Cyclic algorithm for common fixed points of finite family of strictly pseudocontractive mappings of Browder-Petryshyn type

DOI10.1016/j.na.2008.07.015zbMath1180.47044OpenAlexW2055651394MaRDI QIDQ1012071

J. Martínez

Publication date: 14 April 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.07.015

zbMATH Keywords

fixed pointscyclic algorithm\(q\)-uniformly smooth Banach spacesstrictly pseudocontractive maps

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

Unnamed Item ⋮ An algorithm for a common fixed point of a family of pseudocontractive mappings ⋮ Strong convergence theorems for strict pseudocontractions in uniformly convex Banach spaces ⋮ Parallel and cyclic algorithms for quasi-nonexpansives in Hilbert space ⋮ Common fixed points of strict pseudocontractions by iterative algorithms ⋮ Strong convergence theorems of an iterative scheme for strictly pseudocontractive mappings in Banach spaces ⋮ New iteration scheme for approximating a common fixed point of a finite family of mappings ⋮ Convergence analysis for proximal split feasibility problems and fixed point problems

Cites Work

• Unnamed Item
• A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces
• Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
• Iterative methods for strict pseudo-contractions in Hilbert spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• Inequalities in Banach spaces with applications
• Demiclosedness principle and convergence theorems for strictly pseudocontractive mappings of Browder-Petryshyn type