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## Reich, Simeon

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 Author ID: reich.simeon Published as: Reich, Simeon; Reich, S. Homepage: http://www.math.technion.ac.il/Site/computing/services/staff-card.php?id=681 External Links: MGP · Math-Net.Ru · dblp
 Documents Indexed: 530 Publications since 1968, including 23 Books Reviewing Activity: 99 Reviews Biographic References: 3 Publications
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#### Co-Authors

 94 single-authored 155 Zaslavski, Alexander Yakovlevich 61 Shoikhet, David 32 Kuczumow, Tadeusz 20 Elin, Mark 18 Aizicovici, Sergiu 17 Kopecká, Eva 15 Budzyńska, Monika 15 Censor, Yair 14 Sabach, Shoham 13 Butnariu, Dan 13 Khatskevich, Victor A. 13 Pustylnik, Evgeniy 12 Gibali, Aviv 12 Zalas, Rafał 10 Levenshtein, Marina 9 Reem, Daniel 9 Trương Minh Tuyên 8 Kaczor, Wiesława J. 8 Shafrir, Itai 7 Agranovsky, Mark L. 7 Bruck, Ronald E. jun. 7 Karp, Lavi 7 Rosen, I. Gary 7 Zalcman, Lawrence Allen 6 Ackleh, Azmy S. 6 Aleyner, Arkady 6 Ben-Artzi, Matania 6 Dye, John Michael 6 Weinstein, Gilbert 5 Bargetz, Christian 5 Bartz, Sedi 5 Galloway, Greg 5 Garcia-Falset, Jesús 4 Alber, Yakov I. 4 Banks, Harvey Thomas 4 Cegielski, Andrzej 4 Gabour, Manal 4 Khavinson, Dmitry S. 4 Martín-Márquez, Victoria 4 Stachura, Adam 4 Yacobzon, Fiana 3 Arav, Marina 3 Bauschke, Heinz H. 3 Borwein, Jonathan Michael 3 Calvert, Bruce D. 3 de Pierro, Alvaro Rodolfo 3 Demetriou, Michael A. 3 Ioffe, Alexander Davidovich 3 Israel, Maximiano M. jun. 3 Khamsi, Mohamed Amine 3 Poffald, Esteban I. 3 Schmidt, Małgorzata 3 Xu, Hong-Kun 2 Aharonov, Dov 2 Alpay, Daniel Aron 2 Baillon, Jean-Bernard 2 Boulos, Wissam 2 Bregman, Lev M. 2 De Blasi, Francesco Saverio 2 Donchev, Tzanko Donchev 2 Dye, J. 2 Farkhi, Elza M. 2 Goebel, Kazimierz 2 Goldvard, Alexander 2 Grzesik, Aleksandra 2 Ha, Mai Thi Ngoc 2 Harris, Lawrence A. 2 Hulbert, Douglas S. 2 Kapeluszny, Jarosław 2 Kirk, William Arthur 2 Kolobov, Victor I. 2 Lin, Pei-Kee 2 Plant, Andrew T. 2 Salinas, Zuly 2 Shemen, Lital 2 Wang, Shawn Xianfu 1 Aguirre Salazar, Lorena 1 Aĭzenberg, Lev Abramovich 1 Ariza-Ruiz, David 1 Bačák, Miroslav 1 Bénéteau, Catherine 1 Bracci, Filippo 1 Bshouty, Daoud H. 1 Byrne, Charles L. 1 Chen, Yuqing 1 Combettes, Patrick L. 1 Cotta, Carlos C. 1 Dijksma, Aad 1 Dong, Qiaoli 1 Dung, Vu Tien 1 Dương Việt Thông 1 Dymond, Michael 1 Fan, Ky 1 Ferdinand, Robert R. 1 Goryainov, Viktor V. 1 Guerre-Delabriere, Sylvie 1 Iusem, Alfredo Noel 1 Jachymsky, Jacek R. 1 Jangveladze, Temur A. 1 Kaper, Hans G. ...and 42 more Co-Authors
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#### Serials

 39 Journal of Nonlinear and Convex Analysis 34 Journal of Mathematical Analysis and Applications 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 13 Numerical Functional Analysis and Optimization 13 Journal of Fixed Point Theory and Applications 13 Nonlinear Analysis. Theory, Methods & Applications 12 Optimization 11 Contemporary Mathematics 10 Fixed Point Theory 9 Abstract and Applied Analysis 9 Fixed Point Theory and Applications 8 American Mathematical Monthly 7 Proceedings of the American Mathematical Society 7 Journal of Convex Analysis 6 Numerical Algorithms 5 Journal of Approximation Theory 5 Journal of Functional Analysis 5 Proceedings of the Japan Academy. Series A 5 SIAM Journal on Optimization 5 Electronic Journal of Differential Equations (EJDE) 5 Taiwanese Journal of Mathematics 5 Set-Valued and Variational Analysis 4 Houston Journal of Mathematics 4 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 4 Journal of Optimization Theory and Applications 4 Mathematica Japonica 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Panamerican Mathematical Journal 4 Communications on Applied Nonlinear Analysis 4 JP Journal of Fixed Point Theory and Applications 3 Israel Journal of Mathematics 3 Mathematics Magazine 3 Commentationes Mathematicae Universitatis Carolinae 3 Integral Equations and Operator Theory 3 Zeitschrift für Analysis und ihre Anwendungen 3 Dynamic Systems and Applications 3 Topological Methods in Nonlinear Analysis 3 Journal of Applied Analysis 3 Communications in Applied Analysis 3 Nonlinear Analysis Forum 3 Computational Methods and Function Theory 3 Communications in Mathematical Analysis 3 3 Analysis and Mathematical Physics 3 Linear and Nonlinear Analysis 3 Pure and Applied Functional Analysis 2 Applicable Analysis 2 Bulletin of the Australian Mathematical Society 2 Journal d’Analyse Mathématique 2 Revue Roumaine de Mathématiques Pures et Appliquées 2 Studia Mathematica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Bulletin of the Calcutta Mathematical Society 2 Canadian Mathematical Bulletin 2 Colloquium Mathematicum 2 Kybernetika 2 Mathematische Nachrichten 2 SIAM Journal on Control and Optimization 2 Transactions of the American Mathematical Society 2 Comptes Rendus Mathématiques de l’Académie des Sciences 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 The Journal of Analysis 2 Discrete and Continuous Dynamical Systems 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Mathematical Proceedings of the Royal Irish Academy 2 Nonlinear Functional Analysis and Applications 2 International Journal of Pure and Applied Mathematics 2 Bollettino