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Gel’man, Boris Danielovich

Author ID: gelman.boris-d Recent zbMATH articles by "Gel’man, Boris Danielovich"
Published as: Gel’man, B. D.; Gel’man, Boris D.; Gelman, B. D.; Gel’man, Boris; Gel’man, Boris Danielovich; Gel’man, Boris Danilovich; Gelman, Boris; Gel’man, B.
External Links: MGP · Math-Net.Ru
Documents Indexed: 88 Publications since 1969, including 4 Books
Reviewing Activity: 4 Reviews
Biographic References: 1 Publication
Co-Authors: 31 Co-Authors with 50 Joint Publications
568 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 361 times in 276 Documents Cited by Year
Introduction to the theory of multi-valued mappings and differential inclusions. With a preface by Gel’man and Obukhovskiĭ. 2nd revised and enlarged ed. (Введение в теорию многозначных отображений и дифференциальных включений.) Zbl 1231.54001
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskiĭ, V. V.
70
2011
Locally covering maps in metric spaces and coincidence points. Zbl 1182.54050
Arutyunov, Aram; Avakov, Evgeniy; Gel’man, Boris; Dmitruk, Andrei; Obukhovskii, Valeri
51
2009
Topological methods in the fixed-point theory of multi-valued maps. Zbl 0464.55003
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
41
1980
Introduction to the theory of multivalued maps and differential inclusions. (Введение в теорию многозначных отображений и дифференциальных включений.) Zbl 1126.34001
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskiĭ, V. V.
39
2005
Multivalued mappings. Zbl 0529.54013
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
35
1984
Multivalued maps and differential inclusions. Elements of theory and applications. Zbl 1454.49001
Obukhovskii, Valeri; Gel’man, Boris
15
2020
Introduction to the theory of multi-valued mappings. (Vvedenie v teoriyu mnogoznachnykh otobrazhenij.) Zbl 0683.54001
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
11
1986
Topological properties of the set of fixed points of a multivalued map. Zbl 0903.54034
Gel’man, B. D.
9
1997
A generalized implicit function theorem. Zbl 0997.49021
Gel’man, B. D.
9
2001
Multivalued analysis and operator inclusions. Zbl 0725.54015
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
9
1987
The solution set of BVP for some functional differential inclusions. Zbl 0931.34046
Augustynowicz, A.; Dzedzej, Z.; Gelman, B. D.
9
1998
On the structure of the set of coincidence points. Zbl 1322.54026
Arutyunov, A. V.; Gel’man, B. D.
9
2015
Caristi-like condition. Existence of solutions to equations and minima of functions in metric spaces. Zbl 1454.54027
Arutyunov, A. V.; Gel’man, B. D.; Zhukovskiy, E. S.; Zhukovskiy, S. E.
8
2019
Set-valued maps. Zbl 0514.54009
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
5
1982
Multivalued contraction maps and their applications. Zbl 1480.47079
Gel’man, B. D.
5
2009
Borsuk-Ulam theorem in infinite-dimensional Banach spaces. Zbl 1026.47038
Gel’man, B. D.
3
2002
On a class of operator equations. Zbl 1035.47045
Gel’man, B. D.
3
2001
Minimum of a functional in a metric space and fixed points. Zbl 1224.58024
Arutyunov, A. V.; Gel’man, B. D.
3
2009
Continuous approximations of multivalued mappings and fixed points. Zbl 1079.47057
Gel’man, B. D.
3
2005
On the topological dimension of the solutions sets for some classes of operator and differential inclusions. Zbl 1041.47031
Bader, Ralf; Gel’man, Boris D.; Kamenskii, Mikhail; Obukhovskii, Valeri
2
2002
Dimension of the solution set for differential inclusions. Zbl 0783.34008
Dzedzej, Z.; Gelman, B. D.
2
1993
An infinite-dimensional version of the Borsuk-Ulam theorem. Zbl 1069.47012
Gel’man, B. D.
2
2004
Generalized degree of multi-valued mappings. Zbl 0784.54021
Gel’man, B. D.
