Strong convergence to common fixed points for countable families of asymptotically nonexpansive mappings and semigroups
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Publication:610890
DOI10.1155/2010/301868zbMath1217.47132OpenAlexW1968019854WikidataQ59252925 ScholiaQ59252925MaRDI QIDQ610890
Kriengsak Wattanawitoon, Poom Kumam
Publication date: 13 December 2010
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/232873
Semigroups of nonlinear operators (47H20) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Strong convergence theorems for countable families of uniformly quasi-\(\phi\)-asymptotically nonexpansive mappings and a system of generalized mixed equilibrium problems ⋮ Convergence theorem for a family of generalized asymptotically nonexpansive semigroup in Banach spaces ⋮ The modified Mann type iterative algorithm for a countable family of totally quasi-\(\phi\)-asymptotically nonexpansive mappings by the hybrid generalized f-projection method ⋮ Approximating fixed points for a reversible semigroup of Lipschitzian mappings in a smooth Banach space
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