An implicit iteration process for nonexpansive semigroups

DOI10.1016/J.NA.2011.05.090zbMath1225.47093OpenAlexW2017704916MaRDI QIDQ640137

Duong Viet Thong

Publication date: 17 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.05.090

zbMATH Keywords

strong convergenceOpial's conditioncommon fixed pointimplicit iteration processnonexpansive semigroup

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 (10)

Strong convergence theorems of quasi-\(\phi\)-asymptotically nonexpansive semi-groups in Banach spaces ⋮ Convergence theorems of common fixed points for some semigroups of nonexpansive mappings in complete CAT(0) spaces ⋮ Total quasi-\(\phi\)-asymptotically nonexpansive semigroups and strong convergence theorems in Banach spaces ⋮ Implicit Mann approximation with perturbations for nonexpansive semigroups in CAT(0) spaces ⋮ Unnamed Item ⋮ Approximating common fixed points of Lipschitzian pseudocontraction semigroups ⋮ On convergence of iteration processes for nonexpansive semigroups in uniformly convex and uniformly smooth Banach spaces ⋮ Implicit Ishikawa approximation methods for nonexpansive semigroups in CAT(0) spaces ⋮ Weak convergence theorems for strongly continuous semigroups of pseudocontractions ⋮ Approximation of common fixed points of asymptotically nonexpansive cosine family based on modified Ishikawa iterations

Cites Work

• Strong convergence theorems for nonexpansive semigroups without Bochner integrals
• Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
• Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces
• On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• A strong convergence theorem for contraction semigroups in Banach spaces

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