Some convergence theorems for mappings of asymptotically quasi-nonexpansive type in Banach spaces.

DOI10.1007/BF02936186zbMath1065.47070OpenAlexW2067582494MaRDI QIDQ1432807

Yu Ying Zhou, Shi Sheng Zhang

Publication date: 22 June 2004

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

Full work available at URL: https://doi.org/10.1007/bf02936186

zbMATH Keywords

Ishikawa iterationsasymptotically quasi-nonexpansive maps

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (1)

A general iterative scheme for nonexpansive mappings and inverse-strongly monotone mappings

Cites Work

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• Convergence of Ishikawa iterates of quasi-nonexpansive mappings
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type
• Approximating the fixed points of \(\phi\)-hemicontractions by the Ishikawa iterative process with mixed errors in normed linear spaces.
• Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings
• Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Iterative sequences for asymptotically quasi-nonexpansive mappings.
• Iterative sequences for asymptotically quasi-nonexpansive mappings with error member

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