della Unione Matematica Italiana. Series IV 2 Chapman & Hall/CRC Research Notes in Mathematics 2 Complex Analysis and Operator Theory 2 Journal of Mathematics and Applications 2 Journal of Nonlinear Analysis and Optimization: Theory & Applications 2 Journal of Nonlinear and Variational Analysis 1 Inverse Problems 1 Journal of Mathematical and Physical Sciences 1 Linear and Multilinear Algebra 1 The Mathematical Gazette 1 Mathematical Methods in the Applied Sciences 1 Acta Scientiarum Mathematicarum 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Commentarii Mathematici Universitatis Sancti Pauli 1 Dissertationes Mathematicae 1 Indian Journal of Mathematics 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematics of Operations Research 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Complex Variables. Theory and Application 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Differential and Integral Equations 1 Journal of Global Optimization 1 Bulletin of the Institute of Mathematics. Academia Sinica ...and 28 more Serials
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#### Fields

 408 Operator theory (47-XX) 132 General topology (54-XX) 119 Functional analysis (46-XX) 69 Operations research, mathematical programming (90-XX) 62 Calculus of variations and optimal control; optimization (49-XX) 54 Numerical analysis (65-XX) 32 Ordinary differential equations (34-XX) 30 Several complex variables and analytic spaces (32-XX) 30 Approximations and expansions (41-XX) 26 Dynamical systems and ergodic theory (37-XX) 25 Functions of a complex variable (30-XX) 21 Global analysis, analysis on manifolds (58-XX) 20 General and overarching topics; collections (00-XX) 18 Partial differential equations (35-XX) 18 Convex and discrete geometry (52-XX) 9 Real functions (26-XX) 9 Systems theory; control (93-XX) 7 Difference and functional equations (39-XX) 7 Integral equations (45-XX) 5 Geometry (51-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 2 Group theory and generalizations (20-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Computer science (68-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

405 Publications have been cited 9,109 times in 3,957 Documents Cited by Year
Uniform convexity, hyperbolic geometry, and nonexpansive mappings. Zbl 0537.46001
Goebel, Kazimierz; Reich, Simeon
1984
Strong convergence theorems for resolvents of accretive operators in Banach spaces. Zbl 0437.47047
Reich, Simeon
1980
Weak convergence theorems for nonexpansive mappings in Banach spaces. Zbl 0423.47026
Reich, Simeon
1979
Algorithms for the split variational inequality problem. Zbl 1239.65041
Censor, Yair; Gibali, Aviv; Reich, Simeon
2012
Fixed points of contractive functions. Zbl 0249.54026
Reich, Simeon
1972
The subgradient extragradient method for solving variational inequalities in Hilbert space. Zbl 1229.58018
Censor, Y.; Gibali, A.; Reich, S.
2011
Nonexpansive projections and resolvents of accretive operators in Banach spaces. Zbl 0383.47035
Bruck, Ronald E.; Reich, Simeon
1977
A weak convergence theorem for the alternating method with Bregman distances. Zbl 0943.47040
Reich, Simeon
1996
Some remarks concerning contraction mappings. Zbl 0211.26002
Reich, Simeon
1971
Nonexpansive iterations in hyperbolic spaces. Zbl 0728.47043
Reich, Simeon; Shafrir, Itai
1990
Asymptotic behavior of contractions in Banach spaces. Zbl 0275.47034
Reich, Simeon
1973
Approximate selections, best approximations, fixed points, and invariant sets. Zbl 0375.47031
Reich, Simeon
1978
Asymptotic behavior of relatively nonexpansive operators in Banach spaces. Zbl 1010.47032
Butnariu, D.; Reich, S.; Zaslavski, A. J.
2001
Iterations of paracontractions and firmly nonexpansive operators with applications to feasibility and optimization. Zbl 0883.47063
Censor, Y.; Reich, S.
1996
Proximinal retracts and best proximity pair theorems. Zbl 1054.47040
Kirk, W. A.; Reich, Simeon; Veeramani, P.
2003
The split common null point problem. Zbl 1262.47073
Byrne, Charles; Censor, Yair; Gibali, Aviv; Reich, Simeon
2012
An iterative method for solving a class of nonlinear operator equations in Banach spaces. Zbl 0851.47043
Alber, Ya. I.; Reich, S.
1994
Projection and proximal point methods: Convergence results and counterexamples. Zbl 1059.47060
Bauschke, Heinz H.; Matoušková, Eva; Reich, Simeon
2004
Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space. Zbl 1232.58008
Censor, Yair; Gibali, Aviv; Reich, Simeon
2011
Weak convergence of orbits of nonlinear operators in reflexive Banach spaces. Zbl 1071.47052
Butnariu, Dan; Reich, Simeon; Zaslavski, Alexander J.
2003
Kannan’s fixed point theorem. Zbl 0219.54042
Reich, Simeon
1971
Extensions of Korpelevich’s extragradient method for the variational inequality problem in Euclidean space. Zbl 1260.65056
Censor, Yair; Gibali, Aviv; Reich, Simeon
2012
Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property. Zbl 0849.47030
Bruck, Ronald; Kuczumow, Tadeusz; Reich, Simeon
1993
Some problems and results in fixed point theory. Zbl 0531.47048
Reich, Simeon
1983
A note on the multiple-set split convex feasibility problem in Hilbert space. Zbl 1171.90009
Masad, Eyal; Reich, Simeon
2007
Fixed point theory in modular function spaces. Zbl 0714.47040
Khamsi, M. A.; Kozlowski, W. M.; Reich, S.