1
1991
Caristi’s inequality and \(\alpha \)-contraction mappings. Zbl 1435.54020
Gel’man, Boris D.
1
2019
On new results in the theory of multi-valued mappings. II: Analysis and applications. Zbl 0756.55001
Gel’man, B. D.; Obukhovskij, V. V.
1
1991
Bourgin–Yang-type theorem for \(a\)-compact perturbations of closed operators. I: The case of index theories with dimension property. Zbl 1130.47037
Antonyan, Sergey A.; Balanov, Zalman I.; Gel’man, Boris D.
1
2006
New results in the theory of multivalued mappings. II: Analysis and applications. Zbl 0783.55003
Gel’man, B. D.; Obukhovskij, V. V.
1
1991
On homotopic properties of spaces of subsets. Zbl 0593.55001
Benkafadar, N.; Gel’man, B. D.
1
1983
On fixed point theorems of Kakutani type for many-valued mappings. Zbl 0693.54026
Gel’man, B. D.
1
1988
The two-point boundary value problem in geometrical mechanics with discontinuous forces. Zbl 0477.70016
Gel’man, B. D.; Gliklikh, Yu. E.
1
1980
On the rotation of multivalued vector fields. Zbl 0193.11003
Borisovich, Yu. G.; Gel’man, B. D.; Mukhamadiev, Eh.; Obukhovskij, V. V.
1
1969
New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations. Zbl 0711.55002
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
1
1990
Periodic trajectories and coincidence points of tuples of set-valued maps. Zbl 06951621
Gel’man, B. D.
1
2018
Operator equations and Cauchy problem for degenerate differential equations. (Operator equations and Cauchy problem for degeneration differential equations.) Zbl 1474.34405
Gel’man, B. D.
1
2007
On the Cauchy problem for a class of degenerate differential equations with Lipschitz right-hand side. Zbl 1173.47057
Gelman, B. D.
1
2008
On a class of multivalued maps. Zbl 1165.54304
Bader, R.; Gel’man, B. D.; Obukhovskij, V. V.
1
2002
On approximations of multivalued maps. Zbl 06481521
Gel’man, B. D.; Al-Hahemi, H. R.
1
2003
On condensing perturbations of closed linear surjective operators. Zbl 1296.47057
Gel’man, B. D.; Kalabukhova, S. N.
1
2012
On local solutions of degenerate differential inclusions. Zbl 1276.34052
Gel’man, B. D.
1
2012
On fixed points of acyclic type multivalued maps. Zbl 1373.37066
Gel’man, Boris D.; Obukhovskii, V. V.
1
2017
Multivalued maps and differential inclusions. Elements of theory and applications. Zbl 1454.49001
Obukhovskii, Valeri; Gel’man, Boris
15
2020
Caristi-like condition. Existence of solutions to equations and minima of functions in metric spaces. Zbl 1454.54027
Arutyunov, A. V.; Gel’man, B. D.; Zhukovskiy, E. S.; Zhukovskiy, S. E.
8
2019
Caristi’s inequality and \(\alpha \)-contraction mappings. Zbl 1435.54020
Gel’man, Boris D.
1
2019
Periodic trajectories and coincidence points of tuples of set-valued maps. Zbl 06951621
Gel’man, B. D.
1
2018
On fixed points of acyclic type multivalued maps. Zbl 1373.37066
Gel’man, Boris D.; Obukhovskii, V. V.
1
2017
On the structure of the set of coincidence points. Zbl 1322.54026
Arutyunov, A. V.; Gel’man, B. D.
9
2015
On condensing perturbations of closed linear surjective operators. Zbl 1296.47057
Gel’man, B. D.; Kalabukhova, S. N.
1
2012
On local solutions of degenerate differential inclusions. Zbl 1276.34052
Gel’man, B. D.
1
2012
Introduction to the theory of multi-valued mappings and differential inclusions. With a preface by Gel’man and Obukhovskiĭ. 2nd revised and enlarged ed. (Введение в теорию многозначных отображений и дифференциальных включений.) Zbl 1231.54001
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskiĭ, V. V.
