Common fixed point theorem for noncommuting mappings satisfying a generalized asymptotically nonexpansive condition

DOI10.1007/s10496-008-0211-4zbMath1199.47226OpenAlexW2007688490MaRDI QIDQ3642067

R. Hemavathy, Palaniappan Vijayaraju

Publication date: 11 November 2009

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

Full work available at URL: https://doi.org/10.1007/s10496-008-0211-4

zbMATH Keywords

common fixed pointgeneralized asymptotically nonexpansive mapping\(C_q\)-commuting

Mathematics Subject Classification ID

Fixed-point theorems (47H10)

Cites Work

• Strong convergence theorems for accretive operators in Banach spaces
• Approximation of fixed points of uniformly \(R\)-subweakly commuting mappings
• \(C_{q}\)-commuting maps and invariant approximations
• Common fixed points and best approximation
• Noncommuting selfmaps and invariant approximations
• Common fixed point and invariant approximation results in certain metrizable topological vector spaces
• Invariant approximations, generalized \(I\)-contractions, and \(R\)-subweakly commuting maps
• Approximation of Fixed Points of Asymptotically Nonexpansive Mappings
• Fixed point theorems for asymptotically nonexpansive mappings
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Invariant approximations and \(R\)-subweakly commuting maps
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