1990
Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces. Zbl 0427.47049
Nevanlinna, Olavi; Reich, Simeon
1979
Product formulas, nonlinear semigroups, and accretive operators. Zbl 0437.47048
Reich, Simeon
1980
Two strong convergence theorems for a proximal method in reflexive Banach spaces. Zbl 1200.47085
Reich, Simeon; Sabach, Shoham
2010
Nonlinear semigroups, fixed points, and geometry of domains in Banach spaces. Zbl 1089.46002
Reich, Simeon; Shoikhet, David
2005
An iterative procedure for constructing zeros of accretive sets in Banach spaces. Zbl 0375.47032
Reich, Simeon
1978
Iterative methods for solving systems of variational inequalities in reflexive Banach spaces. Zbl 1250.47064
Kassay, Gábor; Reich, Simeon; Sabach, Shoham
2011
On the asymptotic behavior of nonexpansive mappings and semigroups in Banach spaces. Zbl 0396.47033
Baillon, J. B.; Bruck, R. E.; Reich, S.
1978
Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces. Zbl 1226.47089
Reich, Simeon; Sabach, Shoham
2010
Extension problems for accretive sets in Banach spaces. Zbl 0378.47037
Reich, Simeon
1977
Fixed points in locally convex spaces. Zbl 0216.17302
Reich, S.
1972
Some fixed point problems. Zbl 0329.47019
Reich, Simeon
1975
A strong convergence theorem for a proximal-type algorithm in reflexive Banach spaces. Zbl 1180.47046
Reich, Simeon; Sabach, Shoham
2009
Approximating fixed points of nonexpansive mappings. Zbl 0856.47032
Reich, Simeon
1994
Anti-periodic solutions to nonmonotone evolution equations with discontinuous nonlinearities. Zbl 0977.34061
Aizicovici, Sergiu; McKibben, Mark; Reich, Simeon
2001
Existence and approximation of fixed points of Bregman firmly nonexpansive mappings in reflexive Banach spaces. Zbl 1245.47015
Reich, Simeon; Sabach, Shoham
2011
Three strong convergence theorems regarding iterative methods for solving equilibrium problems in reflexive Banach spaces. Zbl 1293.47065
Reich, Simeon; Sabach, Shoham
2012
On the asymptotic behavior of nonlinear semigroups and the range of accretive operators. Zbl 0457.47053
Reich, Simeon
1981
Almost convergence and nonlinear ergodic theorems. Zbl 0404.47032
Reich, Simeon
1978
Weak convergence theorems for asymptotically nonexpansive mappings and semigroups. Zbl 0983.47040
Falset, Jesús García; Kaczor, Wiesława; Kuczumow, Tadeusz; Reich, Simeon
2001
On the asymptotic behavior of nonexpansive mappings and semigroups in Banach spaces. Zbl 0431.47034
Baillon, J. B.; Bruck, R. E.; Reich, S.
1978
A limit theorem for projections. Zbl 0523.47040
Reich, Simeon
1983
Fixed points of condensing functions. Zbl 0252.47062
Reich, Simeon
1973
Krasnoselski-Mann iterations in normed spaces. Zbl 0712.47050
Borwein, Jonathan; Reich, Simeon; Shafrir, Itai
1992
Common solutions to variational inequalities. Zbl 1296.47060
Censor, Yair; Gibali, Aviv; Reich, Simeon; Sabach, Shoham
2012
Genericity in nonlinear analysis. Zbl 1296.47002
Reich, Simeon; Zaslavski, Alexander J.
2014
Nonlinear evolution equations and nonlinear ergodic theorems. Zbl 0359.34059
Reich, Simeon
1977
Nonexpansive retracts in Banach spaces. Zbl 1125.46019
Kopecká, Eva; Reich, Simeon
2007
The asymptotic behavior of the composition of two resolvents. Zbl 1075.47033
Bauschke, Heinz H.; Combettes, Patrick L.; Reich, Simeon
2005
An incomplete Cauchy problem. Zbl 0599.34078
Poffald, Esteban I.; Reich, Simeon
1986
On fixed point theorems obtained from existence theorems for differential equations. Zbl 0328.47034
Reich, Simeon
1976
Block-iterative algorithms for solving convex feasibility problems in Hilbert and in Banach spaces. Zbl 1167.90010
Aleyner, Arkady; Reich, Simeon
2008
Complex dynamical systems and the geometry of domains in Banach spaces. Zbl 1060.37038
Elin, Mark; Reich, Simeon; Shoikhet, David
2004
Well-posedness of fixed point problems. Zbl 1014.47033
Reich, Simeon; Zaslavski, Alexander J.
2001
The asymptotic behavior of firmly nonexpansive mappings. Zbl 0649.47043
Reich, Simeon; Shafrir, Itai
1987
An explicit construction of sunny nonexpansive retractions in Banach spaces. Zbl 1096.47055
Aleyner, Arkady; Reich, Simeon
2005
The fixed point property for non-expansive mappings. II. Zbl 0443.47057
Reich, Simeon
1980
Iterative methods for solving fixed-point problems with nonself-mappings in Banach spaces. Zbl 1028.47049
Alber, Yakov; Reich, Simeon; Yao, Jen-Chih
2003
Semigroups and generators on convex domains with the hyperbolic metric. Zbl 0905.47056
Reich, Simeon; Shoikhet, David
1997
Iterative averaging of entropic projections for solving stochastic convex feasibility problems. Zbl 0880.90106
Butnariu, Dan; Censor, Yair; Reich, Simeon
1997
Fitzpatrick functions, cyclic monotonicity and Rockafellar’s antiderivative. Zbl 1119.47050
Bartz, Sedi; Bauschke, Heinz H.; Borwein, Jonathan M.; Reich, Simeon; Wang, Xianfu
2007
Iterative methods for approximating fixed points of Bregman nonexpansive operators. Zbl 1266.26023
Martín-Márquez, Victoria; Reich, Simeon; Sabach, Shoham
2013
Approximating zeros of accretive operators. Zbl 0294.47042
Reich, Simeon
1975
The fixed point property for non-expansive mappings. Zbl 0336.47033
Reich, Simeon
1976
Bregman strongly nonexpansive operators in reflexive Banach spaces. Zbl 1284.47033
Martín-Márquez, Victoria; Reich, Simeon; Sabach, Shoham
2013
Integral solutions to a class of nonlocal evolution equations. Zbl 1217.34103
García-Falset, Jesùs; Reich, Simeon
2010
Convergence to fixed points of inexact orbits of Bregman-monotone and of nonexpansive operators in Banach spaces. Zbl 1116.47052
Butnariu, Dan; Reich, Simeon; Zaslavski, Alexander J.
