Implicit iterative algorithms for treating strongly continuous semigroups of Lipschitz pseudocontractions

DOI10.1016/j.aml.2010.06.008zbMath1229.47120OpenAlexW2088687457MaRDI QIDQ990801

Sun Young Cho, Xiaolong Qin

Publication date: 1 September 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.06.008

zbMATH Keywords

weak convergencefixed pointnonexpansive mappingstrongly continuous semigrouppseudocontractionreal Banach spacesimplicit iterative algorithm with errors

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 and weak convergence of an implicit iterative process for pseudocontractive semigroups in Banach space ⋮ Implicit Mann approximation with perturbations for nonexpansive semigroups in CAT(0) spaces ⋮ Convergence theorems of a new iteration for asymptotically nonexpansive mappings in Banach spaces ⋮ Viscosity approximation methods for pseudo-contractive semigroups in Banach spaces ⋮ Existence and convergence theorems concerning common fixed points of nonlinear semigroups of weak contractions ⋮ Strong convergence theorems for strongly continuous semigroups of pseudocontractions ⋮ Approximation of common fixed points of a countable family of continuous pseudocontractions in a uniformly smooth Banach space ⋮ Strong Convergence of New Iteration Process for a Strongly Continuous Semigroup of Asymptotically Pseudocontractive Mappings ⋮ Hybrid methods for common solutions in Hilbert spaces with applications ⋮ Implicit Ishikawa approximation methods for nonexpansive semigroups in CAT(0) spaces ⋮ Weak convergence theorems for strongly continuous semigroups of pseudocontractions

Cites Work

• Unnamed Item
• Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps
• Convergence theorems of common fixed points for pseudocontractive mappings
• Convergence theorem of common fixed points for Lipschitzian pseudo-contraction semi-groups in Banach spaces
• Convergence analysis of implicit iterative algorithms for asymptotically nonexpansive mappings
• Zeros of accretive operators
• Convergence theorems of common fixed points for a finite family of Lipschitz pseudocontractions in Banach spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• Convergence theorems for implicit iteration process for a finite family of continuous pseudocontractive mappings
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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