70
2011
Locally covering maps in metric spaces and coincidence points. Zbl 1182.54050
Arutyunov, Aram; Avakov, Evgeniy; Gel’man, Boris; Dmitruk, Andrei; Obukhovskii, Valeri
51
2009
Multivalued contraction maps and their applications. Zbl 1480.47079
Gel’man, B. D.
5
2009
Minimum of a functional in a metric space and fixed points. Zbl 1224.58024
Arutyunov, A. V.; Gel’man, B. D.
3
2009
On the Cauchy problem for a class of degenerate differential equations with Lipschitz right-hand side. Zbl 1173.47057
Gelman, B. D.
1
2008
Operator equations and Cauchy problem for degenerate differential equations. (Operator equations and Cauchy problem for degeneration differential equations.) Zbl 1474.34405
Gel’man, B. D.
1
2007
Bourgin–Yang-type theorem for \(a\)-compact perturbations of closed operators. I: The case of index theories with dimension property. Zbl 1130.47037
Antonyan, Sergey A.; Balanov, Zalman I.; Gel’man, Boris D.
1
2006
Introduction to the theory of multivalued maps and differential inclusions. (Введение в теорию многозначных отображений и дифференциальных включений.) Zbl 1126.34001
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskiĭ, V. V.
39
2005
Continuous approximations of multivalued mappings and fixed points. Zbl 1079.47057
Gel’man, B. D.
3
2005
An infinite-dimensional version of the Borsuk-Ulam theorem. Zbl 1069.47012
Gel’man, B. D.
2
2004
On approximations of multivalued maps. Zbl 06481521
Gel’man, B. D.; Al-Hahemi, H. R.
1
2003
Borsuk-Ulam theorem in infinite-dimensional Banach spaces. Zbl 1026.47038
Gel’man, B. D.
3
2002
On the topological dimension of the solutions sets for some classes of operator and differential inclusions. Zbl 1041.47031
Bader, Ralf; Gel’man, Boris D.; Kamenskii, Mikhail; Obukhovskii, Valeri
2
2002
On a class of multivalued maps. Zbl 1165.54304
Bader, R.; Gel’man, B. D.; Obukhovskij, V. V.
1
2002
A generalized implicit function theorem. Zbl 0997.49021
Gel’man, B. D.
9
2001
On a class of operator equations. Zbl 1035.47045
Gel’man, B. D.
3
2001
The solution set of BVP for some functional differential inclusions. Zbl 0931.34046
Augustynowicz, A.; Dzedzej, Z.; Gelman, B. D.
9
1998
Topological properties of the set of fixed points of a multivalued map. Zbl 0903.54034
Gel’man, B. D.
9
1997
Dimension of the solution set for differential inclusions. Zbl 0783.34008
Dzedzej, Z.; Gelman, B. D.
2
1993
Generalized degree of multi-valued mappings. Zbl 0784.54021
Gel’man, B. D.
1
1991
On new results in the theory of multi-valued mappings. II: Analysis and applications. Zbl 0756.55001
Gel’man, B. D.; Obukhovskij, V. V.
1
1991
New results in the theory of multivalued mappings. II: Analysis and applications. Zbl 0783.55003
Gel’man, B. D.; Obukhovskij, V. V.
1
1991
New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations. Zbl 0711.55002
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
1
1990
On fixed point theorems of Kakutani type for many-valued mappings. Zbl 0693.54026
Gel’man, B. D.
1
1988
Multivalued analysis and operator inclusions. Zbl 0725.54015
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
9
1987
Introduction to the theory of multi-valued mappings. (Vvedenie v teoriyu mnogoznachnykh otobrazhenij.) Zbl 0683.54001
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
11
1986
Multivalued mappings. Zbl 0529.54013
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
35
1984
On homotopic properties of spaces of subsets. Zbl 0593.55001
Benkafadar, N.; Gel’man, B. D.
