Strong convergence by a hybrid algorithm for finding a common fixed point of Lipschitz pseudocontraction and strict pseudocontraction in Hilbert spaces

DOI10.1155/2011/530683zbMath1297.47088OpenAlexW1969148309WikidataQ58654273 ScholiaQ58654273MaRDI QIDQ638126

Kasamsuk Ungchittrakool

Publication date: 9 September 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/530683

zbMATH Keywords

strong convergenceHilbert spacecommon fixed pointhybrid algorithmpseudo-contractive mapping\(\kappa\)-strict pseudocontractionLipschitz pseudocontraction

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)

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An iterative shrinking metric \(f\)-projection method for finding a common fixed point of a closed and quasi-strict \(f\)-pseudocontraction and a countable family of firmly nonexpansive mappings and applications in Hilbert spaces

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