Iterative sequence for asymptotically demicontractive maps in Banach spaces

DOI10.1016/j.jmaa.2004.03.006zbMath1062.47070OpenAlexW2081139462MaRDI QIDQ1763818

Chika Moore, B. V. C. Nnoli

Publication date: 22 February 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.03.006

zbMATH Keywords

Banach spacesstrong convergencefixed pointuniformly \(L\)-Lipschitzianasymptotically hemicontractive maps

Mathematics Subject Classification ID

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

Related Items

Convergence theorems on asymptotically demicontractive and hemicontractive mappings in the intermediate sense ⋮ Iterative method for solving split common fixed point problem of asymptotically demicontractive mappings in Hilbert spaces ⋮ Convergence analysis of iterative sequences for a pair of mappings in Banach spaces ⋮ Some convergence theorems for contractive type mappings in \(CAT(0)\) spaces

Cites Work

• On Naimpally and Singh's open questions
• Iterative approximation of fixed points of asymptotically demicontractive mappings
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings
• Iterative sequences for asymptotically quasi-nonexpansive mappings.
• Iterative sequences for asymptotically quasi-nonexpansive mappings with error member

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