Iterative approximation of fixed points for almost asymptotically nonexpansive type mappings in Banach spaces

DOI10.1007/BF02435583zbMath1076.47058OpenAlexW2313084605MaRDI QIDQ1890339

Luchuan Zeng

Publication date: 3 January 2005

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02435583

zbMATH Keywords

fixed pointIshikawa iterationsMann iterationsalmost asymptotically nonexpansive operator

Mathematics Subject Classification ID

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

Cites Work

• Iterative construction of fixed points of asymptotically nonexpansive mappings
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• Extension problems for accretive sets in Banach spaces
• A note on approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces
• Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type
• Inequalities in Banach spaces with applications
• Existence and convergence for fixed points of mappings of asymptotically nonexpansive type
• Asymptotically nonexpansive semigroups in Banach spaces
• Some problems and results in the study of nonlinear analysis
• Convergence theorems of the sequence of iterates for asymptotically demicontractive and hemicontractive mappings
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• On the iterative approximation problem of fixed points for asymptotically nonexpansive type mappings in Banach spaces

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