2006
Generation theory for semigroups of holomorphic mappings in Banach spaces. Zbl 0945.46026
Reich, Simeon; Shoikhet, David
1996
Accretive operators, Banach limits, and dual ergodic theorems. Zbl 0492.47030
Bruck, Ronald E.; Reich, Simeon
1981
The asymptotic behavior of a class of nonlinear semigroups in Hadamard spaces. Zbl 1339.47074
Bačák, Miroslav; Reich, Simeon
2014
A projection method for solving nonlinear problems in reflexive Banach spaces. Zbl 1206.47043
Reich, Simeon; Sabach, Shoham
2011
Generic existence and approximation of fixed points for nonexpansive set-valued maps. Zbl 1183.47055
de Blasi, Francesco S.; Myjak, Józef; Reich, Simeon; Zaslavski, Alexander J.
2009
Constructing zeros of accretive operators. II. Zbl 0424.47034
Reich, Simeon
1979
Weak convergence of infinite products of operators in Hadamard spaces. Zbl 1348.47064
Reich, Simeon; Salinas, Zuly
2016
A characterization of Bregman firmly nonexpansive operators using a new monotonicity concept. Zbl 1221.26019
Borwein, Jonathan M.; Reich, Simeon; Sabach, Shoham
2011
A note on a mean ergodic theorem for nonlinear semigroups. Zbl 0521.47034
Reich, Simeon
1983
The Hundal example revisited. Zbl 1065.47048
Matoušková, Eva; Reich, Simeon
2003
Asymptotic behavior of semigroups on nonlinear contractions in Banach spaces. Zbl 0337.47027
Reich, Simeon
1976
The range of sums of accretive and monotone operators. Zbl 0423.47022
Reich, Simeon
1979
Right Bregman nonexpansive operators in Banach spaces. Zbl 1408.47011
Martín-Márquez, Victoria; Reich, Simeon; Sabach, Shoham
2012
A note on the von Neumann alternating projections algorithm. Zbl 1066.46019
Kopecká, Eva; Reich, Simeon
2004
Constructive techniques for accretive and monotone operators. Zbl 0444.47042
Reich, Simeon
1979
Parametric representations of semi-complete vector fields on the unit balls in $$\mathbb{C}^ n$$ and in Hilbert space. Zbl 1036.32017
Aharonov, Dov; Elin, Mark; Reich, Simeon; Shoikhet, David
1999
Averaged mappings in the Hilbert ball. Zbl 0588.47061
Reich, Simeon
1985
Random products of contractions in Banach spaces. Zbl 0735.47001
Dye, J.; Khamsi, M. A.; Reich, S.
1991
Reflexivity and approximate fixed points. Zbl 1054.46013
Matoušková, Eva; Reich, Simeon
2003
The alternating algorithm of von Neumann in the Hilbert ball. Zbl 0768.41032
Reich, Simeon
1993
Convergence of Krasnoselskii-Mann iterations of nonexpansive operators. Zbl 0977.47046
Reich, S.; Zaslavski, A. J.
2000
Fixed point theorems for set-valued mappings. Zbl 0423.47027
Reich, Simeon
1979
Iterating holomorphic self-mappings of the Hilbert ball. Zbl 0543.47049
Goebel, Kazimierz; Reich, Simeon
1982
Outer approximation methods for solving variational inequalities in Hilbert space. Zbl 1367.58006
Gibali, Aviv; Reich, Simeon; Zalas, Rafał
2017
Unrestricted iterations of nonexpansive mappings in Hilbert space. Zbl 0753.47024
Dye, John M.; Reich, Simeon
1992
Linearization models for parabolic dynamical systems via Abel’s functional equation. Zbl 1238.30010
Elin, Mark; Khavinson, Dmitry; Reich, Simeon; Shoikhet, David
2010
A fixed point theorem for locally contractive multi-valued functions. Zbl 0239.54033
Reich, Simeon
1972
Model reference adaptive control of distributed parameter systems. Zbl 0919.93044
Böhm, Michael; Demetriou, M. A.; Reich, Simeon; Rosen, I. G.
