Mathematics â€ș Geometry and Topology

Fixed Point Theorems Analysis

Description

This cluster of papers explores fixed point theorems in metric spaces, focusing on contractive mappings, partial ordering, generalized contractions, best proximity points, cone metric spaces, multi-valued mappings, fuzzy metric spaces, and their applications to ordinary differential equations.

Keywords

Fixed Point Theorems; Metric Spaces; Contractive Mappings; Partial Ordering; Generalized Contractions; Best Proximity Points; Cone Metric Spaces; Multi-valued Mappings; Fuzzy Metric Spaces; Ordinary Differential Equations

Most Cited Works

Action Title Date Authors
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Iterative Approximation of Fixed Points 2007-01-01 Vasile Berinde
The splitting theorem for manifolds of nonnegative Ricci curvature 1971-09-01 Jeff Cheeger Detlef Gromoll
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Topologies on Closed and Closed Convex Sets 1993-01-01 Gerald Beer
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Fuzzy metrics and statistical metric spaces 1975-01-01 Ivan Kramosil Jiƙí Michálek
Statistical metric spaces 1960-03-01 Berthold Schweizer A. Sklar
A fixed point theorem for asymptotically nonexpansive mappings 1972-09-01 K. Goebel W. A. Kirk
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Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations 2005-08-01 Juan J. Nieto Rosana RodrĂ­guez‐Löpez
On nonlinear contractions 1969-02-01 David W. Boyd J. S. W. Wong
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On some results in fuzzy metric spaces 1994-06-01 Aravind George P. Veeramani
Metric spaces and positive definite functions 1938-01-01 I. J. Schoenberg
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Strong convergence theorems for resolvents of accretive operators in Banach spaces 1980-05-01 Simeon Reich
Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces 1952-02-01 Ky Fan
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Differentiability of Lipschitz Functions on Metric Measure Spaces 1999-08-01 Jeff Cheeger
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A Fixed Point Theorem for Mappings which do not Increase Distances 1965-11-01 W. A. Kirk
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On fuzzy metric spaces 1984-04-01 Osmo Kaleva Seppo Seikkala
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Weak convergence theorems for nonexpansive mappings in Banach spaces 1979-02-01 Simeon Reich
A comparison of various definitions of contractive mappings 1977-01-01 Β. E. Rhoades
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Fixed points by a new iteration method 1974-05-01 Shiro Ishikawa
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A generalization of Tychonoff's fixed point theorem 1961-06-01 Ky Fan
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Cone metric spaces and fixed point theorems of contractive mappings 2006-12-23 Huang Long-guang Xian Zhang
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Viscosity approximation methods for nonexpansive mappings 2004-07-30 Hong–Kun Xu
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Construction of fixed points of nonlinear mappings in Hilbert space 1967-11-01 Felix E. Browder W. V. Petryshyn
On stability of additive mappings 1991-01-01 Zbigniew Gajda
Homotopy associativity of đ»-spaces. II 1963-01-01 James Stasheff
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An introduction to intuitionistic fuzzy topological spaces 1997-05-01 Doğan Çoker
Weak and strong convergence to fixed points of asymptotically nonexpansive mappings 1991-02-01 JĂŒrgen Schu
Weak convergence of the sequence of successive approximations for nonexpansive mappings 1967-01-01 Z. Opial
A generalization of Banach’s contraction principle 1974-08-01 Lj. B. Ćirić
A fixed point theorem of the alternative, for contractions on a generalized complete metric space 1968-01-01 J. B. DĂ­az Beatriz Margolis
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Fixed points in fuzzy metric spaces 1988-09-01 Mariusz Grabiec
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Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces 2008-10-18 V. Lakshmikantham Ɓjubomir Ćirić
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Metric Spaces and Completely Monotone Functions 1938-10-01 I. J. Schoenberg
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Approximating Fixed Points of Nonexpansive Mappings by the Ishikawa Iteration Process 1993-09-01 Kok Kiong Tan Hong–Kun Xu
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Various generalizations of metric spaces and fixed point theorems 2014-06-12 Tran Van An Nguyen Van DĆ©ng Zoran Kadelburg Stojan Radenović
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Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces 1976-10-01 Herbert Amann
Fixed points of a new type of contractive mappings in complete metric spaces 2012-06-07 Dariusz Wardowski
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A theorem on contraction mappings 1969-11-01 A. Meir Emmett B. Keeler
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Fixed point theorems in partially ordered metric spaces and applications 2006-04-05 T. Gnana Bhaskar V. Lakshmikantham
Multi-valued contraction mappings 1969-08-01 Sam B. Nadler
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Iterative Algorithms for Nonlinear Operators 2002-08-01 Hong–Kun Xu
A fixed point theorem in partially ordered sets and some applications to matrix equations 2003-09-18 André C. M. Ran Martine Reurings
Fixed point theorems by altering distances between the points 1984-08-01 M. S. Khan M. Swaleh Salvatore Sessa
Compatible mappings and common fixed points<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$\left( 2 \right)$"><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> 1988-01-01 Gerald Jungck
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Commuting Mappings and Fixed Points 1976-04-01 Gerald Jungck
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Fixed point theorems for -contractive type mappings 2011-11-05 Bessem Samet Calogero Vetro Pasquale Vetro
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Stable Mappings and Their Singularities 1973-01-01 Martin Golubitsky Victor Guillemin
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Convex Analysis and Monotone Operator Theory in Hilbert Spaces 2011-01-01 Heinz H. Bauschke Patrick L. Combettes
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Fixed Point Theory 2003-01-01 Andrzej Granas J. Dugundji
Compatible mappings and common fixed points 1986-01-01 Gerald Jungck
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Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence 1980-08-01 Pu Pao-Ming Liu Ying-ming

