Proceedings of the American Mathematical Society Short Title: Proc. Am. Math. Soc. Publisher: American Mathematical Society (AMS), Providence, RI ISSN: 0002-9939; 1088-6826/e Online: https://www.ams.org/journals/proc/all_issues.html Comments: Journal; Indexed cover-to-cover Documents Indexed: 31,585 Publications (since 1950) References Indexed: 22,982 Publications with 247,183 References. all top 5 Latest Issues 152, No. 4 (2024) 152, No. 3 (2024) 152, No. 2 (2024) 152, No. 1 (2024) 151, No. 12 (2023) 151, No. 11 (2023) 151, No. 10 (2023) 151, No. 9 (2023) 151, No. 8 (2023) 151, No. 7 (2023) 151, No. 6 (2023) 151, No. 5 (2023) 151, No. 4 (2023) 151, No. 3 (2023) 151, No. 2 (2023) 151, No. 1 (2023) 150, No. 12 (2022) 150, No. 11 (2022) 150, No. 10 (2022) 150, No. 9 (2022) 150, No. 8 (2022) 150, No. 7 (2022) 150, No. 6 (2022) 150, No. 5 (2022) 150, No. 4 (2022) 150, No. 3 (2022) 150, No. 2 (2022) 150, No. 1 (2022) 149, No. 12 (2021) 149, No. 11 (2021) 149, No. 10 (2021) 149, No. 9 (2021) 149, No. 8 (2021) 149, No. 7 (2021) 149, No. 6 (2021) 149, No. 5 (2021) 149, No. 4 (2021) 149, No. 3 (2021) 149, No. 2 (2021) 149, No. 1 (2021) 148, No. 12 (2020) 148, No. 11 (2020) 148, No. 10 (2020) 148, No. 9 (2020) 148, No. 8 (2020) 148, No. 7 (2020) 148, No. 6 (2020) 148, No. 5 (2020) 148, No. 4 (2020) 148, No. 3 (2020) 148, No. 2 (2020) 148, No. 1 (2020) 147, No. 12 (2019) 147, No. 11 (2019) 147, No. 10 (2019) 147, No. 9 (2019) 147, No. 8 (2019) 147, No. 7 (2019) 147, No. 6 (2019) 147, No. 5 (2019) 147, No. 4 (2019) 147, No. 3 (2019) 147, No. 2 (2019) 147, No. 1 (2019) 146, No. 12 (2018) 146, No. 11 (2018) 146, No. 10 (2018) 146, No. 9 (2018) 146, No. 8 (2018) 146, No. 7 (2018) 146, No. 6 (2018) 146, No. 5 (2018) 146, No. 4 (2018) 146, No. 3 (2018) 146, No. 2 (2018) 146, No. 1 (2018) 145, No. 12 (2017) 145, No. 11 (2017) 145, No. 10 (2017) 145, No. 9 (2017) 145, No. 8 (2017) 145, No. 7 (2017) 145, No. 6 (2017) 145, No. 5 (2017) 145, No. 4 (2017) 145, No. 3 (2017) 145, No. 2 (2017) 145, No. 1 (2017) 144, No. 12 (2016) 144, No. 11 (2016) 144, No. 10 (2016) 144, No. 9 (2016) 144, No. 8 (2016) 144, No. 7 (2016) 144, No. 6 (2016) 144, No. 5 (2016) 144, No. 4 (2016) 144, No. 3 (2016) 144, No. 2 (2016) 144, No. 1 (2016) ...and 441 more Volumes all top 5 Authors 57 Shelah, Saharon 50 Carlitz, Leonard 44 van Mill, Jan 31 Newman, Donald J. 31 Passman, Donald Steven 29 Heinzer, William J. 26 Hill, Paul D. 25 Goffman, Casper 25 Shparlinski, Igor E. 24 Abhyankar, Shreeram Shankar 24 Dow, Alan S. 24 Isbell, John Rolfe 24 Rudin, Walter 24 Williams, Kenneth S. 23 O’Regan, Donal 22 Ismail, Mourad El-Houssieny 22 Nathanson, Melvyn Bernard 21 Harte, Robin E. 21 Isaacs, I. Martin 21 Michael, Ernest A. 20 Borwein, Jonathan Michael 20 Goodman, Adolph-W. 20 Goto, Shiro 20 Jenkins, James Allister 20 Newman, Morris 20 Oberlin, Daniel M. 20 Papageorgiou, Nikolaos S. 20 Simon, Barry 20 Stong, Robert E. 19 Chen, Bang-Yen 19 Erdős, Pál 19 Gilmer, Robert W. jun. 19 Kreith, Kurt 19 Repovš, Dušan D. 18 