1998
New algorithms and convergence theorems for solving variational inequalities with non-Lipschitz mappings. Zbl 1465.65054
Reich, Simeon; Thong, Duong Viet; Dong, Qiao-Li; Li, Xiao-Huan; Dung, Vu Tien
2021
A new algorithm for solving the split common null point problem in Hilbert spaces. Zbl 07160103
Reich, Simeon; Tuyen, Truong Minh
2020
Iterative methods for solving the generalized split common null point problem in Hilbert spaces. Zbl 1445.47043
Reich, Simeon; Truong Minh Tuyen
2020
Parallel iterative methods for solving the split common fixed point problem in Hilbert spaces. Zbl 1442.47064
Reich, Simeon; Truong Minh Tuyen; Nguyen Minh Trang
2020
Weak, strong and linear convergence of the CQ-method via the regularity of Landweber operators. Zbl 1435.47063
Cegielski, Andrzej; Reich, Simeon; Zalas, Rafał
2020
Two projection methods for solving the multiple-set split common null point problem in Hilbert spaces. Zbl 07249879
Reich, Simeon; Tuyen, Truong Minh
2020
The split feasibility problem with multiple output sets in Hilbert spaces. Zbl 1460.90201
Reich, Simeon; Truong, Minh Tuyen; Mai, Thi Ngoc Ha
2020
Two projection algorithms for solving the split common fixed point problem. Zbl 07220280
Reich, Simeon; Tuyen, Truong Minh
2020
Existence of diametrically complete sets with empty interior in reflexive and separable Banach spaces. Zbl 1450.46008
Budzyńska, Monika; Kuczumow, Tadeusz; Reich, Simeon; Walczyk, Mariola
2020
Parallel iterative methods for solving the generalized split common null point problem in Hilbert spaces. Zbl 07258362
Reich, Simeon; Tuyen, Truong Minh
2020
Means and convergence of semigroup orbits. Zbl 07285141
Grzesik, Aleksandra; Kaczor, Wiesława; Kuczumow, Tadeusz; Reich, Simeon
2020
Outer approximation methods for solving variational inequalities defined over the solution set of a split convex feasibility problem. Zbl 1446.47062
Cegielski, Andrzej; Gibali, Aviv; Reich, Simeon; Zalas, Rafał
2020
Re-examination of Bregman functions and new properties of their divergences. Zbl 1407.52008
Reem, Daniel; Reich, Simeon; De Pierro, Alvaro
2019
Numerical range of holomorphic mappings and applications. Zbl 1437.30001
Elin, Mark; Reich, Simeon; Shoikhet, David
2019
Fixed points of Legendre-Fenchel type transforms. Zbl 07036242
Iusem, Alfredo N.; Reem, Daniel; Reich, Simeon
2019
Convergence of iterates of nonexpansive mappings and orbits of nonexpansive semigroups. Zbl 07053114
Grzesik, Aleksandra; Kaczor, Wiesława; Kuczumow, Tadeusz; Reich, Simeon
2019
A telescopic Bregmanian proximal gradient method without the global Lipschitz continuity assumption. Zbl 1427.90222
Reem, Daniel; Reich, Simeon; De Pierro, Alvaro
2019
Asymptotic behavior of a dynamical system on a metric space. Zbl 1435.37028
Reich, Simeon; Zaslavski, Alexander J.
2019
Linear convergence rates for extrapolated fixed point algorithms. Zbl 07007071
Bargetz, Christian; Kolobov, Victor I.; Reich, Simeon; Zalas, Rafał
2019
The Bolzano-Poincaré-Miranda theorem in infinite-dimensional Banach spaces. Zbl 07077005
Ariza-Ruiz, David; Garcia-Falset, Jesús; Reich, Simeon
2019
Convergence properties of dynamic string-averaging projection methods in the presence of perturbations. Zbl 1459.47023
Bargetz, Christian; Reich, Simeon; Zalas, Rafał
2018
Solutions to inexact resolvent inclusion problems with applications to nonlinear analysis and optimization. Zbl 1401.90233
Reem, Daniel; Reich, Simeon
2018
Regular sequences of quasi-nonexpansive operators and their applications. Zbl 1391.41006
Cegielski, Andrzej; Reich, Simeon; Zalas, Rafał
2018
Generic well-posedness of fixed point problems. Zbl 1394.47059
Reich, Simeon; Zaslavski, Alexander J.
2018
Generic well-posedness of the fixed point problem for monotone nonexpansive mappings. Zbl 1416.47002
Reich, Simeon; Zaslavski, Alexander J.
2018
Fixed points of polarity type operators. Zbl 06925409
Reem, Daniel; Reich, Simeon
2018
Well-posedness of fixed point problems for monotone nonexpansive mappings. Zbl 07304688
Reich, Simeon; Zaslavski, Alexander J.
2018
Outer approximation methods for solving variational inequalities in Hilbert space. Zbl 1367.58006
Gibali, Aviv; Reich, Simeon; Zalas, Rafał
2017
Weak, strong, and linear convergence of a double-layer fixed point algorithm. Zbl 1369.47072
Kolobov, Victor I.; Reich, Simeon; Zalas, Rafał
2017
Monotone contractive mappings. Zbl 1437.54066
Reich, Simeon; Zaslavski, Alexander J.
2017
Convergence to approximate solutions and perturbation resilience of iterative algorithms. Zbl 1456.47030
Reich, Simeon; Zaslavski, Alexander J.
2017
Porosity results for sets of strict contractions on geodesic metric spaces. Zbl 06850992
Bargetz, Christian; Dymond, Michael; Reich, Simeon
2017
The optimal error bound for the method of simultaneous projections. Zbl 1381.41013
Reich, Simeon; Zalas, Rafał
2017
Ergodic properties of random infinite products of nonexpansive mappings. Zbl 1383.47008
Reich, Simeon; Zaslavski, Alexander J.
2017
Weak convergence of infinite products of operators in Hadamard spaces. Zbl 1348.47064
Reich, Simeon; Salinas, Zuly
2016
A modular string averaging procedure for solving the common fixed point problem for quasi-nonexpansive mappings in Hilbert space. Zbl 1348.47065
Reich, Simeon; Zalas, Rafał
2016
Two porosity theorems for nonexpansive mappings in hyperbolic spaces. Zbl 1326.54048
Reich, Simeon; Zaslavski, Alexander J.
2016
Domains of accretive operators in Banach spaces. Zbl 1440.47042
Garcia-Falset, Jesús; Muñiz-Pérez, Omar; Reich, Simeon
2016
Growth estimates for the numerical range of holomorphic mappings and applications. Zbl 1367.47066
Bracci, Filippo; Levenshtein, Marina; Reich, Simeon; Shoikhet, David
2016
A convex analytic inequality revisited. Zbl 1366.46061
Reich, Simeon; Wang, Xianfu
2016
A weak ergodic theorem for infinite products of holomorphic mappings. Zbl 1370.37015
Reich, Simeon; Zaslavski, Alexander J.
2016
Contractive set-valued mappings. Zbl 1410.47020
Reich, Simeon; Zaslavski, Alexander J.
2016
Iterative methods for solving variational inequalities in Euclidean space. Zbl 1332.47044
Gibali, Aviv; Reich, Simeon; Zalas, Rafał
2015
A remark on weakly contractive mappings. Zbl 1315.54025
Aguirre Salazar, Lorena; Reich, Simeon
2015
Approximate fixed points of nonexpansive set-valued mappings in unbounded sets. Zbl 1329.47058
Reich, Simeon; Zaslavski, Alexander J.
