Strong and weak convergence theorems for an infinite family of Lipschitzian pseudocontraction mappings in Banach spaces

DOI10.1155/2011/409898zbMath1215.47063OpenAlexW2016300654WikidataQ58687781 ScholiaQ58687781MaRDI QIDQ539365

H. W. Joseph Lee, Xiong Rui Wang, Shi Sheng Zhang, Chi Kin Chan

Publication date: 27 May 2011

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/231749

zbMATH Keywords

Banach spacesstrong convergenceimplicit iteration processesLipschitzian pseudocontractive mappings

Mathematics Subject Classification ID

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

Cites Work

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• Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps
• Construction of common fixed points of a countable family of \(\lambda\)-demicontractive mappings in arbitrary Banach spaces
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• Convergence theorems of common fixed points for a finite family of Lipschitz pseudocontractions in Banach spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• Convergence theorems for implicit iteration process for a finite family of continuous pseudocontractive mappings
• An example on the Mann iteration method for Lipschitz pseudocontractions
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• Some problems and results in the study of nonlinear analysis

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