Strong convergence theorems for nonexpansive semi-groups in Banach spaces

DOI10.1007/s10483-007-1002-xzbMath1231.47060OpenAlexW2366583920MaRDI QIDQ940424

Li Yang, Shi Sheng Zhang, Jing Ai Liu

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-007-1002-x

zbMATH Keywords

common fixed pointdemi-closed principleuniformly smooth Banach spacenonexpansive semi-groupweakly continuous normalized duality mapping

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Fixed-point theorems (47H10)

Related Items

Strong convergence theorems for modifying Halpern iterations for a totally quasi-\(\phi \)-asymptotically nonexpansive multi-valued mapping in reflexive Banach spaces ⋮ An iterative method for total quasi-\(\phi\)-asymptotically nonexpansive semi-groups and generalized mixed equilibrium problems in Banach spaces ⋮ Convergence theorem for finite family of Lipschitzian demi-contractive semigroups ⋮ Large strong convergence theorems for total asymptotically strict pseudocontractive semigroup in Banach spaces ⋮ Strong and weak convergence of an implicit iterative process for pseudocontractive semigroups in Banach space ⋮ Strong convergence theorems of quasi-\(\phi\)-asymptotically nonexpansive semi-groups in Banach spaces ⋮ Strong convergence theorems for fixed points of asymptotically nonexpansive semigroups in Banach spaces ⋮ Total quasi-\(\phi\)-asymptotically nonexpansive semigroups and strong convergence theorems in Banach spaces ⋮ Explicit iterations for Lipschitzian semigroups with the Meir-Keeler type contraction in Banach spaces ⋮ Unnamed Item ⋮ Approximating fixed points for a reversible semigroup of Lipschitzian mappings in a smooth Banach space ⋮ Strong convergence theorems for a finite family of total asymptotically strict pseudocontractive semigroups in Banach spaces ⋮ Strong convergence theorems for Lipschitzian demicontraction semigroups in Banach spaces

Cites Work

• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• On Chidume's open questions and approximate solutions of multivalued strongly accretive mapping equations in Banach spaces
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Nonexpansive projections on subsets of Banach spaces
• Asymptotic behavior of contractions in Banach spaces
• An explicit construction of sunny nonexpansive retractions in Banach spaces
• Convergence theorems for sequences of nonlinear operators in Banach spaces
• Strong convergence of an iterative method for nonexpansive and accretive operators
• Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces
• On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces
• FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
• A strong convergence theorem for contraction semigroups in Banach spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item