Implicit iteration process for common fixed points of strictly asymptotically pseudocontractive mappings in Banach spaces

DOI10.1155/2008/324575zbMath1219.47129OpenAlexW2016476761WikidataQ59218048 ScholiaQ59218048MaRDI QIDQ1008502

Jong Kyu Kim, You-Xian Tian, Xiong Rui Wang, Shi Sheng Zhang, Jia-lin Huang

Publication date: 30 March 2009

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45407

zbMATH Keywords

strong convergenceBanach spacecommon fixed pointstrictly asymptotically pseudocontractive mappingimplicit iteration scheme

Mathematics Subject Classification ID

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

Related Items (5)

Approximation analysis for a common fixed point of finite family of mappings which are asymptotically \(k\)-strict pseudocontractive in the intermediate sense ⋮ Weak and strong convergence theorems for asymptotically strict pseudocontractive mappings in the intermediate sense ⋮ Convergence theorems for asymptotically pseudocontractive mappings in the intermediate sense ⋮ Algorithms for finding a common element of the set of common fixed points for nonexpansive semigroups, variational inclusions and generalized equilibrium problems ⋮ Convergence theorems on asymptotically pseudocontractive mappings in the intermediate sense

Cites Work

• Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps
• Demiclosedness principle and convergence theorems for \(k\)-strictly asymptotically pseudocontractive maps
• The new composite implicit iterative process with errors for common fixed points of a finite family of strictly pseudocontractive mappings
• Composite implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps
• Construction of fixed points of nonlinear mappings in Hilbert space
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• Convergence theorems of the sequence of iterates for asymptotically demicontractive and hemicontractive mappings

This page was built for publication: Implicit iteration process for common fixed points of strictly asymptotically pseudocontractive mappings in Banach spaces