1
1983
Set-valued maps. Zbl 0514.54009
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
5
1982
Topological methods in the fixed-point theory of multi-valued maps. Zbl 0464.55003
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
41
1980
The two-point boundary value problem in geometrical mechanics with discontinuous forces. Zbl 0477.70016
Gel’man, B. D.; Gliklikh, Yu. E.
1
1980
On the rotation of multivalued vector fields. Zbl 0193.11003
Borisovich, Yu. G.; Gel’man, B. D.; Mukhamadiev, Eh.; Obukhovskij, V. V.
1
1969
all top 5

Cited by 232 Authors

41 Obukhovskiĭ, Valeriĭ Vladimirovich
33 Arutyunov, Aram Vladimirovic
31 Zhukovskiĭ, Evgeniĭ Semenovich
17 Zhukovskiĭ, Sergeĭ Evgen’evich
16 Gel’man, Boris Danielovich
14 Kornev, Sergeĭ Viktorovich
11 Kamenskiĭ, Mikhaĭl Igor’evich
11 Zecca, Pietro
9 Andres, Jan
9 Yao, Jen-Chih
8 Väth, Martin
7 Nguyen Van Loi
6 Fomenko, Tat’yana Nikolaevna
6 Gliklikh, Yuriĭ Evgen’evich
6 Malaguti, Luisa
6 Petrosyan, Garik Garikovich
6 Zeng, Biao
6 Zvyagin, Viktor Grigor’evich
5 Klimov, Vladimir Stepanovich
4 Durea, Marius
4 Merchela, Wassim
4 Mitrović, Zoran D.
4 Panasenko, Elena Aleksandrovna
4 Strugariu, Radu
4 Zhukovskaya, Tat’yana Vladimirovna
3 Agarwal, Ravi P.
3 Appell, Jürgen
3 Avakov, Evgeniĭ Rachievich
3 Burlakov, Evgenii O.
3 Ioffe, Alexander Davidovich
3 Kozyakin, Viktor Sergeevich
3 Kryszewski, Wojciech
3 Liu, Zhenhai
3 Zabreĭko, Pëtr Petrovich
2 Afanasova, Mariya Sergeevna
2 Ahmad, Bashir
2 Al-saedi, Ahmed Eid Salem
2 Babenko, Vladyslav Fedorovych
2 Benarab, Sarra
2 Bortakovskii, A. S.
2 Castellani, Marco
2 Couchouron, Jean-François
2 Dzedzej, Zdzisław
2 Eisner, Jan
2 Finogenko, Ivan Anatol’evich
2 Frigon, Marlène
2 Gabor, Grzegorz
2 Getmanova, Ekaterina Nikolaevna
2 Giuli, Massimiliano
2 Górniewicz, Lech
2 Izmailov, Alekseĭ F.
2 Khachatryan, Rafik Agasievich
2 Kovalenko, Oleg V.
2 Kožušníková, Martina
2 Kučera, Milan
2 Lin, Yueh-Ju
2 Liou, Yeongcheng
2 Marano, Salvatore Angelo
2 Merchela, Vassim
2 Migórski, Stanisław
2 Nguyêñ Hôǹg Thái
2 Nistri, Paolo
2 Pavlačková, Martina
2 Petrosyan, Garik
2 Pluzhnikova, Elena Aleksandrovna
2 Podoprikhin, Dmitry A.
2 Ponosov, Arkadiĭ Vladimirovich
2 Serova, Irina Dmitrievna
2 Sesekin, Aleksandr Nikolaevich
2 Shahzad, Naseer
2 Smirnov, Sergeĭ Nikolaevich
2 Song, Kyungwoo
2 Valero, José
2 Wen, Chingfeng
2 Yu, Yangyang
2 Yuan, Wei
2 Zheltikova, Olga O.
2 Zvyagin, Andreĭ Viktorovich
1 Adly, Samir
1 Afanasova, Maria
1 Anguiano, María
1 Antonyan, Sergey A.
1 Apetrii, Marius
1 Aranđelović, Ivan D.
1 Averna, Diego
1 Babenko, Viktor V.
1 Babenko, Vira
1 Bader, Ralf
1 Baĭdosov, Vyacheslav Aleksandrovich
1 Balanov, Zalman I.
1 Banakh, Iryna
1 Banakh, Taras Onufrievich
1 Baranovskiĭ, Evgeniĭ Sergeevich
1 Bendouma, Bouharket
1 Benedetti, Irene
1 Bianchi, Monica
1 Bocharov, Vladislav
1 Borisovich, Yuriĭ Grigor’evich
1 Borisovich, Yuri G.
1 Borzov, Nikita Sergeevich
...and 132 more Authors
all top 5

Cited in 91 Serials

21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Differential Equations
13 Set-Valued and Variational Analysis
11 Journal of Mathematical Analysis and Applications
8 Mathematical Notes
8 Journal of Optimization Theory and Applications
8 Topology and its Applications
8 Doklady Mathematics
