Convergence theorems for two finite families of asymptotically nonexpansive mappings

DOI10.1016/j.mcm.2011.04.002zbMath1228.47057OpenAlexW2064374297MaRDI QIDQ652855

Weixu Chen, Weiping Guo

Publication date: 18 December 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.04.002

zbMATH Keywords

asymptotically nonexpansive mappingOpial's conditionuniformly convex Banach spacecommon fixed pointKadec-Klee property

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Convergence theorems for mixed type asymptotically nonexpansive mappings ⋮ Convergence theorems for common fixed points of nonself asymptotically nonextensive mappings ⋮ Weak and strong convergence theorems for a finite family of non-Lipschitzian nonself mappings in Banach spaces ⋮ Unnamed Item

Cites Work

• Weak and strong convergence theorems for finite families of asymptotically nonexpansive mappings in Banach spaces
• On the strong convergence of the implicit iterative processes with errors for a finite family of asymptotically nonexpansive mappings
• Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces
• Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings
• Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings
• CONVERGENCE OF IMPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Unnamed Item
• Unnamed Item

This page was built for publication: Convergence theorems for two finite families of asymptotically nonexpansive mappings