Results 31 to 40 of about 1,214 (128)
Fixed‐point theorems for multivalued non‐expansive mappings without uniform convexity
Abstract and Applied Analysis, Volume 2003, Issue 6, Page 375-386, 2003., 2003 Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies the nonstrict Opial condition. Let C be a bounded closed convex subset of X, KC(C) the family of all compact convex subsets of C, and T a nonexpansive mapping from C into KC(C). We prove that T has a fixed point.
T. Domínguez Benavides +1 more
wiley +1 more source
Persistence landscapes of affine fractals
Demonstratio Mathematica, 2022 We develop a method for calculating the persistence landscapes of affine fractals using the parameters of the corresponding transformations. Given an iterated function system of affine transformations that satisfies a certain compatibility condition, we ...
Catanzaro Michael J. +2 more
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this article, we introduce a new class of cyclic and noncyclic condensing operators that extend the notion of condensing mappings previously proposed by Gabeleh and Markin (M. Gabeleh and J. Markin, Optimum solutions for a system of differential equations via measure of noncompactness, Indagationes Mathematicae, 29(3) [2018], 895–906).
A. Pradhan +4 more
wiley +1 more source
Demonstratio Mathematica, 2022 The purpose of this article is to study and analyse a new extragradient-type algorithm with an inertial extrapolation step for solving split fixed-point problems for demicontractive mapping, equilibrium problem, and pseudomonotone variational inequality ...
Okeke Chibueze C. +2 more
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This paper establishes new fixed‐point (FP) theorems for Suzuki–Rational (ψ, ϕ)‐type multivalued contractions in complete rectangular M‐metric spaces (RM‐MSs). These theorems ensure the existence of fixed points and provide significant insights into the structural properties of such contractions.
Mustafa Mudhesh +4 more
wiley +1 more source
KKM and KY fan theorems in modular function spaces
Fixed Point Theory and Applications, 2011 In modular function spaces, we introduce Knaster-Kuratowski-Mazurkiewicz mappings (in short KKM-mappings) and prove an analogue to Ky Fan s fixed point theorem. 2010 Mathematics Subject Classification: Primary 46B20, 47H09; Secondary 47H10.
Latif Abdul +2 more
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Some new fixed point theorems for nonexpansive-type mappings in geodesic spaces
Open Mathematics, 2022 In this article, we present some new fixed point existence results for nonexpansive-type mappings in geodesic spaces. We also give a number of illustrative examples to settle our claims.
Shukla Rahul, Panicker Rekha
doaj +1 more source
The asymptotic behavior of a class of nonlinear semigroups in Hadamard spaces [PDF]
, 2014 We study a nonlinear semigroup associated to a nonexpansive mapping on a Hadamard space and establish its weak convergence to a fixed point. A discrete-time counterpart of such a semigroup, the proximal point algorithm, turns out to have the same ...
Bacak, Miroslav, Reich, Simeon
core
Applications of Asymptotic Fixed Point Theorems in A‐Metric Spaces to Integral Equations
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, using asymptotically regular sequences and mappings other than Picard operators, the most general forms of Hardy–Rogers and Ćirić fixed point theorems in the framework of A‐metric space are presented. Furthermore, we give some applications to integral equations, which show the effectiveness of fixed point results presented herein.
Ismat Beg +4 more
wiley +1 more source
Fixed Point Theory and Applications, 2011 We study the strong convergence of a regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and uniformly smooth Banach space.
Tuyen Truong, Kim Jong
doaj