Strong convergence theorems in real reflexive Banach spaces for non-expansive mappings

DOI10.1016/J.AMC.2007.03.079zbMath1194.47086OpenAlexW2032329567MaRDI QIDQ990622

Yicheng Liu, Zhi Xiang Li

Publication date: 1 September 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.03.079

zbMATH Keywords

nonexpansive mappingreflexive Banach spacefixed point iteration

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (1)

Iterative algorithms for nonexpansive mappings

Cites Work

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• Strong convergence theorems on two iterative method for non-expansive mappings
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• Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces
• Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
• Iterative Algorithms for Nonlinear Operators
• A sufficient and necessary condition for Halpern-type strong convergence to fixed points of nonexpansive mappings
• Some problems and results in the study of nonlinear analysis
• Fixed Points by a New Iteration Method
• Fixed points of nonexpanding maps
• Mean Value Methods in Iteration

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