Results 81 to 90 of about 1,145 (179)

Fixed point theorems for nonexpansive mappings [PDF]

Pacific Journal of Mathematics, 1972
The notions of nonexpansive, contractive, iteratively contractive and strictly contractive mappings have been generalized to a Hausdorff topological space whose topology is generated by a family of pseudometries . A fixed point theorem for strictly contractive mappings is obtained which generalizes the Banach's contractive mapping principle.
openaire   +2 more sources

The Fixed Point Theory for Some Generalized Nonexpansive Mappings

Abstract and Applied Analysis, 2011
We study some aspects of the fixed point theory for a class of generalized nonexpansive mappings, which among others contain the class of generalized nonexpansive mappings recently defined by Suzuki in 2008.
Enrique Llorens Fuster, Elena Moreno Gálvez   +1 more
doaj   +1 more source

Convergence theorems of modified Ishikawa iterations in Banach spaces

Results in Nonlinear Analysis, 2019
In this paper, we introduce the modified iterations of Ishikawa type for nonexpansive mappings (nonexpansive semigroups) to have the strong convergence in a uniformlyconvex Banach space.
Shengquan Weng
doaj  

Iterative Schemes for Fixed Point Computation of Nonexpansive Mappings

Abstract and Applied Analysis, 2012
Fixed point (especially, the minimum norm fixed point) computation is an interesting topic due to its practical applications in natural science. The purpose of the paper is devoted to finding the common fixed points of an infinite family of nonexpansive ...
Rudong Chen
doaj   +1 more source

INEXACT ORBITS OF NONEXPANSIVE MAPPINGS

Taiwanese Journal of Mathematics, 2008
We study the influence of errors on the convergence of orbits of nonexpansive mappings in Banach and metric spaces.
Pustylnik, Evgeniy, Reich, Simeon, Zaslavski, Alexander J.   +2 more
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Demiclosedness Principle for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces

Journal of Applied Mathematics, 2014
We prove the demiclosedness principle for a class of mappings which is a generalization of all the forms of nonexpansive, asymptotically nonexpansive, and nearly asymptotically nonexpansive mappings.
Erdal Karapınar, Hero Salahifard, S. Mansour Vaezpour   +2 more
doaj   +1 more source

On generic convergence of successive approximations of mappings with convex and compact point images. [PDF]

Mon Hefte Math, 2023
Bargetz C, Medjic E, Pirk K.
europepmc   +1 more source

Subinvariant Metric Functionals for Nonexpansive Mappings

Numerical Functional Analysis and Optimization
We investigate the existence of subinvariant metric functionals for commuting families of nonexpansive mappings in noncompact subsets of Banach spaces. Our findings underscore the practicality of metric functionals when searching for fixed points of nonexpansive mappings.
Gutiérrez, Armando W., Nevanlinna, Olavi   +1 more
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A simple computational algorithm with inertial extrapolation for generalized split common fixed point problems. [PDF]

Heliyon, 2021
Gebrie AG, Bedane DS.
europepmc   +1 more source

On compositions of special cases of Lipschitz continuous operators. [PDF]

Fixed Point Theory Algorithm Sci Eng, 2021
Giselsson P, Moursi WM.
europepmc   +1 more source