2015
Infinite products of discontinuous operators in Banach and metric spaces. Zbl 1435.47061
Reich, Simeon; Salinas, Zuly
2015
Variants of Caristi’s fixed point theorem. Zbl 1325.54046
Reich, Simeon; Zaslavski, Alexander J.
2015
Genericity and porosity in fixed point theory: a survey of recent results. Zbl 1347.54002
Reich, Simeon; Zaslavski, Alexander J.
2015
Generic contractivity of nonexpansive mappings with unbounded domains. Zbl 1442.54047
Reich, Simeon; Zaslavski, Alexander J.
2015
The Denjoy-Wolff iteration property in the Hilbert ball. Zbl 1314.32006
Budzyńska, Monika; Reich, Simeon
2015
The common fixed point set of commuting holomorphic mappings in Cartesian products of Banach spaces. Zbl 1318.32003
Budzyńska, Monika; Kuczumow, Tadeusz; Reich, Simeon
2015
Contractivity and genericity results for a class of nonlinear mappings. Zbl 1335.47034
Reich, Simeon; Zaslavski, Alexander J.
2015
Infinite products of discontinuous operators. Zbl 1353.47024
Pustylnik, Evgeniy; Reich, Simeon
2015
Contractivity, porosity and infinite products. Zbl 1325.47097
Reich, Simeon; Zaslavski, Alexander J.
2015
Limiting behavior of the Kobayashi distance. Zbl 1357.32016
Budzyńska, Monika; Kuczumow, Tadeusz; Reich, Simeon
2015
Invariant sets of nonexpansive mappings. Zbl 06651357
Reich, Simeon; Zaslavski, Alexander J.
2015
Genericity in nonlinear analysis. Zbl 1296.47002
Reich, Simeon; Zaslavski, Alexander J.
2014
The asymptotic behavior of a class of nonlinear semigroups in Hadamard spaces. Zbl 1339.47074
Bačák, Miroslav; Reich, Simeon
2014
Approximating fixed points in the Hilbert ball. Zbl 1344.32003
Kopecká, Eva; Reich, Simeon
2014
Porosity and the bounded linear regularity property. Zbl 1310.46025
Reich, Simeon; Zaslavski, Alexander J.
2014
Optimal pricing for optimal transport. Zbl 1296.49030
Bartz, Sedi; Reich, Simeon
2014
An example concerning bounded linear regularity of subspaces in Hilbert space. Zbl 1295.46018
Reich, Simeon; Zaslavski, Alexander J.
2014
Asymptotic behavior of inexact infinite products of nonexpansive mappings in metric spaces. Zbl 1307.47060
Reich, Simeon; Zaslavski, Alexander J.
2014
Three generic results in holomorphic fixed point theory. Zbl 1385.47023
Reich, Simeon; Zaslavski, Alexander J.
2014
A generic fixed point theorem. Zbl 1333.47043
Gabour, Manal; Reich, Simeon; Zaslavski, Alexander J.
2014
Farthest points and porosity. Zbl 1309.41018
Boulos, Wissam; Reich, Simeon
2014
Some inequalities for the horosphere function and hyperbolically nonexpansive mappings on the Hilbert ball. Zbl 1341.32014
Elin, M.; Levenshtein, M.; Reich, S.; Shoikhet, D.
2014
Iterative methods for approximating fixed points of Bregman nonexpansive operators. Zbl 1266.26023
Martín-Márquez, Victoria; Reich, Simeon; Sabach, Shoham
2013
Bregman strongly nonexpansive operators in reflexive Banach spaces. Zbl 1284.47033
Martín-Márquez, Victoria; Reich, Simeon; Sabach, Shoham
2013
An algorithm for solving the variational inequality problem over the fixed point set of a quasi-nonexpansive operator in Euclidean space. Zbl 1296.47069
Cegielski, Andrzej; Gibali, Aviv; Reich, Simeon; Zalas, Rafał
2013
Approximate fixed points of nonexpansive mappings in unbounded sets. Zbl 1300.47068
Reich, Simeon; Zaslavski, Alexander J.
2013
Inner inclination of subspaces and infinite products of orthogonal projections. Zbl 1276.41028
Pustylnik, Evgeniy; Reich, Simeon; Zaslavski, Alexander J.
2013
Finite element approximations of a nonlinear diffusion model with memory. Zbl 1276.65094
Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny; Reich, Simeon
2013
A note on Halpern’s algorithm in the Hilbert ball. Zbl 1323.47077
Reich, Simeon; Shemen, Lital
2013
A Denjoy-Wolf theorem for compact holomorphic mappings in complex Banach spaces. Zbl 1305.46065
Budzyńska, Monika; Kuczumow, Tadeusz; Reich, Simeon
2013
Theorems of Denjoy-Wolff type. Zbl 1273.32004
Budzyńska, Monika; Kuczumow, Tadeusz; Reich, Simeon
2013
Existence and approximation of fixed points of right Bregman nonexpansive operators. Zbl 1294.47073
Martín-Márquez, Victoria; Reich, Simeon; Sabach, Shoham
2013
Ergodicity, numerical range, and fixed points of holomorphic mappings. Zbl 1279.46028
Reich, Simeon; Shoikhet, David; Zemánek, Jaroslav
2013
A fixed point theorem for contractive non-self mappings. Zbl 1320.54045
Reich, Simeon; Zaslavski, Alexander J.
2013
Generic contractivity for a class of nonlinear mappings. Zbl 1300.47062
Reich, Simeon; Zaslavski, Alexander J.
