Most cited papers in Functional Equations Stability Results
What are the most cited papers in Functional Equations Stability Results?
The most cited paper in Functional Equations Stability Results is "On the stability of the linear mapping in Banach spaces" (Themistocles M. Rassias, 1978), with 2,860 citations. Next come "A Course in Functional Analysis." (2,360) and "Mean value methods in iteration" (2,327).
Showing 50 of 99 papers. Every paper with more than 252 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | On the stability of the linear mapping in Banach spaces Themistocles M. Rassias · Proceedings of the American Mathematical Society | Nov 1978 | 2,860 |
| 2 | A Course in Functional Analysis. Theodore W. Gamelin, John B. Conway · American Mathematical Monthly | Nov 1986 | 2,360 |
| 3 | Mean value methods in iteration W. Robert Mann · Proceedings of the American Mathematical Society | Jun 1953 | 2,327 |
| 4 | Fuzzy random variables MADAN LAL PURI, Dan A. Ralescu · Journal of Mathematical Analysis and Applications | Mar 1986 | 1,872 |
| 5 | Fuzzy differential equations Osmo Kaleva · Fuzzy Sets and Systems | Dec 1987 | 1,718 |
| 6 | On the Stability of the linear Transformation in Banach Spaces. Tosio Aoki · Journal of the Mathematical Society of Japan | Sep 1950 | 1,560 |
| 7 | Vector-valued laplace transforms and cauchy problems Wolfgang Arendt · Israel Journal of Mathematics | Oct 1987 | 1,437 |
| 8 | Integrals of set-valued functions Robert J. Aumann · Journal of Mathematical Analysis and Applications | Aug 1965 | 1,318 |
| 9 | Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations Barnabás Bede, Sorin Gheorghe Gal · Fuzzy Sets and Systems | 14 Sep 2004 | 1,042 |
| 10 | Function theory in polydiscs Walter Rudin · History of mathematics | Oct 1996 | 966 |
| 11 | Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities Mehmet Zeki Sarıkaya, Erhan Set, Hatice Yaldız et al. · Mathematical and Computer Modelling | 6 Jan 2012 | 936 |
| 12 | The Equivalence of Two Extremum Problems J. Kiefer, Jacob Wolfowitz · Canadian Journal of Mathematics | 1960 | 893 |
| 13 | On the fuzzy initial value problem Seppo Seikkala · Fuzzy Sets and Systems | Dec 1987 | 888 |
| 14 | On stability of additive mappings Zbigniew Gajda · International Journal of Mathematics and Mathematical Sciences | 1991 | 859 |
| 15 | Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula Sever S Dragomir, Ravi P. Agarwal · Applied Mathematics Letters | Sep 1998 | 849 |
| 16 | One-parameter semigroups E. B. Davies · Cambridge University Press eBooks | 26 Apr 2007 | 724 |
| 17 | The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems Jérôme Bolte, Aris Daniilidis, Adrian S. Lewis · SIAM Journal on Optimization | 2007 | 718 |
| 18 | Integrals, conditional expectations, and martingales of multivalued functions Fumio Hiai, Hisaharu Umegaki · Journal of Multivariate Analysis | Mar 1977 | 714 |
| 19 | Semianalytic and subanalytic sets Edward Bierstone, Pierre D. Milman · Publications mathématiques de l IHÉS | 7 Jan 1988 | 702 |
| 20 | Generalized Hukuhara differentiability of interval-valued functions and interval differential equations Luciano Stefanini, Barnabás Bede · Nonlinear Analysis | 9 Dec 2008 | 695 |
| 21 | A single-parameter generalization of the Gini indices of inequality David J. Donaldson, John A. Weymark · Journal of Economic Theory | Feb 1980 | 632 |
| 22 | On the stability of the quadratic mapping in normed spaces St. Czerwik · Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg | Dec 1992 | 631 |
| 23 | General Irreducible Markov Chains and Non-Negative Operators. M. Bhaskara Rao, Esa Nummelin · Journal of the Royal Statistical Society Series A (General) | 1985 | 613 |
| 24 | Monotone metrics on matrix spaces Dėnes Petz · Linear Algebra and its Applications | Sep 1996 | 611 |
