Strong convergence to a fixed point of a total asymptotically nonexpansive mapping

DOI10.1186/1687-1812-2013-302zbMath1476.47092OpenAlexW2145656410WikidataQ59294816 ScholiaQ59294816MaRDI QIDQ401816

Gang Eun Kim

Publication date: 27 August 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-302

zbMATH Keywords

strong convergencefixed pointmodified Ishikawa iteration processtotal asymptotically nonexpansive mapping

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed-point iterations (47J26)

Related Items (5)

Modified Picard-Mann hybrid iteration process for total asymptotically nonexpansive mappings ⋮ Proximal point algorithms involving Cesàro type mean of total asymptotically nonexpansive mappings in CAT(0) spaces ⋮ Some Convergence Results of the $$K^{*}$$ Iteration Process in CAT(0) Spaces ⋮ A new iterative scheme for numerical reckoning fixed points of total asymptotically nonexpansive mappings ⋮ Three-step iterative algorithm for a pair of total asymptotically nonexpansive mappings in uniformly convex metric spaces

Cites Work

• Iterative construction of fixed points of asymptotically nonexpansive mappings
• Approximation of common fixed points for finite families of total asymptotically nonexpansive mappings
• A new iteration process for approximation of common fixed points for finite families of total asymptotically nonexpansive mappings
• Fixed point iterations for certain nonlinear mappings
• Approximating fixed points of total asymptotically nonexpansive mappings
• A note on segmenting Mann iterates
• Approximating Fixed Points of Nonexpansive Mappings
• Fixed Points by a New Iteration Method
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Mean Value Methods in Iteration
• Iterative sequences for asymptotically quasi-nonexpansive mappings with error member
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