Strong convergence theorems for total quasi-\(\phi\)-asymptotically nonexpansive multi-valued mappings in Banach spaces

DOI10.1186/1687-1812-2012-63zbMath1476.47076OpenAlexW2158090994WikidataQ59290069 ScholiaQ59290069MaRDI QIDQ372533

Jinfang Tang, Shi Sheng Zhang

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/10.1186/1687-1812-2012-63

zbMATH Keywords

strong convergenceuniformly smooth Banach spaceKadec-Klee propertytotal quasi-\(\phi\)-asymptotically nonexpansive mappingstotal quasi-\(\phi\)-asymptotically nonexpansive multi-valued mappings

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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A new iterative algorithm for solving a system of generalized mixed equilibrium problems for a kind of multi-valued nonlinear mappings ⋮ An iterative procedure for solving the common solution of two total quasi-\(\phi\)-asymptotically nonexpansive multi-valued mappings in Banach spaces

Cites Work

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• Strong convergence theorems of three-step iterations for multi-valued mappings in Banach spaces

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