Convergence theorem of common fixed points for Lipschitzian pseudo-contraction semi-groups in Banach spaces

DOI10.1007/s10483-009-0202-yzbMath1181.47074OpenAlexW160538844MaRDI QIDQ1016177

Shi Sheng Zhang

Publication date: 4 May 2009

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

Full work available at URL: https://doi.org/10.1007/s10483-009-0202-y

zbMATH Keywords

common fixed pointOpial conditionimplicit iteration processLipschitzian pseudo-contractive semigroupstrongly pseudo-contraction 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)

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Cites Work

• 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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