Explicit averaging cyclic algorithm for common fixed points of a finite family of asymptotically strictly pseudocontractive mappings in \(q\)-uniformly smooth Banach spaces

DOI10.1186/1687-1812-2012-167zbMath1475.47097OpenAlexW2119619354WikidataQ59290927 ScholiaQ59290927MaRDI QIDQ385703

Zhiwei Xie, Ying Zhang

Publication date: 2 December 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-167

zbMATH Keywords

fixed pointsstrong convergenceweak convergence\(q\)-uniformly smooth Banach spacesasymptotically strictly pseudocontractive mappingsexplicit averaging cyclic algorithm

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed-point iterations (47J26)

Cites Work

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• Demiclosedness principle and convergence theorems for \(k\)-strictly asymptotically pseudocontractive maps
• Explicit averaging cyclic algorithm for common fixed points of a finite family of asymptotically strictly pseudocontractive maps in Banach spaces
• A hybrid iterative scheme for asymptotically \(k\)-strict pseudo-contractions in Hilbert spaces
• A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces
• Iterative approximation of fixed points of asymptotically demicontractive mappings
• Iterative methods for strict pseudo-contractions in Hilbert spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• Inequalities in Banach spaces with applications
• Convergence theorems of the sequence of iterates for asymptotically demicontractive and hemicontractive mappings

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