Topic · Fixed Point Theorems Analysis
Most cited papers in Fixed Point Theorems Analysis
What are the most cited papers in Fixed Point Theorems Analysis?
The most cited paper in Fixed Point Theorems Analysis is "Multi-valued contraction mappings" (Sam B. Nadler, 1969), with 2,362 citations. Next come "Iterative Algorithms for Nonlinear Operators" (1,676) and "Various generalizations of metric spaces and fixed point theorems" (1,588).
Showing 50 of 100 papers. Every paper with more than 347 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Multi-valued contraction mappings Sam B. Nadler · Pacific Journal of Mathematics | Aug 1969 | 2,362 |
| 2 | Iterative Algorithms for Nonlinear Operators Hong‐Kun Xu · Journal of the London Mathematical Society | Aug 2002 | 1,676 |
| 3 | Various generalizations of metric spaces and fixed point theorems Tran Van An, Nguyen Van Dũng, Zoran Kadelburg et al. · Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas | 12 Jun 2014 | 1,588 |
| 4 | On some results in fuzzy metric spaces Aravind George, P. Veeramani · Fuzzy Sets and Systems | Jun 1994 | 1,575 |
| 5 | A fixed point theorem in partially ordered sets and some applications to matrix equations André C. M. Ran, Martine Reurings · Proceedings of the American Mathematical Society | 18 Sep 2003 | 1,426 |
| 6 | Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations Juan J. Nieto, Rosana Rodríguez‐López · Order | Aug 2005 | 1,261 |
| 7 | Fixed point theorems in partially ordered metric spaces and applications T. Gnana Bhaskar, Vangipuram Lakshmikantham · Nonlinear Analysis | 5 Apr 2006 | 1,243 |
| 8 | Cone metric spaces and fixed point theorems of contractive mappings Huang Long-guang, Xian Zhang · Journal of Mathematical Analysis and Applications | 23 Dec 2006 | 1,167 |
| 9 | Differentiability of Lipschitz Functions on Metric Measure Spaces Jeff Cheeger · Geometric and Functional Analysis | Aug 1999 | 1,066 |
| 10 | Construction of fixed points of nonlinear mappings in Hilbert space Felix E. Browder, W. V. Petryshyn · Journal of Mathematical Analysis and Applications | Nov 1967 | 1,030 |
| 11 | Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence Pu Pao-Ming, Liu Ying-ming · Journal of Mathematical Analysis and Applications | Aug 1980 | 995 |
| 12 | Fixed points in fuzzy metric spaces Mariusz Grabiec · Fuzzy Sets and Systems | Sep 1988 | 983 |
| 13 | Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces Ky Fan · Proceedings of the National Academy of Sciences | Feb 1952 | 983 |
| 14 | Fixed point theorems for -contractive type mappings Bessem Samet, Calogero Vetro, Pasquale Vetro · Nonlinear Analysis | 5 Nov 2011 | 969 |
| 15 | Viscosity approximation methods for nonexpansive mappings Hong‐Kun Xu · Journal of Mathematical Analysis and Applications | 30 Jul 2004 | 942 |
| 16 | Fixed points of a new type of contractive mappings in complete metric spaces Dariusz Wardowski · Fixed Point Theory and Applications | 7 Jun 2012 | 927 |
| 17 | A fixed point theorem for asymptotically nonexpansive mappings K. Goebel, W. A. Kirk · Proceedings of the American Mathematical Society | Sep 1972 | 912 |
| 18 | On stability of additive mappings Zbigniew Gajda · International Journal of Mathematics and Mathematical Sciences | 1991 | 859 |
| 19 | Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces Vangipuram Lakshmikantham, Ljubomir B. Ćirić · Nonlinear Analysis | 18 Oct 2008 | 854 |
| 20 | Compatible mappings and common fixed points Gerald F. Jungck · International Journal of Mathematics and Mathematical Sciences | 1986 | 846 |
| 21 | Compatible mappings and common fixed points (2) Gerald F. Jungck · International Journal of Mathematics and Mathematical Sciences | 1988 | 803 |
| 22 | Weak convergence theorems for nonexpansive mappings in Banach spaces Simeon Reich · Journal of Mathematical Analysis and Applications | Feb 1979 | 786 |
| 23 | On fuzzy metric spaces Osmo Kaleva, Seppo Seikkala · Fuzzy Sets and Systems | Apr 1984 | 778 |
| 24 | Weak and strong convergence to fixed points of asymptotically nonexpansive mappings Jürgen Schu · Bulletin of the Australian Mathematical Society | Feb 1991 | 771 |
