Results 11 to 20 of about 945 (55)
Demonstratio Mathematica, 2023 In this article, a class of cyclic (noncyclic) operators are defined on Banach spaces via concept of measure of noncompactness using some abstract functions. The best proximity point (pair) results are manifested for the said operators. The obtained main
Patle Pradip Ramesh +2 more
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Fixed Point Theory and Applications, 2013 In this paper, we give strong convergence theorems for the modified S-iteration process of asymptotically quasi-nonexpansive mappings on a CAT(0) space which extend and improve many results in the literature.MSC: Primary 47H09; secondary 47H10.
A. Şahin, M. Basarir
semanticscholar +2 more sources
On the set of common fixed points of semigroups of nonlinear mappings in modular function spaces
Fixed Point Theory and Applications, 2014 We prove that the set of all common fixed points for a continuous nonexpansive semigroup of nonlinear mappings acting in modular function spaces can be represented as an intersection of fixed points sets of two nonexpansive mappings.
Saud M. Alsulami, W. Kozlowski
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The fixed point property in direct sums and modulus R(a,X) [PDF]
, 2012 We show that the direct sum of Banach spaces $X_{1},..., X_{r}$ with a strictly monotone norm has the weak fixed point property for nonexpansive mappings whenever $M(X_{i})>1$ for each $i=1,...,r$. In particular, $(X_{1} \oplus ...
Wiśnicki, Andrzej
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One-local retract and common fixed point in modular function spaces
Fixed Point Theory and Applications, 2012 In this paper, we introduce and study the concept of one-local retract in modular function spaces. In particular, we prove that any commutative family of ρ-nonexpansive mappings defined on a nonempty, ρ-closed and ρ-bounded subset of a modular function ...
S. Al-Mezel, A. Al-roqi, M. Khamsi
semanticscholar +2 more sources
The modified Ishikawa iteration process with errors in CAT(0) spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 In this article, Δ-convergence and strong convergence of the modified Ishikawa iteration process with errors are established for continuous mappings of asymptotically nonexpansive type in CAT(0) spaces. Our results extend and improve the previous results
Ranjbar Sajad
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Applications of uniform asymptotic regularity to fixed point theorems [PDF]
, 2016 We show that there are no nontrivial surjective uniformly asymptotically regular mappings acting on a metric space and derive some consequences of this fact.
Borzdyński, Sławomir +1 more
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Weak compactness and the Eisenfeld-Lakshmikantham measure of nonconvexity
Fixed Point Theory and Applications, 2012 In this article, weakly compact subsets of real Banach spaces are characterized in terms of the Cantor property for the Eisenfeld-Lakshmikantham measure of nonconvexity.
I. Marrero
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INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH, 2023 In this paper, we give some definitions of occasionally weakly compatible maps in fuzzy-2 metric and fuzzy-3 metric spaces and some common fixed point theorems for six mappings under the condition of occasionally weakly compatible mappings in complete ...
Rasik M. Patel, R. Bhardwaj
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Existence of Solutions for a Semilinear Wave Equation With Non-Monotone Nonlinearity [PDF]
, 2010 For double-periodic and Dirichlet-periodic boundary conditions, we prove the existence of solutions to a forced semilinear wave equation with asymptotically linear nonlinearity, no resonance, and non-monotone nonlinearity when the forcing term is not ...
Castro, Alfonso +1 more
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