Results 91 to 100 of about 8,017 (187)

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
openaire   +2 more sources

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

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
openaire   +2 more sources

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

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

Dynamics of Hilbert nonexpansive maps [PDF]

, 2014
In his work on the foundations of geometry, Hilbert observed that a formula which appeared in works by Beltrami, Cayley, and Klein, gives rise to a complete metric on any bounded convex domain. Some decades later, Garrett Birkhoff and Hans Samelson noted that this metric has interesting applications, when considering certain maps of convex cones that ...
openaire   +3 more sources

Hybrid mixed type iteration scheme for asymptotically nonexpansive mappings and total asymptotically nonexpansive non-self mappings [PDF]

Mathematica Moravica, 2016
In this paper, we proposed a new two-step iteration scheme of hybrid mixed type for two asymptotically nonexpansive self mappings and two total asymptotically nonexpansive non-self mappings and establish some strong convergence theorems for mentioned ...
Saluja G.S.
doaj  

An Averaged Halpern-Type Algorithm for Solving Fixed-Point Problems and Variational Inequality Problems

Axioms
In this paper, we propose and study an averaged Halpern-type algorithm for approximating the solution of a common fixed-point problem for a couple of nonexpansive and demicontractive mappings with a variational inequality constraint in the setting of a ...
Vasile Berinde, Khairul Saleh
doaj   +1 more source