Most Recent Works

Action Title Date Authors
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Fixed Point Theorem in MR-metric Spaces VIA Integral Type Contraction 2025-04-16 Abed Al-Rahman M. Malkawi
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<i>η</i> -Stability of uncertain functional differential equations 2025-04-17 Zhi Li Bo Yang Liping Xu
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A generalized metric-type structure with some applications 2025-04-18 Hallowed Olaoluwa Aminat O. Ige J. O. Olaleru Mujahid Abbas
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Existence Results for Some Classes of Weighted Equilibrium Problems 2025-04-21 Miruna Beldiman Andrei-Dan Halanay
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On Some Ciric Type Cyclic Coupled F-Contractions in Complete Metric Spaces 2025-04-21 Dakjum Eshi Bipan Hazarika Nipen Saikia Sumati Kumari Panda Dania Santina Salma Haque Nabil Mlaiki
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A Study of Fixed Point Results for Incompatible Mappings in Neutrosophic Double Controlled Metric Spaces with Application 2025-04-21 M. Rathivel M. Jeyaraman Rahul Shukla
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Best Proximity Point Results for Multivalued Non-Self Mappings in O-Complete Metric Space 2025-04-21 V. Pragadeeswarar V. Thinkal Manuel De la Sen
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A Study of Fuzzy Fixed Points and Their Application to Fuzzy Fractional Differential Equations 2025-04-22 Nawal Alharbi Nawab Hussain
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Mas-Colell Properness Condition and Almost Convexity in Nonconvex Optimization 2025-04-22 FabiĂĄn Flores-BazĂĄn
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Discussion on fixed points of nonlinear <i>F</i>-contractions in partially ordered double-composed metric-like spaces 2025-04-18 Chol Jin Kil Bun-Hui Kim Song-Il Jon Hyoungrea Rim
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Multiplicative modular metric spaces and some fixed point results 2025-04-22 Elif Kaplan Ni̇hal Taß Salma Haque Nabil Mlaiki
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Interpolative Contraction and Discontinuity at Fixed Point on Partial Metric Spaces 2025-04-21 Nabaraj Adhikari
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Common fixed points in Chebyshev center for a semigroup of isometry mappings 2025-04-18 Sharma Abhishek Sankara Narayanan Rajesh
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A self-adaptive two-subgradient extragradient algorithm for approximating solutions of generalized split feasibility problems with applications 2025-04-23 Monday Ogudu Nnakwe Masuzyo Mwanza Abubakar Adamu
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Algorithms for solving fixed point problems involving quasi-pseudocontractive mappings 2025-04-23 H. H. Gidey Habtu Zegeye Oganeditse A. Boikanyo Yirga Abebe Belay
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Vectorially $${\textsf{G}}$$-contraction mappings and best proximity points 2025-04-24 Kamal Fallahi Adrian Petrußel Ghasem Soleimani Rad
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Collectively coincidence points based on inclusion properties 2025-04-24 Donal O’Regan
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Study of Solution as Locally Asymptotic Attractivity for Nonlinear Functional Integral Equation 2025-04-26 S. N. Salunkhe
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Regularity of Sets of Finite Fractional Perimeter and Nonlocal Minimal Surfaces in Metric Measure Spaces 2025-04-26 Josh Kline
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Topological Properties and Fixed Point Results for Modified Intuitionistic Generalized Fuzzy Metric Spaces 2025-04-28 Vishal Gupta Ashima Kanwar Rahul Shukla
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Espacios de tipo b--métrico extendido y teoremas del punto fijo 2025-04-26 Reinaldo Martínez Cruz María Dannae Macias Macias José Erasmo Pérez-Våzquez Ricardo López-Hernåndez
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Best Proximity Point Theorems on 𝑏 − ¿ Multiplicative Metric Spaces 2025-04-28 P Joselin Lavino A Mary Priya Dharsini
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<i>T</i>-normed vector spaces and fixed point theorems via a binary relation 2025-04-30 Youssef Touail
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Strongly Quasisymmetric Mappings in Normed Spaces 2025-04-30 Tiantian Guan
On generalized metrics of Vandermonde type 2025-04-29 Wolf‐JĂŒrgen Beyn
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$\theta(\tau_1,\tau_2)$-continuity for Functions 2025-05-01 Montri Thongmoon Supunnee Sompong Chawalit Boonpok