Ballico, Edoardo 18 Borwein, Peter Benjamin 18 Darst, Richard B. 18 Đoković, Dragomir Ž. 18 Faith, Carl C. 18 Grätzer, George 18 Herrero, Domingo Antonio 18 Navarro, Gabriel 18 Radjavi, Heydar 18 Rosenthal, Peter 18 Rubel, Lee Albert 17 Beer, Gerald Alan 17 Daverman, Robert J. 17 Dydak, Jerzy 17 Johnson, William Buhmann 17 Lau, Anthony To-Ming 17 Llibre, Jaume 17 Mahowald, Mark Edward 17 Murty, Maruti Ram 17 Shen, Lichien 16 Breen, Marilyn 16 Eremenko, Alexandre Émmanuilovich 16 Furuta, Takayuki 16 Galego, Elói Medina 16 Gardiner, Stephen J. 16 Guralnick, Robert Michael 16 Hagopian, Charles L. 16 Longstaff, William Ellison 16 Molnár, Lajos 16 Rahman, Qazi Ibadur 16 Schenkman, Eugene 16 Šemrl, Peter 16 Trent, Tavan T. 16 Tymchatyn, Edward D. 15 Cima, Joseph A. 15 Deveney, James Kevin 15 Ditzian, Zeev 15 Dwyer, William G. 15 Enochs, Edgar E. 15 Gruenhage, Gary F. 15 Han, Deguang 15 Huneke, Craig L. 15 Kaufman, Robert P. 15 Livingston, Charles 15 Lubinsky, Doron S. 15 Magid, Andy Roy 15 Móricz, Ferenc 15 Paulsen, Vern Ival 15 Smith, Larry 15 Sukochev, Fedor Anatol’evich 15 Trench, William F. 15 Walsh, Joseph Leonard 15 Wong, James S. W. 15 Wu, Ta-Sun 15 Young, Robert M. 14 Barnes, Bruce A. 14 Brešar, Matej 14 Chidume, Charles Ejike 14 Comfort, William Wistar 14 Curto, Raúl Enrique 14 Fleissner, William G. 14 Hadwin, Donald W. 14 Hibi, Takayuki 14 Izzo, Alexander John 14 Janos, Ludvik 14 Kirk, William Arthur ...and 22,241 more Authors all top 5 Fields 3,649 Functional analysis (46-XX) 3,238 Operator theory (47-XX) 2,458 General topology (54-XX) 2,009 Number theory (11-XX) 1,958 Group theory and generalizations (20-XX) 1,770 Manifolds and cell complexes (57-XX) 1,741 Partial differential equations (35-XX) 1,735 Functions of a complex variable (30-XX) 1,646 Differential geometry (53-XX) 1,355 Associative rings and algebras (16-XX) 1,329 Algebraic geometry (14-XX) 1,268 Harmonic analysis on Euclidean spaces (42-XX) 1,206 Commutative algebra (13-XX) 1,198 Mathematical logic and foundations (03-XX) 1,142 Dynamical systems and ergodic theory (37-XX) 1,086 Measure and integration (28-XX) 1,068 Several complex variables and analytic spaces (32-XX) 1,053 Ordinary differential equations (34-XX) 1,017 Algebraic topology (55-XX) 947 Probability theory and stochastic processes (60-XX) 903 Real functions (26-XX) 899 Combinatorics (05-XX) 868 Global analysis, analysis on manifolds (58-XX) 844 Topological groups, Lie groups (22-XX) 672 Abstract harmonic analysis (43-XX) 552 Convex and discrete geometry (52-XX) 522 Nonassociative rings and algebras (17-XX) 505 Special functions (33-XX) 502 Linear and multilinear algebra; matrix theory (15-XX) 430 Order, lattices, ordered algebraic structures (06-XX) 397 Approximations and expansions (41-XX) 373 Field theory and polynomials (12-XX) 370 Potential theory (31-XX) 362 Category theory; homological algebra (18-XX) 299 Calculus of variations and optimal control; optimization (49-XX) 218 Difference and functional equations (39-XX) 211 