Strong convergence theorems for the implicit iteration process for a finite family of hemicontractive mappings in Banach space

DOI10.1016/J.AML.2009.01.006zbMath1179.47059OpenAlexW2003609290MaRDI QIDQ845615

Xinshe Wang, Huimin He, Nenad P. Cakić, Ru Dong Chen

Publication date: 29 January 2010

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

Full work available at URL: https://doi.org/10.1016/j.aml.2009.01.006

zbMATH Keywords

strong convergencefixed pointBanach spaceimplicit iterationhemicontractive mappings

Mathematics Subject Classification ID

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

Related Items (4)

An explicit method for finding common solutions of variational inequalities and systems of equilibrium problems and fixed points of an infinite family of nonexpansive mappings ⋮ Approximating solution of \(0\in T(x)\) for an \(H\)-accretive operator in Banach spaces ⋮ Mann type implicit iteration approximation for multivalued mappings in Banach spaces ⋮ Strong convergence theorems for strongly continuous semigroups of pseudocontractions

Cites Work

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• Convergence theorems of common fixed points for a finite family of Lipschitz pseudocontractions in Banach spaces
• Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• CONVERGENCE OF IMPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
• FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
• Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces

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