Explicit averaging cyclic algorithm for common fixed points of a finite family of asymptotically strictly pseudocontractive maps in Banach spaces

DOI10.1016/j.camwa.2009.01.022zbMath1186.65072OpenAlexW2084909503MaRDI QIDQ971659

B. E. Eshmatov

Publication date: 16 May 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.01.022

zbMATH Keywords

fixed pointsHilbert spacesstrictly pseudocontractive maps2-uniformly smooth Banach spaces\(k\)-strictly asymptotically pseudocontractive mapsmann iteration

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (2)

Explicit averaging cyclic algorithm for common fixed points of a finite family of asymptotically strictly pseudocontractive mappings in \(q\)-uniformly smooth Banach spaces ⋮ Some results on parallel iterative algorithms for strictly pseudocontractive mappings

Cites Work

• Unnamed Item
• Demiclosedness principle and convergence theorems for \(k\)-strictly asymptotically pseudocontractive maps
• Characteristic inequalities of uniformly convex and uniformly smooth 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
• Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings
• Convergence theorems of the sequence of iterates for asymptotically demicontractive and hemicontractive mappings

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