Convergent problem of iterative sequences for nonlinear mappings with error members in Banach spaces

DOI10.1007/s11766-004-0025-xzbMath1073.47531OpenAlexW1996122476MaRDI QIDQ1430644

Chang He, Yongqin Ni, Zhao-hong Sun

Publication date: 27 May 2004

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-004-0025-x

zbMATH Keywords

fixed pointasymptotically pseudocontractive mappingasymptotically expansive mappingIshikawa type 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)

Cites Work

• Unnamed Item
• An iterative process for nonlinear Lipschitzian strongly accretive mappings in \(L_ p\) spaces
• Iterative construction of fixed points of asymptotically nonexpansive mappings
• A necessary and sufficient condition for convergence of steepest descent approximation to accretive operator equations
• Ishikawa and Mann iterative processes with error for nonlinear strongly accretive operator equations
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Existence and convergence for fixed points of mappings of asymptotically nonexpansive type
• Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings
• Convergence theorems of the sequence of iterates for asymptotically demicontractive and hemicontractive mappings
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings

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