Strong and Weak Convergence of Implicit Iterative Process with Errors for Asymptotically Nonexpansive Mappings

DOI10.1515/JAA.2006.267zbMath1138.47045OpenAlexW2009791355MaRDI QIDQ5296473

Feng Gu

Publication date: 1 August 2007

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa.2006.267

zbMATH Keywords

asymptotically nonexpansive mappingcommon fixed pointOpial conditiondemiclosedness principlesemi-compactnessimplicit iterative sequence with errors

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (1)

Some convergence theorems of non-implicit iteration process with errors for a finite families of \(I\)-asymptotically nonexpansive mappings

Cites Work

• Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• Approximation of fixed points of nonexpansive mappings
• Strong convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings.
• The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• CONVERGENCE OF IMPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
• Fixed points of nonexpanding maps

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