Results 41 to 50 of about 1,555 (127)

On Hammerstein Integral Equations and Engineering Models via Paired Contractions in Partial Metric Spaces

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This paper presents a novel class of paired contractions to establish fixed point results for multivalued mappings within the framework of partial metric spaces. Requirements for the existence of fixed points are investigated, and a few nontrivial instances are given to illustrate the usefulness and relevance of the proposed notions.
Rhoda Chiroma   +5 more
wiley   +1 more source

Common fixed points of R-weakly commuting maps in generalized metric spaces

open access: yesFixed Point Theory and Applications, 2011
In this paper, using the setting of a generalized metric space, a unique common fixed point of four R-weakly commuting maps satisfying a generalized contractive condition is obtained. We also present example in support of our result.
Khan Safeer, Abbas Mujahid, Nazir Talat
doaj  

Fixed Point Results for Cyclic Generalized ψ‐Weak Contraction Mapping in Rectangular b‐Metric Spaces With Applications

open access: yesAbstract and Applied Analysis, Volume 2025, Issue 1, 2025.
The objective of this paper is to present a new fixed‐point result for a class of mappings named a cyclic generalized ψ‐weak contraction. We also presented the best proximity point for the contraction when the considered sets have no common points. We go through rigorous steps to prove the existence of a unique fixed‐point and best proximity point ...
Nigussa L. Bayissa   +2 more
wiley   +1 more source

Stability of common fixed points in uniform spaces

open access: yesFixed Point Theory and Applications, 2011
Stability results for a pair of sequences of mappings and their common fixed points in a Hausdorff uniform space using certain new notions of convergence are proved. The results obtained herein extend and unify several known results.
Singh Shyam   +2 more
doaj  

Solving Systems of Linear Integral Equations via Fixed Point Theory in Extended Parametric Sb‐Metric Spaces

open access: yesInternational Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The purpose of this article is to present some fixed point theorems to guarantee the existence and uniqueness of common fixed points for two mappings (not necessary continuous), satisfying generalized contractions involving rational expressions in the setting of extended parametric Sb‐metric spaces.
Naveen Mani   +4 more
wiley   +1 more source

Fixed point results for contractions involving generalized altering distances in ordered metric spaces

open access: yesFixed Point Theory and Applications, 2011
In this article, we establish coincidence point and common fixed point theorems for mappings satisfying a contractive inequality which involves two generalized altering distance functions in ordered complete metric spaces.
Samet Bessem, Kim Jong, Nashine Hemant
doaj  

Positive coincidence points for a class of nonlinear operators and their applications to matrix equations

open access: yesOpen Mathematics, 2020
Consider an ordered Banach space and f,gf,g two self-operators defined on the interior of its positive cone. In this article, we prove that the equation f(X)=g(X)f(X)=g(X) has a positive solution, whenever f is strictly α\alpha -concave g-monotone or ...
Kedim Imed   +2 more
doaj   +1 more source

Convergence analysis of M-iteration for 𝒢-nonexpansive mappings with directed graphs applicable in image deblurring and signal recovering problems

open access: yesDemonstratio Mathematica, 2023
In this article, weak and strong convergence theorems of the M-iteration method for 𝒢-nonexpansive mapping in a uniformly convex Banach space with a directed graph were established.
Chairatsiripong Chonjaroen   +2 more
doaj   +1 more source

An Improvement of Recent Fixed Point Results in Double‐Composed Partial Metric Spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
More recently, a new concept of double‐composed partial metric space has been introduced, and the related Banach type and Kannan type fixed point results have been established. In this paper, we reconsider Banach type fixed point result in double‐composed partial metric spaces under new and simple assumptions.
Chol Jin Kil, Nawab Hussain
wiley   +1 more source

Mixed monotone-generalized contractions in partially ordered probabilistic metric spaces

open access: yesFixed Point Theory and Applications, 2011
In this article, a new concept of mixed monotone-generalized contraction in partially ordered probabilistic metric spaces is introduced, and some coupled coincidence and coupled fixed point theorems are proved.
Agarwal Ravi   +2 more
doaj  

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