Strong convergence theorems for common fixed points of uniformlyL-Lipschitzian pseudocontractive semi-groups

DOI10.1080/00036810601156730zbMath1133.47047OpenAlexW1986153180WikidataQ58294365 ScholiaQ58294365MaRDI QIDQ5297099

Charles E. Chidume, Habtu Zegeye

Publication date: 18 July 2007

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810601156730

zbMATH Keywords

nonexpansive mappingstrongly continuous semigroupcommon fixed pointiteration procedures

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Strong convergence theorems for fixed points of asymptotically pseudocontractive semi-groups ⋮ Strong Convergence Theorems for Continuous Semigroups of Asymptotically Nonexpansive Mappings ⋮ Strong convergence of a CQ method for \(k\)-strictly asymptotically pseudocontractive mappings ⋮ The structure of fixed-point sets of Lipschitzian type semigroups ⋮ Viscosity approximation methods for pseudo-contractive semigroups in Banach spaces ⋮ Approximations for nonlinear mappings by the hybrid method in Hilbert spaces ⋮ Convergence theorems for strongly continuous semi-groups of asymptotically nonexpansive mappings ⋮ Convergence theorems for semigroup-type families of non-self mappings

Cites Work

• On Reich's strong convergence theorems for resolvents of accretive operators
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
• Inequalities in Banach spaces with applications
• Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces
• Approximate fixed point sequences and convergence theorems for Lipschitz pseudocontractive maps
• Convergence of paths for pseudo-contractive mappings in Banach spaces
• On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces
• Iterative solution of nonlinear equations involving set-valued uniformly accretive operators.

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