Strong convergence of a Halpern-type iteration algorithm for fixed point problems in Banach spaces

DOI10.22436/JNSA.008.05.04zbMath1381.47073OpenAlexW2187874025MaRDI QIDQ3455283

Yeong-Cheng Liou, Zhangsong Yao, Li-Jun Zhu

Publication date: 4 December 2015

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: http://www.tjnsa.com/includes/files/articles/Vol8_Iss5_489--495_Strong_convergence_of_a_Halpern-typ.pdf

zbMATH Keywords

strong convergencefixed pointvariational inequalitypseudocontractive mappingHalpern iterative algorithm

Mathematics Subject Classification ID

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

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On Browder's convergence theorem and Halpern iteration process for \(G\)-nonexpansive mappings in Hilbert spaces endowed with graphs

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