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On Contra-$(\tau_1,\tau_2)p$-continuity and Almost Contra-$(\tau_1,\tau_2)p$-continuity for Multifunctions 2025-05-01 Chokchai Viriyapong Areeyuth Sama-Ae Chawalit Boonpok
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Common Fixed Point Theorems for Mappings Satisfying implicit Relation in Bipolar metric Space} 2025-05-01 Murthy Penumarthy Parvateesam Chandra Prakash Dhuri Rajagopalan Ramaswamy Khizar Hyatt Khan Ola A. Ashour Abdelnaby
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Common Fixed Points of Asymptotically Regular Mappings in Convex Metric Spaces with Application 2025-05-01 Abdul Rahim Khan Godwin Chidi Ugwunnadi Maggie Aphane Faizan Yousaf Amir Abbas
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Unique Fixed Point Results via Geraghty Type Contraction with Applications 2025-05-01 Kamaleldin Abodayeh Badshah-e- Rome Sidra Nizam Muhammad Sarwar
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Convergence and Fixed Points of Self-Mappings in MR-Metric Spaces: Theory and Applications 2025-05-01 Abed Al-Rahman M. Malkawi
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Hierarchical Fixed Point Results for a Countable Family of Strict Pseudo-contractive Mappings in Hadamard Manifolds 2025-05-01 Prashant Patel Rahul Shukla
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Fixed Points for Generalized Contractions in $b$-Gauge Spaces and Applications 2025-05-01 Khadidja Nisse Haitham Qawaqneh Gawhara Al-Musannef Habes Alsamir Said Beloul
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Common Fixed Point Results in Double-Composed Cone Metric-Like Spaces for Some Generalized Rational Contractions with Applications 2025-05-01 Anas A. Hijab Laith K. Shaakir Sarah Aljohani Nabil Mlaik Mlaik
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Fixed Point Results for Enriched Interpolative Type Multivalued Contractions via a Simulation Function 2025-05-01 Amit Gangwar Shivam Rawatb Hassen Aydi Sarah Aljohani Nabil Mlaiki
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Some Characterizations of Quasi-Curves in Galilean 3-Space 2025-05-01 Ayman Elsharkawy Noha Elsharkawy
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Existence and Uniqueness of Fixed Points in $MR-Metric$ Spaces and Their Applications 2025-05-01 Abed Al-Rahman M. Malkawi
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Some Fixed Point Theorems for \(\Theta-\phi\)-Multivalued Contraction Mappings in Rectangular \(b\)-Metric Spaces 2025-05-01 Hafida Massit Mohamed Rossafi Zoran D‎. Mitrović Ahmad Aloqaily Nabil Mlaiki
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On approximately skew derivations 2025-05-01 H. Khodaei Mehdi Rostami Ahmad Alinejad
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Almost Contra-$(\tau_1,\tau_2)p$-continuity for Functions 2025-05-01 Prapart Pue-on Areeyuth Sama-Ae Chawalit Boonpok
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Fixed Point Results on Interpolative Metric Spaces via Simulation Functions 2025-05-01 Selma GĂŒlyaz Ghazyiah Alsahli
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Erratum to: Necessary optimality conditions for a bilevel multiobjective problem in terms of approximations 2025-05-02 Nazih Abderrazzak Gadhi Mohamed Ohda
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Some fixed point theorems for (E,a)-expansive mappings in complete bipolar metric spaces 2025-04-17 Pankaj Pankaj Manoj Kumar
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\varphi-FIXED POINT RESULTS IN METRIC SPACES WITH AN APPLICATION 2025-05-02 Rajagopalan Rmaswamy P. P. Murthy Pushplata Sahu Rayan Abdulrahman Alkhowaiter Hossam A. Nabway Gunaseelan Mani
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Solving equilibrium and fixed-point problems in Hilbert spaces: a new strongly convergent inertial subgradient extragradient method 2025-05-05 Habib ur Rehman Debdas Ghosh Chinedu Izuchukwu Xiaopeng Zhao
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Fixed Point Theory in Semigroups and Applications in Optimization Problems 2025-05-05 Abubakar Abdulkarim Usman Mohammed Yusuf Aminu Abdullahi Ahsan Hafiz Muhammad Nurhakimah Mohd Mukhtar
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An existence results of a product type fractional functional integral equations using Petryshyn's fixed point theorem 2025-05-06 Sukanta Halder Deepmala Cemil Tunç
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A new type of convergence in partial metric spaces 2025-05-05 Fatıh Nuray Elif Nuray Yıldırım
Generalized $\theta$-Parametric Metric Spaces: Fixed Point Theorems and Applications to Fractional Economic Models 2025-04-22 Abhishikta Das Hemanta Kalita Mohammad Sajid T. Bag
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On Bi-metric Regularity of Variational Inclusion Appearing in Affine Optimal Control Problems 2025-05-10 Victor J. Lopez