Weak convergence theorem for Lipschitzian pseudocontraction semigroups in Banach spaces

DOI10.1007/S10114-010-7610-0zbMath1252.47063OpenAlexW2132412103MaRDI QIDQ5962270

Shi Sheng Zhang

Publication date: 21 September 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-7610-0

zbMATH Keywords

common fixed pointOpial conditiondemi-closed principleimplicit iteration processLipschitzian pseudocontraction semigroupstrongly pseudocontractive mapping

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10)

Related Items (4)

Unnamed Item ⋮ On the convergence theorems for a countable family of Lipschitzian pseudocontraction mappings in Banach spaces ⋮ Strong convergence theorems for Lipschitzian demicontraction semigroups in Banach spaces ⋮ Some fixed point theorems for expansion onto mappings on cone metric spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps
• A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces
• Zeros of accretive operators
• Convergence theorems of common fixed points for a finite family of Lipschitz pseudocontractions in Banach spaces
• Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups
• Convergence theorems for implicit iteration process for a finite family of continuous pseudocontractive mappings
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• Strong asymptotic behavior of almost-orbits of nonlinear semigroups

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