Generalized \(\alpha\)-nonexpansive mappings in Banach spaces

DOI10.1186/s13663-017-0597-9zbMath1461.47027OpenAlexW2590216466WikidataQ59602957 ScholiaQ59602957MaRDI QIDQ2012285

Rahul Shukla, Rajendra Pant, Manuel de la Sen

Publication date: 28 July 2017

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

Full work available at URL: https://doi.org/10.1186/s13663-017-0597-9

zbMATH Keywords

strong convergenceweak convergencenonexpansive mappingMann iterationOpial propertycondition (C)\(\alpha\)-nonexpansive mappinggeneralized \(\alpha\)-nonexpansive mapping

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Fixed-point iterations (47J26)

Related Items

Nonexpansive Mappings, Their Extensions, and Generalizations in Banach Spaces, Common fixed points approximation of two generalized alpha nonexpansive mappings in partially ordered uniformly convex Banach space, Convergence analysis of an accelerated iteration for monotone generalized \(\alpha\)-nonexpansive mappings with a partial order, Monotone generalized \(\alpha \)-nonexpansive mappings on \(CAT_p (0)\) spaces, Some results on fixed point theory for a class of generalized nonexpansive mappings, Approximating Fixed Points of Suzuki $$(\alpha ,\beta )$$-Nonexpansive Mappings in Ordered Hyperbolic Metric Spaces, Suzuki-type fixed point results in Gb-metric spaces

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