On a hybrid algorithm for a family of total quasi-\(\phi\)-asymptotically nonexpansive mappings in Banach spaces

DOI10.1186/1687-1812-2012-70zbMath1460.47037OpenAlexW2170700651WikidataQ59290006 ScholiaQ59290006MaRDI QIDQ372113

Min Liu, Ping Zuo, Shi Sheng Zhang

Publication date: 11 October 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-70

zbMATH Keywords

strong convergencehybrid methodgeneralized mixed equilibrium problemsuniformly smooth Banach spacegeneralized mixed equilibrium problemKadets-Klee propertyquasi-\(\phi\)-asymptotically nonexpansive mappingtotal quasi-\(\phi\)-asymptotically nonexpansive mapping

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Strong convergence for total quasi-\(\phi\)-asymptotically nonexpansive semigroups in Banach spaces ⋮ Hybrid projection methods for a bifunction and relatively asymptotically nonexpansive mappings ⋮ Strong convergence theorems for two total quasi-\(\phi\)-asymptotically nonexpansive mappings in Banach spaces

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