| 25 | A theorem on contraction mappings A. Meir, Emmett B. Keeler · Journal of Mathematical Analysis and Applications | Nov 1969 | 755 |
| 26 | Fixed point theorems by altering distances between the points M. S. Khan, M. Swaleh, Salvatore Sessa · Bulletin of the Australian Mathematical Society | Aug 1984 | 738 |
| 27 | Strong convergence theorems for resolvents of accretive operators in Banach spaces Simeon Reich · Journal of Mathematical Analysis and Applications | May 1980 | 710 |
| 28 | Commuting Mappings and Fixed Points Gerald F. Jungck · American Mathematical Monthly | Apr 1976 | 704 |
| 29 | An introduction to intuitionistic fuzzy topological spaces Doğan Çoker · Fuzzy Sets and Systems | May 1997 | 692 |
| 30 | The splitting theorem for manifolds of nonnegative Ricci curvature Jeff Cheeger, Detlef Gromoll · Journal of Differential Geometry | Sep 1971 | 679 |
| 31 | A general class of fuzzy operators, the demorgan class of fuzzy operators and fuzziness measures induced by fuzzy operators József Dániel Dombi · Fuzzy Sets and Systems | Aug 1982 | 640 |
| 32 | An Iterative Approach to Quadratic Optimization Hong‐Kun Xu · Journal of Optimization Theory and Applications | Mar 2003 | 639 |
| 33 | Fixed point theorems for mappings satisfying inwardness conditions James Caristi · Transactions of the American Mathematical Society | 1976 | 630 |
| 34 | Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals Tomonari Suzuki · Journal of Mathematical Analysis and Applications | 11 Jan 2005 | 625 |
| 35 | Ergodic convergence to a zero of the sum of monotone operators in Hilbert space Gregory B. Passty · Journal of Mathematical Analysis and Applications | Dec 1979 | 623 |
| 36 | The Hybrid Steepest Descent Method for the Variational Inequality Problem Over the Intersection of Fixed Point Sets of Nonexpansive Mappings Isao Yamada · Studies in computational mathematics | 2001 | 622 |
| 37 | The contraction principle for mappings on a metric space with a graph Jacek R. Jachymski · Proceedings of the American Mathematical Society | 5 Dec 2007 | 620 |
| 38 | Approximation of fixed points of nonexpansive mappings Rainer Wittmann · Archiv der Mathematik | May 1992 | 608 |
| 39 | Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups Kazuhide Nakajo, Wataru Takahashi · Journal of Mathematical Analysis and Applications | Mar 2003 | 607 |
| 40 | On the convergence of the proximal algorithm for nonsmooth functions involving analytic features Hédy Attouch, Jérôme Bolte · Mathematical Programming | 3 May 2007 | 604 |
| 41 | The fixed point theory of multi-valued mappings in topological vector spaces Felix E. Browder · Mathematische Annalen | Dec 1968 | 604 |
| 42 | Some Remarks Concerning Contraction Mappings Simeon Reich · Canadian Mathematical Bulletin | 1971 | 595 |
| 43 | Some notes on the paper “Cone metric spaces and fixed point theorems of contractive mappings” Sh. Rezapour, R. Hamlbarani · Journal of Mathematical Analysis and Applications | 27 Apr 2008 | 588 |
| 44 | Intuitionistic fuzzy metric spaces Jin Han Park · Chaos Solitons & Fractals | 8 May 2004 | 588 |
| 45 | On the Stability of Functional Equations and a Problem of Ulam Themistocles M. Rassias · Acta Applicandae Mathematicae | May 2000 | 586 |
| 46 | Existence and Uniqueness of Fixed Point in Partially Ordered Sets and Applications to Ordinary Differential Equations Juan J. Nieto, Rosana Rodríguez‐López · Acta Mathematica Sinica English Series | 29 Apr 2006 | 580 |
| 47 | Existence and convergence of best proximity points A. Anthony Eldred, P. Veeramani · Journal of Mathematical Analysis and Applications | 8 Dec 2005 | 573 |
| 48 | Generalized contractions in partially ordered metric spaces Ravi P. Agarwal, Mohamed A. El-Gebeily, Donal O’Regan · Applicable Analysis | 2008 | 564 |
| 49 | BIRATIONAL GEOMETRY OF ALGEBRAIC VARIETIES (Cambridge Tracts in Mathematics 134) P. Μ. H. Wilson · Bulletin of the London Mathematical Society | 2000 | 554 |
| 50 | A Generalization of a Fixed Point Theorem of Reich G. E. Hardy, Thomas D. Rogers · Canadian Mathematical Bulletin | Jun 1973 | 552 |
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.