2013
Algorithms for the split variational inequality problem. Zbl 1239.65041
Censor, Yair; Gibali, Aviv; Reich, Simeon
2012
The split common null point problem. Zbl 1262.47073
Byrne, Charles; Censor, Yair; Gibali, Aviv; Reich, Simeon
2012
Extensions of Korpelevich’s extragradient method for the variational inequality problem in Euclidean space. Zbl 1260.65056
Censor, Yair; Gibali, Aviv; Reich, Simeon
2012
Three strong convergence theorems regarding iterative methods for solving equilibrium problems in reflexive Banach spaces. Zbl 1293.47065
Reich, Simeon; Sabach, Shoham
2012
Common solutions to variational inequalities. Zbl 1296.47060
Censor, Yair; Gibali, Aviv; Reich, Simeon; Sabach, Shoham
2012
Right Bregman nonexpansive operators in Banach spaces. Zbl 1408.47011
Martín-Márquez, Victoria; Reich, Simeon; Sabach, Shoham
2012
A von Neumann alternating method for finding common solutions to variational inequalities. Zbl 1263.47077
Censor, Yair; Gibali, Aviv; Reich, Simeon
2012
Convergence of non-periodic infinite products of orthogonal projections and nonexpansive operators in Hilbert space. Zbl 1248.47052
Pustylnik, Evgeniy; Reich, Simeon; Zaslavski, Alexander J.
2012
Abstract convex optimal antiderivatives. Zbl 1259.47064
Bartz, Sedi; Reich, Simeon
2012
A note on alternating projections in Hilbert space. Zbl 1264.41033
Kopecká, Eva; Reich, Simeon
2012
Zone diagrams in compact subsets of uniformly convex normed spaces. Zbl 1256.52003
Kopecká, Eva; Reem, Daniel; Reich, Simeon
2012
Optimization theory and related topics. A workshop in memory of Dan Butnariu, Haifa, Israel, January 11–14, 2010. Zbl 1241.00017
Reich, Simeon; Zaslavski, Alexander J.
2012
Asymptotic behavior of perturbed iterates of set-valued mappings. Zbl 1329.54052
Pustylnik, Evgeniy; Reich, Simeon; Zaslavski, Alexander J.
2012
A Denjoy-Wolff theorem for compact holomorphic mappings in reflexive Banach spaces. Zbl 1329.32007
Budzyńska, Monika; Kuczumow, Tadeusz; Reich, Simeon
2012
A note on inexact infinite products. Zbl 1287.54044
Reich, Simeon; Zaslavski, Alexander J.
2012
The subgradient extragradient method for solving variational inequalities in Hilbert space. Zbl 1229.58018
Censor, Y.; Gibali, A.; Reich, S.
2011
Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space. Zbl 1232.58008
Censor, Yair; Gibali, Aviv; Reich, Simeon
2011
Iterative methods for solving systems of variational inequalities in reflexive Banach spaces. Zbl 1250.47064
Kassay, Gábor; Reich, Simeon; Sabach, Shoham
2011
Existence and approximation of fixed points of Bregman firmly nonexpansive mappings in reflexive Banach spaces. Zbl 1245.47015
Reich, Simeon; Sabach, Shoham
2011
A projection method for solving nonlinear problems in reflexive Banach spaces. Zbl 1206.47043
Reich, Simeon; Sabach, Shoham
2011
...and 305 more Documents
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#### Cited by 2,664 Authors

 186 Reich, Simeon 121 Kumam, Poom 85 Cho, Yeol Je 80 Yao, Jen-Chih 79 Shahzad, Naseer 78 Shehu, Yekini 72 Zegeye, Habtu 70 Qin, Xiaolong 63 Takahashi, Wataru 60 Ceng, Lu-Chuan 60 Chang, Shih-Sen 58 Chidume, Charles Ejike 58 Zaslavski, Alexander Yakovlevich 57 Xu, Hong-Kun 54 Suantai, Suthep 53 Kang, Shin Min 52 Su, Yongfu 49 Mewomo, Oluwatosin Temitope 45 Khamsi, Mohamed Amine 44 Bauschke, Heinz H. 44 Cholamjiak, Prasit 42 Yao, Yonghong 41 Dang Van Hieu 40 Kim, Jong Kyu 39 Dương Việt Thông 37 Agarwal, Ravi P. 36 Zhou, Haiyun 34 Marino, Giuseppe 34 Shoikhet, David 33 Abbas, Mujahid 33 Song, Yisheng 32 Gibali, Aviv 32 Liou, Yeongcheng 31 Dong, Qiaoli 31 Karapınar, Erdal 31 Petruşel, Adrian 29 O’Regan, Donal 29 Wang, Shawn Xianfu 28 Hamada, Hidetaka 28 Hussain, Nawab 28 Sintunavarat, Wutiphol 28 Trương Minh Tuyên 28 Wangkeeree, Rabian 26 Djafari Rouhani, Behzad 26 He, Songnian 26 Iyiola, Olaniyi Samuel 26 Khatibzadeh, Hadi 26 Kohr, Gabriela 25 Censor, Yair 25 Jung, Jong Soo 24 Ansari, Qamrul Hasan 24 de la Sen, Manuel 24 Saejung, Satit 24 Samet, Bessem 24 Wen, Chingfeng 23 Izuchukwu, Chinedu 23 Kohlenbach, Ulrich Wilhelm 22 Cho, Sun Young 22 Latif, Abdul 21 Basha, S. Sadiq 21 Du, Wei-Shih 21 Elin, Mark 21 Jolaoso, Lateef Olakunle 21 Kuczumow, Tadeusz 21 Naraghirad, Eskandar 21 Saewan, Siwaporn 20 Bracci, Filippo 20 Cai, Gang 20 Combettes, Patrick L. 20 Wang, Lin 19 Chen, Rudong 19 Kazmi, Kaleem Raza 19 Sahu, Daya Ram 19 Suzuki, Tomonari 19 Vetro, Calogero 18 Kimura, Yasunori 18 Radenovic, Stojan 17 Iiduka, Hideaki 17 Khan, Abdul Rahim 17 Kirk, William Arthur 17 López Acedo, Genaro 17 Nashine, Hemant Kumar 16 Ali, Bashir 16 Graham, Ian R. 16 Kozłowski, Wojciech M. 15 Abdou, Afrah Ahmad Noan 15 Jleli, Mohamed 15 Panyanak, Bancha 15 Park, Sehie 15 Postolache, Mihai 15 Ugwunnadi, Godwin Chidi 14 Altun, Ishak 14 Aydi, Hassen Mohamed 14 Díaz-Madrigal, Santiago 14 Espínola García, Rafael 14 Gabeleh, Moosa 14 Leuştean, Laurenţiu 14 Ofoedu, Eric U. 14 Ogbuisi, Ferdinard Udochukwu 14 Phuengrattana, Withun ...and 2,564 more Authors
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#### Cited in 344 Serials

