On the equivalence between some kinds of implicit and explicit iterations with applications

DOI10.1186/1687-1812-2012-55zbMath1475.47049OpenAlexW2165620891WikidataQ59290237 ScholiaQ59290237MaRDI QIDQ372544

H. W. Joseph Lee, Jong Kyu Kim, Chi Kin Chan, 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/10.1186/1687-1812-2012-55

zbMATH Keywords

fixed pointnonexpansive mappingBrowder's propertyHalpern's propertyMoudafi's viscosity approximationReich's convergence theoremSuzuki's type strong convergence theoremweak contractive mappingXu's convergence theorem

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Iterative procedures involving nonlinear operators (47J25) Variational and other types of inclusions (47J22)

Cites Work

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• Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces
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• Zum Prinzip der kontraktiven Abbildung
• A strong convergence theorem for contraction semigroups in Banach spaces
• Fixed points of nonexpanding maps
• Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces
• Strong convergence to common fixed points of infinite nonexpansive mappings and applications

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