Convergence theorems of a new iteration for asymptotically nonexpansive mappings in Banach spaces

DOI10.1186/1029-242X-2013-179zbMath1364.47030WikidataQ59292874 ScholiaQ59292874MaRDI QIDQ394652

Jong Kyu Kim, Won Hee Lim

Publication date: 27 January 2014

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

zbMATH Keywords

Banach spacesweak convergenceasymptotically nonexpansive mappingcommon fixed pointimplicit Ishikawa-type iterative process

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Nonlinear ergodic theorems (47H25)

Cites Work

• Convergence theorems of implicit iterative sequences for a finite family of asymptotically quasi-nonexpansive type mappings
• Convergence of an implicit algorithm for two families of nonexpansive mappings
• Implicit iterative algorithms for treating strongly continuous semigroups of Lipschitz pseudocontractions
• Perturbation techniques for nonexpansive mappings with applications
• Weak convergence theorems for nonexpansive mappings in Banach spaces
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Iterative methods for strict pseudo-contractions in Hilbert spaces
• On the convergence of implicit iteration process with error for a finite family of asymptotically nonexpansive mappings
• The multiple-sets split feasibility problem and its applications for inverse problems
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• On Projection Algorithms for Solving Convex Feasibility Problems
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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