Sequences, series, summability (40-XX) 199 Quantum theory (81-XX) 198 Geometry (51-XX) 164 Numerical analysis (65-XX) 161 Integral transforms, operational calculus (44-XX) 157 Integral equations (45-XX) 130 Fluid mechanics (76-XX) 119 \(K\)-theory (19-XX) 108 Biology and other natural sciences (92-XX) 102 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 97 General algebraic systems (08-XX) 88 Statistics (62-XX) 87 Information and communication theory, circuits (94-XX) 78 Computer science (68-XX) 77 Mechanics of particles and systems (70-XX) 64 Operations research, mathematical programming (90-XX) 48 Systems theory; control (93-XX) 41 Statistical mechanics, structure of matter (82-XX) 28 Mechanics of deformable solids (74-XX) 16 Optics, electromagnetic theory (78-XX) 15 Relativity and gravitational theory (83-XX) 9 Classical thermodynamics, heat transfer (80-XX) 7 Geophysics (86-XX) 4 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25,169 Publications have been cited 218,773 times in 154,587 Documents Cited by ▼ Year ▼ On the stability of the linear mapping in Banach spaces. Zbl 0398.47040 Rassias, Themistocles M. 1,376 1978 A relation between pointwise convergence of functions and convergence of functionals. Zbl 0526.46037 Brézis, Haïm; Lieb, Elliott H. 1,341 1983 Mean value methods in iteration. Zbl 0050.11603 Mann, W. Robert 1,129 1953 Equivalent norms for Sobolev spaces. Zbl 0186.19101 Adams, Robert A. 975 1970 A fixed point theorem in partially ordered sets and some applications to matrix equations. Zbl 1060.47056 Ran, André C. M.; Reurings, Martine C. B. 812 2004 Fixed points by a new iteration method. Zbl 0286.47036 Ishikawa, Shiro 674 1974 On the shortest spanning subtree of a graph and the traveling salesman problem. Zbl 0070.18404 Kruskal, Joseph B. jun. 545 1956 On nonlinear contractions. Zbl 0175.44903 Boyd, D. W.; Wong, J. S. W. 539 1969 On majorization, factorization, and range inclusion of operators on Hilbert space. Zbl 0146.12503 Douglas, R. G. 501 1966 A fixed point theorem for asymptotically nonexpansive mappings. Zbl 0256.47045 Goebel, K.; Kirk, W. A. 486 1972 A generalization of Banach’s contraction principle. Zbl 0291.54056 Ćirić, Ljubomir B. 469 1974 Derivations in prime rings. Zbl 0082.03003 Posner, Edward C. 457 1958 Positive functions on \(C^*\)-algebras. Zbl 0064.36703 Stinespring, W. Forrest 433 1955 On a singular nonlinear elliptic boundary-value problem. Zbl 0727.35057 Lazer, A. C.; McKenna, P. J. 377 1991 The contraction principle for mappings on a metric space with a graph. Zbl 1139.47040 Jachymski, Jacek 358 2008 On the equation \(div(| \nabla u| ^{p-2}\nabla u)+\lambda | u| ^{p-2}u=0\). Zbl 0714.35029 Lindqvist, Peter 349 1990 A further generalization of the Kakutani fixed point theorem, with application to Nash equilibrium points. Zbl 0046.12103 Glicksberg, I. L. 342 1952 Integral representation without additivity. Zbl 0687.28008 Schmeidler, David 330 1986 Initial value problems in discrete fractional calculus. Zbl 1166.39005 Atici, Ferhan M.; Eloe, Paul W. 327 2009 On contractive mappings. Zbl 0245.54027 Geraghty, Michael A. 301 1973 On the existence of positive solutions of ordinary differential equations. Zbl 0802.34018 Erbe, L. H.; Wang, Haiyan 288 1994 Soliton solutions for quasilinear Schrödinger equations. I. Zbl 1229.35269 Liu, Jiaquan; Wang, Zhi-Qiang 264 2003 On the asymptoticity aspect of Hyers-Ulam stability of mappings. Zbl 0894.39012 Hyers, D. H.; Isac, G.; Rassias, Th. M. 261 1998 Approximating fixed points of nonexpansive mappings. Zbl 0299.47032 Senter, H. F.; Dotson, W. G. jun. 260 1974 New criteria for univalent functions. Zbl 0303.30006 Ruscheweyh, Stephan 254 1975 Uniformly persistent systems. Zbl 0603.34043 Butler, Geoffrey; Freedman, H. I.; Waltman, Paul 253 1986 On the product of semi-groups of operators. Zbl 0099.10401 Trotter, H. F. 252 1959 A generalized Banach contraction principle that characterizes metric completeness. Zbl 1145.54026 Suzuki, Tomonari 251 2008 On a new class of abstract impulsive differential equations. Zbl 1266.34101 Hernández, Eduardo; O’Regan, Donal 250 2013 An embedding theorem for spaces of convex sets. Zbl 0046.33304 Rådström, Hans 244 1952 GPIs having coefficients in Utumi quotient rings. Zbl 0656.16006 Chuang, Chen-Lian 243 1988 Uniqueness theorems for periodic functions. Zbl 0131.30203 Fine, N. J.; Wilf, H. S. 234 1965 A coefficient inequality for certain classes of analytic functions. Zbl 0165.09102 Keogh, F. R.; Merkes, E. P. 227 1969 On a coefficient problem for bi-univalent functions. Zbl 0158.07802 Lewin, Mordechai 226 1967 Uniqueness of travelling waves for nonlocal monostable equations. Zbl 1061.45003 Carr, Jack; Chmaj, Adam 217 2004 Trudinger type inequalities in \(\mathbb{R}^N\) and their best exponents. Zbl 0980.46020 Adachi, Shinji; Tanaka, Kazunaga 210 2000 Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces. Zbl 0888.47034 Shioji, Naoki; Takahashi, Wataru 206 1997 A graph-theoretic approach to the method of global Lyapunov functions. Zbl 1155.34028 Guo, Hongbin; Li, Michael Y.; Shuai, Zhisheng 205 2008 A remark on least energy solutions in \(\mathbb R^N\). Zbl 1094.35049 Jeanjean, Louis; Tanaka, Kazunaga 203 2003 Projections on invariant subspaces. Zbl 0105.09504 Rudin, Walter 201 1962 The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities. Zbl 0066.37402 Anderson, T. W. 198 1955 Univalent functions with negative coefficients. Zbl 0311.30007 Silverman, Herb 197 1975 The Lindeberg-Levy theorem for martingales. Zbl 0129.10701 Billingsley, P. 194 1961 Remarks on some fixed point theorems. Zbl 0346.47046 Lim, Teck-Cheong 194 1977 Jordan derivations of prime rings. Zbl 0216.07202 Herstein, I. N. 191 1958 Uniformly convex functions and a corresponding class of starlike functions. Zbl 0805.30012 Rønning, Frode 189 1993 Lineability and spaceability of sets of functions on \(\mathbb{R} \). Zbl 1069.26006 Aron, Richard; Gurariy, V. I.; Seoane, J. B. 185 2005 Schrödinger equations: Pointwise convergence to the initial data. Zbl 0654.42014 Vega, Luis 182 1988 On the Betti numbers of real varieties. Zbl 0123.38302 Milnor, John W. 178 1964 On the behavior of mappings which do not satisfy Hyers-Ulam stability. Zbl 0761.47004 Rassias, Themistocles M.; Šemrl, Peter 177 1992 The adjoint of a bilinear operation. Zbl 0044.32601 Arens, Richard 177 1951 Fixed points and iteration of a nonexpansive mapping in a Banach space. Zbl 0352.47024 Ishikawa, Shiro 175 1976 Some classes of regular univalent functions. Zbl 0158.07702 Libera, R. J. 170 1965 On certain convolution inequalities. Zbl 0283.26003 Hedberg, Lars Inge 167 1973 On certain contraction mappings in a partially ordered vector space. Zbl 0147.34903 Thompson, A. C. 164 1963 On an elliptic equation with concave and convex nonlinearities. Zbl 0848.35039 Bartsch, Thomas; Willem, Michel 160 1995 Some simple examples of symplectic manifolds. Zbl 0324.53031 Thurston, W. P. 160 1976 Fixed point theorems in ordered abstract spaces. Zbl 1126.47045 Nieto, Juan J.; Pouso, Rodrigo L.; Rodríguez-López, Rosana 153 2007 A Hausdorff topology for the closed subsets of a locally compact non- Hausdorff space. Zbl 0106.15801 Fell, J. M. G. 153 1962 On periodic solutions of nonlinear differential equations with singularities. Zbl 0616.34033 Lazer, A. C.; Solimini, S. 153 1987 On the subdifferentiability of convex functions. Zbl 0141.11801 Brøndsted, Arne; Rockafellar, R. T. 150 1965 Fixed point iteration for local strictly pseudo-contractive mapping. Zbl 0734.47042 Weng, Xinlong 148 1991 Statistical limit points. Zbl 0776.40001 Fridy, J. A. 146 1993 Separation properties for self-similar sets. Zbl 0807.28005 Schief, Andreas 146 1994 Coefficient bounds for the inverse of a function with derivative in P. Zbl 0488.30010 Libera, Richard J.; Złotkiewicz, Eligiusz J. 145 1983 Minimal identities for algebras. Zbl 0040.01101 Amitsur, A. S.; Levitzki, J. 145 1950 An improved Hardy-Sobolev inequality and its application. Zbl 0987.35049 Adimurthi; Chaudhuri, Nirmalendu; Ramaswamy, Mythily 144 2002 Early coefficients of the inverse of a regular convex function. Zbl 0464.30019 Libera, Richard J.; Złotkiewicz, Eligiusz J. 144 1982 Another characterization of BMO. Zbl 0432.42016 Coifman, R. R.; Rochberg, R. 143 1980 A note on contractive mappings. Zbl 0105.35202 Rakotch, E. 140 1962 An example on the Mann iteration method for Lipschitz pseudocontractions. Zbl 0972.47062 Chidume, C. E.; Mutangadura, S. A. 139 2001 Strongly continuous semigroups, weak solutions, and the variation of constants formula. Zbl 0353.47017 Ball, J. M. 138 1977 On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent. Zbl 1146.35067 Mihăilescu, Mihai; Rădulescu, Vicentiu 136 2007 Local automorphisms and derivations on \({\mathcal{B}}(H)\). Zbl 0887.47030 Šemrl, Peter 136 1997 Extension of \(C^ \infty\) functions defined in a half space. Zbl 0127.28403 Seeley, R. 135 1964 Quasilinear elliptic equations via perturbation method. Zbl 1267.35096 Liu, Xiang-Qing; Liu, Jia-Quan; Wang, Zhi-Qiang 135 2013 Statistical limit superior and limit inferior. Zbl 0883.40003 Fridy, J. A.; Orhan, C. 134 1997 Diffeomorphisms of the 2-sphere. Zbl 0118.39103 Smale, S. 133 1959 Bohr’s power series theorem in several variables. Zbl 0888.32001 Boas, Harold P.; Khavinson, Dmitry 133 1997 Rectifiable metric spaces: Local structure and regularity of the Hausdorff measure. Zbl 0806.28004 Kirchheim, Bernd 132 1994 On the nonautonomous Volterra-Lotka competition equations. Zbl 0848.34033 Ahmad, Shair 127 1993 CR submanifolds of a Kaehler manifold. I. Zbl 0368.53040 Bejancu, Aurel 127 1978 When are multiplicative mappings additive. Zbl 0175.02902 Martindale, Wallace S. III 125 1969 An extension of Banach’s contraction principle. Zbl 0096.17101 Edelstein, Michael 124 1961 Universal vectors for operators on spaces of holomorphic functions. Zbl 0618.30031 Gethner, Robert M; Shapiro, Joel H. 124 1987 The stability of the cosine equation. Zbl 0448.39003 Baker, John A. 124 1980 The value-semigroup of a one-dimensional Gorenstein ring. Zbl 0197.31401 Kunz, Ernst 124 1970 Linear automaton transformations. Zbl 0089.33403 Nerode, A. 123 1958 Periodic solutions for nonautonomous second order systems with sublinear nonlinearity. Zbl 0902.34036 Tang, Chun-Lei 121 1998 A fixed point free nonexpansive map. Zbl 0468.47036 Alspach, Dale E. 121 1981 The nonlinear differential equation \(y''+p(x)y+cy_3=0\). Zbl 0038.24303 Pinney, Edmund 121 1950 Pitt’s inequality and the uncertainty principle. Zbl 0842.58077 Beckner, William 119 1995 On a class of fixed-point-free graphs. Zbl 0091.37701 Sabidussi, Gert 116 1958 Fixed point iteration processes for asymptotically nonexpansive mappings. Zbl 0820.47071 Tan, Kok-Keong; Xu, Hong-Kun 116 1994 Every monotone graph property has a sharp threshold. Zbl 0864.05078 Friedgut, Ehud; Kalai, Gil 116 1996 The stability of the equation f(x+y)=f(x)f(y). Zbl 0397.39010 Baker, John; Lawrence, J.; Zorzitto, F. 116 1979 Partial actions of groups and actions of inverse semigroups. Zbl 0910.46041 Exel, Ruy 115 1998 Jordan derivations on semiprime rings. Zbl 0691.16039 Brešar, M. 115 1988 Existence results for superlinear semipositone BVP’s. Zbl 0857.34032 Anuradha, V.; Hai, D. D.; Shivaji, R. 114 1996 The Kronecker product of graphs. Zbl 0102.38801 Weichsel, Paul M. 113 1962 Algebraic matroids are almost entropic. 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W. 61 Kittaneh, Fuad 60 Dhara, Basudeb 60 Kadelburg, Zoran 60 Li, Songxiao 60 Ravichandran, Vaithiyanathan 60 Saadati, Reza ...and 88,311 more Authors all top 5 Cited in 1,395 Journals 8,444 Proceedings of the American Mathematical Society 7,003 Journal of Mathematical Analysis and Applications 4,241 Transactions of the American Mathematical Society 3,993 Journal of Algebra 3,237 Topology and its Applications 2,583 Journal of Functional Analysis 2,184 Linear Algebra and its Applications 2,139 Nonlinear Analysis. Theory, Methods & Applications. 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