Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings

DOI10.1016/S0895-7177(00)00199-0zbMath0971.47038OpenAlexW2077224003MaRDI QIDQ5927952

Micah Okwuchukwu Osilike, S. C. Aniagbosor

Publication date: 25 March 2001

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(00)00199-0

zbMATH Keywords

asymptotically nonexpansive mappingiterative approximation of fixed pointsOpial's conditionuniformly convex Banach space

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Cites Work

• Iterative construction of fixed points of asymptotically nonexpansive mappings
• Ishikawa and Mann iterative processes with error for nonlinear strongly accretive operator equations
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Fixed point iterations for certain nonlinear mappings
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Mann and Ishikawa iterations with errors for asymptotically nonexpansive mappings
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Unnamed Item

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