| 25 | Remarks on the stability of functional equations Piotr W. Cholewa · Aequationes Mathematicae | Mar 1984 | 592 |
| 26 | Exchangeable and partially exchangeable random partitions Jim Pitman · Probability Theory and Related Fields | Jun 1995 | 587 |
| 27 | On the Stability of Functional Equations and a Problem of Ulam Themistocles M. Rassias · Acta Applicandae Mathematicae | May 2000 | 586 |
| 28 | Exponential dichotomies and transversal homoclinic points Kenneth J. Palmer · Journal of Differential Equations | Nov 1984 | 577 |
| 29 | On approximation of approximately linear mappings by linear mappings John Michael Rassias · Journal of Functional Analysis | Mar 1982 | 575 |
| 30 | Ishikawa and Mann Iterative Process with Errors for Nonlinear Strongly Accretive Mappings in Banach Spaces Lishan Liu · Journal of Mathematical Analysis and Applications | Aug 1995 | 545 |
| 31 | Approximate homomorphisms D. H. Hyers, Themistocles M. Rassias · Aequationes Mathematicae | Oct 1992 | 543 |
| 32 | Some remarks ons-convex functions Henryk Hudzik, Lech Maligranda · Aequationes Mathematicae | Aug 1994 | 534 |
| 33 | Proprieta’ locali e approssimazione di operatori Fulvia Skof · Rendiconti del Seminario Matematico e Fisico di Milano | Dec 1983 | 533 |
| 34 | New concentration inequalities in product spaces Michel Talagrand · Inventiones mathematicae | 4 Nov 1996 | 530 |
| 35 | On the Stability of Functional Equations in Banach Spaces Themistocles M. Rassias · Journal of Mathematical Analysis and Applications | Nov 2000 | 526 |
| 36 | On h-convexity Sanja Varošanec · Journal of Mathematical Analysis and Applications | 6 Apr 2006 | 499 |
| 37 | On uniformly convex functions A. W. Goodman · Annales Polonici Mathematici | 1991 | 465 |
| 38 | A convexity in metric space and nonexpansive mappings. I. Wataru Takahashi · Kodai Mathematical Journal | 1970 | 465 |
| 39 | Hyers-Ulam stability of functional equations in several variables Gian Luigi Forti · Aequationes Mathematicae | Aug 1995 | 460 |
| 40 | Decomposition methods: A new proof of convergence Yves Cherruault, G. Adomian · Mathematical and Computer Modelling | Dec 1993 | 459 |
| 41 | On some inequalities for the gamma and psi functions Horst Alzer · Mathematics of Computation | 1997 | 455 |
| 42 | An inequality for the entropy of differentiable maps David Pierre Ruelle · Bulletin of the Brazilian Mathematical Society New Series | Mar 1978 | 450 |
| 43 | A guide to the Choquard equation Vitaly Moroz, Jean Van Schaftingen · Journal of Fixed Point Theory and Applications | 17 Nov 2016 | 449 |
| 44 | Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces Brian R. Hunt, TIMOTHY D. SAUER, James A. Yorke · Bulletin of the American Mathematical Society | 1992 | 443 |
| 45 | Convergence of Adomian's method applied to differential equations Karim Abbaoui, Yves Cherruault · Computers & Mathematics with Applications | Sep 1994 | 442 |
| 46 | The cauchy problem for fuzzy differential equations Osmo Kaleva · Fuzzy Sets and Systems | May 1990 | 439 |
| 47 | Best constants in Young's inequality, its converse, and its generalization to more than three functions Herm Jan Brascamp, Élliott H. Lieb · Advances in Mathematics | May 1976 | 427 |
| 48 | Conformal invariants and function-theoretic null-sets Lars Valerian Ahlfors, Arne Beurling · Acta Mathematica | 1950 | 415 |
| 49 | Cardinal Consistency of Reciprocal Preference Relations: A Characterization of Multiplicative Transitivity Francisco Chiclana, Enrique Herrera‐Viedma, Sergio Alonso et al. · IEEE Transactions on Fuzzy Systems | 6 Nov 2008 | 407 |
| 50 | On Invex Sets and Preinvex Functions S. R. Mohan, Sarmistha Neogy · Journal of Mathematical Analysis and Applications | Feb 1995 | 406 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.