8 Proceedings of the Steklov Institute of Mathematics
8 Vestnik Rossiĭskikh Universitetov. Matematika
7 Russian Mathematics
7 Journal of Mathematical Sciences (New York)
6 Functional Analysis and its Applications
5 Applicable Analysis
5 Automation and Remote Control
5 Sbornik: Mathematics
5 Fixed Point Theory and Applications
5 Journal of Fixed Point Theory and Applications
4 Applied Mathematics and Computation
4 Journal of Differential Equations
4 Abstract and Applied Analysis
3 Computers & Mathematics with Applications
3 Journal of Applied Mathematics and Mechanics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Siberian Mathematical Journal
3 Optimization
3 Lobachevskii Journal of Mathematics
3 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
3 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
3 Nonlinear Analysis. Theory, Methods & Applications
3 Journal of Nonlinear and Variational Analysis
2 Ukrainian Mathematical Journal
2 Numerical Functional Analysis and Optimization
2 Zeitschrift für Analysis und ihre Anwendungen
2 Journal of Global Optimization
2 Mathematical Programming. Series A. Series B
2 Indagationes Mathematicae. New Series
2 SIAM Journal on Optimization
2 Journal of Computer and Systems Sciences International
2 Calculus of Variations and Partial Differential Equations
2 Journal of Convex Analysis
2 Izvestiya: Mathematics
2 Arab Journal of Mathematical Sciences
2 Differential Equations and Dynamical Systems
2 Matematicheskie Trudy
2 Acta Mathematica Sinica. English Series
2 Nonlinear Analysis. Real World Applications
2 Central European Journal of Mathematics
2 Advances in Difference Equations
2 Chebyshevskiĭ Sbornik
2 Ufimskiĭ Matematicheskiĭ Zhurnal
2 Ural Mathematical Journal
1 Analysis Mathematica
1 Linear and Multilinear Algebra
1 Chaos, Solitons and Fractals
1 Prikladnaya Matematika i Mekhanika
1 Applied Mathematics and Optimization
1 Journal of Approximation Theory
1 Journal of Soviet Mathematics
1 Mathematica Slovaca
1 Proceedings of the American Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti del Seminario Matematico della Università di Padova
1 Transactions of the American Mathematical Society
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 Journal of Integral Equations and Applications
1 International Journal of Adaptive Control and Signal Processing
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 YUJOR. Yugoslav Journal of Operations Research
1 Linear Algebra and its Applications
1 Journal of Dynamics and Differential Equations
1 Set-Valued Analysis
1 Topological Methods in Nonlinear Analysis
1 St. Petersburg Mathematical Journal
1 Mathematical Methods of Operations Research
1 Communications in Nonlinear Science and Numerical Simulation
1 Communications in Contemporary Mathematics
1 Methodology and Computing in Applied Probability
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 Fixed Point Theory
1 Journal of Mathematical Inequalities
1 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
1 Matematicheskaya Teoriya Igr i eë Prilozheniya
1 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet
1 Discontinuity, Nonlinearity, and Complexity
1 Journal of Function Spaces

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