A generalization and improvement of Chidume theorems for total asymptotically nonexpansive mappings in Banach spaces

DOI10.1186/1029-242X-2012-37zbMath1273.47108OpenAlexW2113750553WikidataQ59290426 ScholiaQ59290426MaRDI QIDQ368016

Chi Kin Chan, Jong Kyu Kim, H. W. Joseph Lee, Shi Sheng Zhang

Publication date: 17 September 2013

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-37

zbMATH Keywords

asymptotically nonexpansive mappingtotal asymptotically nonexpansive mappingasymptotically quasi-nonexpansive mappingasymptotically nonexpansive in the intermediate sensetotal asymptotically quasi-nonexpansive mapping

Mathematics Subject Classification ID

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

Related Items

Total quasi-\(\phi\)-asymptotically nonexpansive semigroups and strong convergence theorems in Banach spaces ⋮ Strong convergence for total quasi-\(\phi\)-asymptotically nonexpansive semigroups in Banach spaces

Cites Work

• Convergence of Ishikawa iterates of quasi-nonexpansive mappings
• Iterative construction of fixed points of asymptotically nonexpansive mappings
• Approximation of common fixed points for finite families of nonself asymptotically nonexpansive mappings in Banach spaces
• On Reich's strong convergence theorem for asymptotically nonexpansive mappings in Banach spaces
• Approximation of common fixed points for finite families of total asymptotically nonexpansive mappings
• Strong convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings.
• Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type
• Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings
• On the convergence of implicit iteration process with error for a finite family of asymptotically nonexpansive mappings
• Convergence criteria of modified Noor iterations with errors for asymptotically nonexpansive mappings
• Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces

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