A new one-step implicit iterative process for common fixed points of two asymptotically nonexpansive mappings in Banach spaces

DOI10.1016/j.exmath.2011.01.005zbMath1368.47094OpenAlexW2077041908MaRDI QIDQ534172

Safeer Hussain Khan, Isa Yildirim

Publication date: 17 May 2011

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2011.01.005

zbMATH Keywords

strong convergenceweak convergenceasymptotically nonexpansive mappingOpial conditionimplicit iterative algorithmsemicompact

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

A one-step implicit iterative method for two finite families of asymptotically nonexpansive mappings in a hyperbolic space ⋮ Convergence of perturbed composite implicit iteration process for a finite family of asymptotically nonexpansive mappings

Cites Work

• Convergence of iterates with errors of asymptotically quasi-nonexpansive mappings and applications
• Weak and strong convergence theorems for nonexpansive mappings in Banach spaces
• On the strong convergence of the implicit iterative processes with errors for a finite family of asymptotically nonexpansive mappings
• Convergence analysis of implicit iterative algorithms for asymptotically nonexpansive mappings
• Strong convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings.
• Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings
• Strong convergence theorems on an iterative method for a family of finite nonexpansive mappings in reflexive Banach spaces
• Weak and strong convergence theorems for nonexpansive semigroups in Banach spaces
• On the convergence of implicit iteration process with error for a finite family of asymptotically nonexpansive mappings
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• CONVERGENCE OF IMPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A new one-step implicit iterative process for common fixed points of two asymptotically nonexpansive mappings in Banach spaces