Strong convergence of approximation fixed points for nonexpansive nonself-mapping

DOI10.1155/IJMMS/2006/16470zbMath1151.47058OpenAlexW2056083389MaRDI QIDQ2469043

Zhichuan Zhu, Ru Dong Chen

Publication date: 1 February 2008

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

Full work available at URL: https://eudml.org/doc/54813

zbMATH Keywords

fixed pointnonexpansive mappinguniformly smooth Banach spaceconvergence theoremHalpern type iterationimplicit path process

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Cites Work

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• Approximating fixed points of non-self nonexpansive mappings in Banach spaces
• Viscosity approximation methods for nonexpansive mappings
• Viscosity approximation methods for nonexpansive nonself-mappings
• Strong convergence of approximants to fixed points of nonexpansive nonself-mappings in Banach spaces
• Approximating curves of nonexpansive nonself-mappings in Banach spaces

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