Convergence of algorithms for fixed points of generalized asymptotically quasi-\(\phi\)-nonexpansive mappings with applications

DOI10.1186/1687-1812-2012-58zbMath1475.47071OpenAlexW2138160396WikidataQ59290076 ScholiaQ59290076MaRDI QIDQ372540

Sun Young Cho, Ravi P. Agarwal, Xiaolong Qin, Kang, Shin Min

Publication date: 8 October 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-58

zbMATH Keywords

strong convergencefixed pointasymptotically nonexpansive mappingBanach spaceasymptotically quasi-\(\phi\)-nonexpansive mappinggeneralized asymptotically quasi-nonexpansive mappinggeneralized asymptotically quasi-\(\phi\)-nonexpansive mappingHalpern iterative sequenceKrasnoselski-Mann iterative sequence

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 ⋮ Some results on fixed points of asymptotically strict quasi-\(\phi\)-pseudocontractions in the intermediate sense ⋮ Hybrid projection method for a system of unrelated generalized mixed variational-like inequality problems ⋮ On generalized asymptotically quasi-\(\phi\)-nonexpansive mappings and a Ky Fan inequality ⋮ A monotone projection algorithm for fixed points of nonlinear operators ⋮ Hybrid projection methods for a bifunction and relatively asymptotically nonexpansive mappings ⋮ A strong convergence theorem for fixed points of generalized asymptotically quasi-\(\phi\)-nonexpansive mappings ⋮ On generalized quasi-\(\phi\)-nonexpansive mappings and their projection algorithms ⋮ Hybrid algorithms for equilibrium and common fixed point problems with applications ⋮ Strong convergence of approximated iterations for asymptotically pseudocontractive mappings

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