Results 21 to 30 of about 511 (79)

Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings

open access: yesDemonstratio Mathematica, 2020
In this study, at first we prove that the existence of best proximity points for cyclic nonexpansive mappings is equivalent to the existence of best proximity pairs for noncyclic nonexpansive mappings in the setting of ...
Gabeleh Moosa, Künzi Hans-Peter A.
doaj   +1 more source

Convergence analysis for split hierachical monotone variational inclusion problem in Hilbert spaces

open access: yesTopological Algebra and its Applications, 2022
In this paper, we introduce a new iterative algorithm for approximating a common solution of Split Hierarchical Monotone Variational Inclusion Problem (SHMVIP) and Fixed Point Problem (FPP) of k-strictly pseudocontractive mappings in real Hilbert spaces.
Abass H.A., Jolaoso L. O., Mewomo O. T.
doaj   +1 more source

On split feasibility problem for finite families of equilibrium and fixed point problems in Banach spaces

open access: yesDemonstratio Mathematica, 2022
In this article, motivated by the works of Ali Akbar and Elahe Shahrosvand [Split equality common null point problem for Bregman quasi-nonexpansive mappings, Filomat 32 (2018), no. 11, 3917–3932], Eskandani et al.
Abass Hammed A.   +4 more
doaj   +1 more source

KKM and KY fan theorems in modular function spaces

open access: yesFixed 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
doaj  

Mann-Dotson's algorithm for a countable family of non-self Lipschitz mappings in hyperbolic metric space

open access: yesTopological Algebra and its Applications, 2023
The aim of this article is to present some Δ\Delta -convergence and strong convergence results for a countable family of non-self mappings. More precisely, we employ Mann-Dotson’s algorithm to approximate, common fixed points of a countable family of non-
Patel Prashant, Shukla Rahul
doaj   +1 more source

Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces

open access: yesFixed 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  

Rodé's theorem on common fixed points of semigroup of nonexpansive mappings in CAT(0) spaces

open access: yesFixed Point Theory and Applications, 2011
We extend Rodé's theorem on common fixed points of semigroups of nonexpansive mappings in Hilbert spaces to the CAT(0) space setting. 2000 Mathematics Subject Classification: 47H09; 47H10.
Anakkamatee Watcharapong   +1 more
doaj  

Approximation of common fixed points of strongly nonexpansive sequences in a Banach space [PDF]

open access: yes, 2018
The aim of this paper is to establish a strong convergence theorem for a strongly nonexpansive sequence in a Banach space. We also deal with some applications of the convergence theorem.
arxiv   +1 more source

Composite iterative schemes for maximal monotone operators in reflexive Banach spaces

open access: yesFixed Point Theory and Applications, 2011
In this article, we introduce composite iterative schemes for finding a zero point of a finite family of maximal monotone operators in a reflexive Banach space. Then, we prove strong convergence theorems by using a shrinking projection method.
Cho Yeol   +2 more
doaj  

Approximating Fixed Points of Nonself Contractive Type Mappings in Banach Spaces Endowed with a Graph

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
Let K be a non-empty closed subset of a Banach space X endowed with a graph G. We obtain fixed point theorems for nonself G-contractions of Chatterjea type.
Balog Laszlo   +2 more
doaj   +1 more source

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