Composite Implicit Iteration Process for Two Finite Families of Generalized Asymptotically Quasi-Nonexpansive Mappings

DOI10.1080/01630563.2013.809735zbMath1483.47108OpenAlexW1971275083MaRDI QIDQ5409736

Pan Chen, Li-Ping Yang

Publication date: 14 April 2014

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2013.809735

zbMATH Keywords

strong convergenceuniformly convex Banach spaceuniformly continuousdemiclosedgeneralized asymptotically quasi-nonexpansive mappingcomposite implicit iteration process

Mathematics Subject Classification ID

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

Cites Work

• Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps
• The new composite implicit iterative process with errors for common fixed points of a finite family of strictly pseudocontractive mappings
• Convergence analysis of implicit iterative algorithms for asymptotically nonexpansive mappings
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Fixed point iterations for certain nonlinear mappings
• Mann and Ishikawa iterations with errors for non-Lipschitzian mappings in Banach spaces
• Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings
• Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type
• Strong convergence of an implicit iteration process for a finite family of generalized asymptotically quasi-nonexpansive maps
• Composite implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps
• Convergence theorems for sequences of nonlinear operators in Banach spaces
• Some geometric properties related to the fixed point theory for nonexpansive mappings
• On the convergence of implicit iteration process with error for a finite family of asymptotically nonexpansive mappings
• 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
• Implicit Iterations of Two Finite Families for Nonexpansive Mappings in Banach Spaces
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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