Convergence theorem of common fixed points for Lipschitzian pseudocontraction semigroups in Banach spaces

DOI10.1016/j.amc.2009.01.086zbMath1170.65037OpenAlexW2095227544MaRDI QIDQ1026260

Chi Kin Chan, H. W. Joseph Lee, Shi Sheng Zhang

Publication date: 24 June 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.01.086

zbMATH Keywords

normalized duality mappingcommon fixed point problemasymptotically nonexpansive semigroupconvergence in Banach spaceuniformly Gâteaux differentiability

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15)

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Cites Work

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• Strong convergence to common fixed points of families of nonexpansive mappings
• Remarks on asymptotically nonexpansive mappings
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces
• Fixed point theorems for asymptotically nonexpansive mappings
• Some problems and results in the study of nonlinear analysis
• On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces
• Convergence of paths and approximation of fixed points of asymptotically nonexpansive mappings
• A strong convergence theorem for contraction semigroups in Banach spaces

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