Strong convergence of an implicit iteration algorithm for a finite family of pseudocontractive mappings

DOI10.1155/2008/280908zbMath1149.47058OpenAlexW2117258560WikidataQ59216519 ScholiaQ59216519MaRDI QIDQ938439

Yonghong Yao, Yeong-Cheng Liou

Publication date: 19 August 2008

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/129361

zbMATH Keywords

Banach spacecommon fixed pointpseudocontractive mappingconvergence theoremfinite familyimplicit iteration algorithmviscosity type scheme

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (1)

Algorithms with variant anchors for pseudocontractive mappings

Cites Work

• Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps
• An iterative approach to quadratic optimization
• Viscosity approximation methods for nonexpansive mappings
• Implicit predictor-corrector iteration process for finitely many asymptotically (quasi-)nonexpansive mappings
• Strong convergence to common fixed points of a finite family of nonexpansive mappings
• Iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings
• Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• Differential Equations on Closed Subsets of a Banach Space
• An iterative procedure for constructing zeros of accretive sets in Banach spaces

This page was built for publication: Strong convergence of an implicit iteration algorithm for a finite family of pseudocontractive mappings