Convergence theorems for a countable family of Lipschitzian mappings

DOI10.1016/j.amc.2009.04.020zbMath1223.47089OpenAlexW2016292589MaRDI QIDQ833156

Weerayuth Nilsrakoo, Satit Saejung

Publication date: 12 August 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.04.020

zbMATH Keywords

strong convergenceweak convergencenonexpansive mappingasymptotically nonexpansive mappinguniformly convex Banach spaceLipschitzian mapping

Mathematics Subject Classification ID

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

Related Items

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Iterative construction of fixed points of asymptotically nonexpansive mappings
• A new three-step fixed point iteration scheme for asymptotically nonexpansive mappings
• Weak and strong convergence theorems for finite families of asymptotically nonexpansive mappings in Banach spaces
• Weak and strong convergence theorems for countable Lipschitzian mappings and its applications
• A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces
• Geometry of Banach spaces. Selected topics
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Weak convergence theorems for asymptotically nonexpansive mappings and semigroups
• Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces
• On the approximation problem of fixed points for asymptotically nonexpansive mappings
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• A reconsideration on convergence of three-step iterations for asymptotically nonexpansive mappings
• Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• WEAK AND STRONG CONVERGENCE OF MANN'S-TYPE ITERATIONS FOR A COUNTABLE FAMILY OF NONEXPANSIVE MAPPINGS
• Inequalities in Banach spaces with applications
• Approximating Fixed Points of Nonexpansive Mappings
• Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Mean Value Methods in Iteration