 457 Fixed Point Theory and Applications 261 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 260 Journal of Fixed Point Theory and Applications 255 Journal of Mathematical Analysis and Applications 152 Abstract and Applied Analysis 112 Optimization 108 Journal of Inequalities and Applications 87 Numerical Functional Analysis and Optimization 86 Nonlinear Analysis. Theory, Methods & Applications 77 Journal of Optimization Theory and Applications 74 Proceedings of the American Mathematical Society 71 Applied Mathematics and Computation 70 Numerical Algorithms 55 Computers & Mathematics with Applications 55 Journal of Nonlinear Science and Applications 49 Journal of Applied Mathematics 47 Journal of Global Optimization 44 Journal of Function Spaces 42 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 39 Optimization Letters 37 Journal of Approximation Theory 34 Journal of Computational and Applied Mathematics 33 Applied Mathematics Letters 30 Israel Journal of Mathematics 29 Bulletin of the Australian Mathematical Society 29 Rendiconti del Circolo Matemàtico di Palermo. Serie II 26 International Journal of Mathematics and Mathematical Sciences 26 Computational and Applied Mathematics 25 Mathematical and Computer Modelling 23 Transactions of the American Mathematical Society 23 Afrika Matematika 22 Set-Valued and Variational Analysis 20 Journal of Applied Mathematics and Computing 20 Mediterranean Journal of Mathematics 19 Mathematical Programming. Series A. Series B 19 Computational Optimization and Applications 18 SIAM Journal on Optimization 18 Optimization Methods & Software 18 Journal of Mathematics 16 Results in Mathematics 16 Acta Mathematica Sinica. English Series 16 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 15 Applicable Analysis 15 Journal of Functional Analysis 15 Topology and its Applications 15 Applied Mathematics and Mechanics. (English Edition) 14 The Journal of Analysis 14 Arabian Journal of Mathematics 14 Journal of Nonlinear and Variational Analysis 13 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Demonstratio Mathematica 13 Vietnam Journal of Mathematics 13 Analysis and Mathematical Physics 12 Journal d’Analyse Mathématique 12 Complex Analysis and Operator Theory 11 Nonlinear Analysis. Modelling and Control 11 Thai Journal of Mathematics 11 Nonlinear Analysis. Hybrid Systems 11 Applied General Topology 10 Proceedings of the Japan Academy. Series A 10 Asian-European Journal of Mathematics 9 Acta Mathematica Vietnamica 9 Advances in Mathematics 9 Acta Applicandae Mathematicae 9 Discrete Dynamics in Nature and Society 9 ISRN Mathematical Analysis 8 Inverse Problems 8 Automatica 8 Journal of Differential Equations 8 Mathematische Annalen 8 Applied Numerical Mathematics 8 Journal of Scientific Computing 8 Linear Algebra and its Applications 8 Journal of Mathematical Sciences (New York) 8 Mathematical Problems in Engineering 8 Journal of Applied Analysis 8 Boundary Value Problems 8 Journal of Nonlinear Analysis and Optimization: Theory & Applications 8 Mathematics 7 Applied Mathematics and Optimization 7 Calcolo 7 Czechoslovak Mathematical Journal 7 Integral Equations and Operator Theory 7 Zeitschrift für Analysis und ihre Anwendungen 7 Journal of Convex Analysis 7 International Journal of Analysis 7 Journal of Linear and Topological Algebra 7 Sahand Communications in Mathematical Analysis 6 Rocky Mountain Journal of Mathematics 6 Archiv der Mathematik 6 Journal of Soviet Mathematics 6 Journal of the Egyptian Mathematical Society 6 Journal of Difference Equations and Applications 6 Journal of Evolution Equations 6 Journal of the Australian Mathematical Society 6 Cubo 6 Mathematical Sciences 6 Korean Journal of Mathematics 5 Mathematical Methods in the Applied Sciences 5 Mathematical Notes ...and 244 more Serials
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#### Cited in 55 Fields

 2,916 Operator theory (47-XX) 872 General topology (54-XX) 611 Numerical analysis (65-XX) 531 Operations research, mathematical programming (90-XX) 500 Calculus of variations and optimal control; optimization (49-XX) 307 Functional analysis (46-XX) 152 Ordinary differential equations (34-XX) 118 Approximations and expansions (41-XX) 91 Partial differential equations (35-XX) 90 Functions of a complex variable (30-XX) 80 Several complex variables and analytic spaces (32-XX) 72 Dynamical systems and ergodic theory (37-XX) 61 Convex and discrete geometry (52-XX) 60 Integral equations (45-XX) 47 Global analysis, analysis on manifolds (58-XX) 41 Real functions (26-XX) 40 Computer science (68-XX) 39 Difference and functional equations (39-XX) 38 Systems theory; control (93-XX) 35 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 33 Mathematical logic and foundations (03-XX) 31 Differential geometry (53-XX) 25 Biology and other natural sciences (92-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 22 Probability theory and stochastic processes (60-XX) 20 Combinatorics (05-XX) 18 Algebraic topology (55-XX) 16 Measure and integration (28-XX) 13 Information and communication theory, circuits (94-XX) 10 Sequences, series, summability (40-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Group theory and generalizations (20-XX) 9 Statistics (62-XX) 8 Geometry (51-XX) 7 Abstract harmonic analysis (43-XX) 7 Mechanics of deformable solids (74-XX) 5 Number theory (11-XX) 5 Fluid mechanics (76-XX) 4 General and overarching topics; collections (00-XX) 4 Potential theory (31-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX)