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: Indexed cover-to-cover Documents Indexed: 31,104 Publications (since 1950) References Indexed: 22,501 Publications with 237,535 References. all top 5 Latest Issues 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) 143, No. 12 (2015) 143, No. 11 (2015) 143, No. 10 (2015) 143, No. 9 (2015) 143, No. 8 (2015) 143, No. 7 (2015) 143, No. 6 (2015) 143, No. 5 (2015) 143, No. 4 (2015) 143, No. 3 (2015) 143, No. 2 (2015) 143, No. 1 (2015) 142, No. 12 (2014) ...and 428 more Volumes all top 5 Authors 56 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 Isbell, John Rolfe 24 Rudin, Walter 24 Williams, Kenneth S. 23 Dow, Alan 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 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 Dranishnikov, Alexander Nikolaevich 15 Dwyer, William G. 15 Enochs, Edgar E. 15 Galego, Elói Medina 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 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 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 14 Laczkovich, Miklós ...and 21,675 more Authors all top 5 Fields 3,589 Functional analysis (46-XX) 3,182 Operator theory (47-XX) 2,440 General topology (54-XX) 1,936 Number theory (11-XX) 1,923 Group theory and generalizations (20-XX) 1,739 Manifolds and cell complexes (57-XX) 1,703 Functions of a complex variable (30-XX) 1,672 Partial differential equations (35-XX) 1,593 Differential geometry (53-XX) 1,329 Associative rings and algebras (16-XX) 1,298 Algebraic geometry (14-XX) 1,249 Harmonic analysis on Euclidean spaces (42-XX) 1,182 Mathematical logic and foundations (03-XX) 1,181 Commutative algebra (13-XX) 1,101 Dynamical systems and ergodic theory (37-XX) 1,072 Measure and integration (28-XX) 1,040 Several complex variables and analytic spaces (32-XX) 1,037 Ordinary differential equations (34-XX) 995 Algebraic topology (55-XX) 926 Probability theory and stochastic processes (60-XX) 881 Real functions (26-XX) 868 Combinatorics (05-XX) 849 Global analysis, analysis on manifolds (58-XX) 832 Topological groups, Lie groups (22-XX) 662 Abstract harmonic analysis (43-XX) 534 Convex and discrete geometry (52-XX) 514 Nonassociative rings and algebras (17-XX) 492 Linear and multilinear algebra; matrix theory (15-XX) 484 Special functions (33-XX) 429 Order, lattices, ordered algebraic structures (06-XX) 386 Approximations and expansions (41-XX) 366 Field theory and polynomials (12-XX) 363 Potential theory (31-XX) 343 Category theory; homological algebra (18-XX) 293 Calculus of variations and optimal control; optimization (49-XX) 210 Difference and functional equations (39-XX) 208 Sequences, series, summability (40-XX) 196 Quantum theory (81-XX) 191 Geometry (51-XX) 160 Numerical analysis (65-XX) 159 Integral transforms, operational calculus (44-XX) 155 Integral equations (45-XX) 125 Fluid mechanics (76-XX) 115 \(K\)-theory (19-XX) 100 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 97 Biology and other natural sciences (92-XX) 96 General algebraic systems (08-XX) 88 Statistics (62-XX) 84 Information and communication theory, circuits (94-XX) 76 Computer science (68-XX) 73 Mechanics of particles and systems (70-XX) 63 Operations research, mathematical programming (90-XX) 48 Systems theory; control (93-XX) 40 Statistical mechanics, structure of matter (82-XX) 28 Mechanics of deformable solids (74-XX) 15 Relativity and gravitational theory (83-XX) 14 Optics, electromagnetic theory (78-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 24,387 Publications have been cited 198,874 times in 140,289 Documents Cited by ▼ Year ▼ On the stability of the linear mapping in Banach spaces. Zbl 0398.47040Rassias, Themistocles M. 1,234 1978 A relation between pointwise convergence of functions and convergence of functionals. Zbl 0526.46037Brézis, Haïm; Lieb, Elliott H. 1,134 1983 Mean value methods in iteration. Zbl 0050.11603Mann, W. Robert 1,024 1953 Equivalent norms for Sobolev spaces. Zbl 0186.19101Adams, Robert A. 974 1970 A fixed point theorem in partially ordered sets and some applications to matrix equations. Zbl 1060.47056Ran, André C. M.; Reurings, Martine C. B. 761 2004 Fixed points by a new iteration method. Zbl 0286.47036Ishikawa, Shiro 610 1974 On the shortest spanning subtree of a graph and the traveling salesman problem. Zbl 0070.18404Kruskal, Joseph B. jun. 494 1956 On nonlinear contractions. Zbl 0175.44903Boyd, D. W.; Wong, J. S. W. 479 1969 A fixed point theorem for asymptotically nonexpansive mappings. Zbl 0256.47045Goebel, K.; Kirk, W. A. 461 1972 On majorization, factorization, and range inclusion of operators on Hilbert space. Zbl 0146.12503Douglas, R. G. 406 1966 A generalization of Banach’s contraction principle. Zbl 0291.54056Ćirić, Ljubomir B. 403 1974 Derivations in prime rings. Zbl 0082.03003Posner, Edward C. 386 1958 Positive functions on \(C^*\)-algebras. Zbl 0064.36703Stinespring, W. Forrest 380 1955 The contraction principle for mappings on a metric space with a graph. Zbl 1139.47040Jachymski, Jacek 329 2008 On a singular nonlinear elliptic boundary-value problem. Zbl 0727.35057Lazer, A. C.; McKenna, P. J. 325 1991 A further generalization of the Kakutani fixed point theorem, with application to Nash equilibrium points. Zbl 0046.12103Glicksberg, I. L. 314 1952 On the equation \(div(| \nabla u| ^{p-2}\nabla u)+\lambda | u| ^{p-2}u=0\). Zbl 0714.35029Lindqvist, Peter 307 1990 Integral representation without additivity. Zbl 0687.28008Schmeidler, David 298 1986 Initial value problems in discrete fractional calculus. Zbl 1166.39005Atici, Ferhan M.; Eloe, Paul W. 296 2009 On the existence of positive solutions of ordinary differential equations. Zbl 0802.34018Erbe, L. H.; Wang, Haiyan 280 1994 On contractive mappings. Zbl 0245.54027Geraghty, Michael A. 264 1973 On the asymptoticity aspect of Hyers-Ulam stability of mappings. Zbl 0894.39012Hyers, D. H.; Isac, G.; Rassias, Th. M. 242 1998 Uniformly persistent systems. Zbl 0603.34043Butler, Geoffrey; Freedman, H. I.; Waltman, Paul 239 1986 A generalized Banach contraction principle that characterizes metric completeness. Zbl 1145.54026Suzuki, Tomonari 236 2008 New criteria for univalent functions. Zbl 0303.30006Ruscheweyh, Stephan 236 1975 Approximating fixed points of nonexpansive mappings. Zbl 0299.47032Senter, H. F.; Dotson, W. G. jun. 229 1974 Soliton solutions for quasilinear Schrödinger equations. I. Zbl 1229.35269Liu, Jiaquan; Wang, Zhi-Qiang 226 2003 An embedding theorem for spaces of convex sets. Zbl 0046.33304Rådström, Hans 218 1952 On the product of semi-groups of operators. Zbl 0099.10401Trotter, H. F. 216 1959 GPIs having coefficients in Utumi quotient rings. Zbl 0656.16006Chuang, Chen-Lian 212 1988 Uniqueness theorems for periodic functions. Zbl 0131.30203Fine, N. J.; Wilf, H. S. 206 1965 On a coefficient problem for bi-univalent functions. Zbl 0158.07802Lewin, Mordechai 206 1967 Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces. Zbl 0888.47034Shioji, Naoki; Takahashi, Wataru 205 1997 Uniqueness of travelling waves for nonlocal monostable equations. Zbl 1061.45003Carr, Jack; Chmaj, Adam 201 2004 A coefficient inequality for certain classes of analytic functions. Zbl 0165.09102Keogh, F. R.; Merkes, E. P. 201 1969 Projections on invariant subspaces. Zbl 0105.09504Rudin, Walter 199 1962 The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities. Zbl 0066.37402Anderson, T. W. 187 1955 On a new class of abstract impulsive differential equations. Zbl 1266.34101Hernández, Eduardo; O’Regan, Donal 187 2013 A graph-theoretic approach to the method of global Lyapunov functions. Zbl 1155.34028Guo, Hongbin; Li, Michael Y.; Shuai, Zhisheng 183 2008 Univalent functions with negative coefficients. Zbl 0311.30007Silverman, Herb 181 1975 Trudinger type inequalities in \(\mathbb{R}^N\) and their best exponents. Zbl 0980.46020Adachi, Shinji; Tanaka, Kazunaga 178 2000 A remark on least energy solutions in \(\mathbb R^N\). Zbl 1094.35049Jeanjean, Louis; Tanaka, Kazunaga 176 2003 The Lindeberg-Levy theorem for martingales. Zbl 0129.10701Billingsley, P. 174 1961 Remarks on some fixed point theorems. Zbl 0346.47046Lim, Teck-Cheong 172 1977 The adjoint of a bilinear operation. Zbl 0044.32601Arens, Richard 169 1951 Fixed points and iteration of a nonexpansive mapping in a Banach space. Zbl 0352.47024Ishikawa, Shiro 165 1976 On the Betti numbers of real varieties. Zbl 0123.38302Milnor, John W. 165 1964 Uniformly convex functions and a corresponding class of starlike functions. Zbl 0805.30012Rønning, Frode 164 1993 Lineability and spaceability of sets of functions on \(\mathbb{R} \). Zbl 1069.26006Aron, Richard; Gurariy, V. I.; Seoane, J. B. 163 2005 Schrödinger equations: Pointwise convergence to the initial data. Zbl 0654.42014Vega, Luis 163 1988 On the behavior of mappings which do not satisfy Hyers-Ulam stability. Zbl 0761.47004Rassias, Themistocles M.; Šemrl, Peter 162 1992 Jordan derivations of prime rings. Zbl 0216.07202Herstein, I. N. 161 1958 Some classes of regular univalent functions. Zbl 0158.07702Libera, R. J. 159 1965 On certain contraction mappings in a partially ordered vector space. Zbl 0147.34903Thompson, A. C. 151 1963 Fixed point theorems in ordered abstract spaces. Zbl 1126.47045Nieto, Juan J.; Pouso, Rodrigo L.; Rodríguez-López, Rosana 148 2007 Some simple examples of symplectic manifolds. Zbl 0324.53031Thurston, W. P. 148 1976 On periodic solutions of nonlinear differential equations with singularities. Zbl 0616.34033Lazer, A. C.; Solimini, S. 146 1987 On certain convolution inequalities. Zbl 0283.26003Hedberg, Lars Inge 143 1973 On the subdifferentiability of convex functions. Zbl 0141.11801Brøndsted, Arne; Rockafellar, R. T. 141 1965 A Hausdorff topology for the closed subsets of a locally compact non- Hausdorff space. Zbl 0106.15801Fell, J. M. G. 140 1962 On an elliptic equation with concave and convex nonlinearities. Zbl 0848.35039Bartsch, Thomas; Willem, Michel 139 1995 An example on the Mann iteration method for Lipschitz pseudocontractions. Zbl 0972.47062Chidume, C. E.; Mutangadura, S. A. 138 2001 Separation properties for self-similar sets. Zbl 0807.28005Schief, Andreas 135 1994 Another characterization of BMO. Zbl 0432.42016Coifman, R. R.; Rochberg, R. 134 1980 Fixed point iteration for local strictly pseudo-contractive mapping. Zbl 0734.47042Weng, Xinlong 132 1991 Minimal identities for algebras. Zbl 0040.01101Amitsur, A. S.; Levitzki, J. 132 1950 An improved Hardy-Sobolev inequality and its application. Zbl 0987.35049Adimurthi; Chaudhuri, Nirmalendu; Ramaswamy, Mythily 131 2002 Sums of distinct divisors and sums of distinct units. Zbl 0117.03301Jacobson, B. 131 1964 Statistical limit points. Zbl 0776.40001Fridy, J. A. 129 1993 On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent. Zbl 1146.35067Mihăilescu, Mihai; Rădulescu, Vicentiu 126 2007 Strongly continuous semigroups, weak solutions, and the variation of constants formula. Zbl 0353.47017Ball, J. M. 124 1977 On the nonautonomous Volterra-Lotka competition equations. Zbl 0848.34033Ahmad, Shair 123 1993 Extension of \(C^ \infty\) functions defined in a half space. Zbl 0127.28403Seeley, R. 121 1964 The value-semigroup of a one-dimensional Gorenstein ring. Zbl 0197.31401Kunz, Ernst 119 1970 Periodic solutions for nonautonomous second order systems with sublinear nonlinearity. Zbl 0902.34036Tang, Chun-Lei 119 1998 CR submanifolds of a Kaehler manifold. I. Zbl 0368.53040Bejancu, Aurel 118 1978 The stability of the cosine equation. Zbl 0448.39003Baker, John A. 118 1980 Early coefficients of the inverse of a regular convex function. Zbl 0464.30019Libera, Richard J.; Złotkiewicz, Eligiusz J. 118 1982 A fixed point free nonexpansive map. Zbl 0468.47036Alspach, Dale E. 118 1981 Statistical limit superior and limit inferior. Zbl 0883.40003Fridy, J. A.; Orhan, C. 117 1997 A note on contractive mappings. Zbl 0105.35202Rakotch, E. 116 1962 Diffeomorphisms of the 2-sphere. Zbl 0118.39103Smale, S. 116 1959 Universal vectors for operators on spaces of holomorphic functions. Zbl 0618.30031Gethner, Robert M; Shapiro, Joel H. 116 1987 Local automorphisms and derivations on \({\mathcal{B}}(H)\). Zbl 0887.47030Šemrl, Peter 114 1997 Rectifiable metric spaces: Local structure and regularity of the Hausdorff measure. Zbl 0806.28004Kirchheim, Bernd 113 1994 An extension of Banach’s contraction principle. Zbl 0096.17101Edelstein, Michael 113 1961 Quasilinear elliptic equations via perturbation method. Zbl 1267.35096Liu, Xiang-Qing; Liu, Jia-Quan; Wang, Zhi-Qiang 113 2013 Fixed point iteration processes for asymptotically nonexpansive mappings. Zbl 0820.47071Tan, Kok-Keong; Xu, Hong-Kun 112 1994 The stability of the equation f(x+y)=f(x)f(y). Zbl 0397.39010Baker, John; Lawrence, J.; Zorzitto, F. 111 1979 Bohr’s power series theorem in several variables. Zbl 0888.32001Boas, Harold P.; Khavinson, Dmitry 111 1997 Coefficient bounds for the inverse of a function with derivative in P. Zbl 0488.30010Libera, Richard J.; Złotkiewicz, Eligiusz J. 109 1983 When are multiplicative mappings additive. Zbl 0175.02902Martindale, Wallace S. III 108 1969 Existence results for superlinear semipositone BVP’s. Zbl 0857.34032Anuradha, V.; Hai, D. D.; Shivaji, R. 108 1996 Partial actions of groups and actions of inverse semigroups. Zbl 0910.46041Exel, Ruy 108 1998 On a class of fixed-point-free graphs. Zbl 0091.37701Sabidussi, Gert 106 1958 Fixed point theorems in ordered \(L\)-spaces. Zbl 1086.47026Petruşel, Adrian; Rus, Ioan A. 104 2006 A remark on linear elliptic differential equations of second order. Zbl 0048.07802Hopf, Eberhard 104 1952 Multiple symmetric positive solutions for a second order boundary value problem. Zbl 0949.34016Henderson, Johnny; Thompson, H. B. 103 2000 The existence of positive solutions for the one-dimensional \(p\)-Laplacian. Zbl 0884.34032Wang, Junyu 103 1997 Every monotone graph property has a sharp threshold. Zbl 0864.05078Friedgut, Ehud; Kalai, Gil 103 1996 Ramsey theory over partitions. III: Strongly Luzin sets and partition relations. 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