Convergence to common fixed point for generalized asymptotically nonexpansive semigroup in Banach spaces

DOI10.1155/2008/687815zbMath1177.47076OpenAlexW2063976282WikidataQ58644825 ScholiaQ58644825MaRDI QIDQ1008534

Lei Deng, Jian-Jun Liu, Ya-Li Li

Publication date: 30 March 2009

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45418

zbMATH Keywords

strong convergenceimplicit viscosity iteration

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Strong convergence of asymptotically pseudocontractive semigroup by viscosity iteration ⋮ Convergence theorem for a family of generalized asymptotically nonexpansive semigroup in Banach spaces

Cites Work

• Unnamed Item
• Convergence theorems of iterative algorithms for continuous pseudocontractive mappings
• Approximation of common fixed points for finite families of total asymptotically nonexpansive mappings
• On Reich's strong convergence theorems for resolvents of accretive operators
• On the asymptotic behavior of nonlinear semigroups and the range of accretive operators
• Viscosity approximation methods for nonexpansive mappings
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• Strong convergence theorems for nonexpansive semigroup in Banach spaces
• Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces

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