Convergence theorems on an implicit iterative process for approximating common fixed points of finite strictly pseudocontractive mappings

DOI10.1007/S12190-008-0152-2zbMath1222.47102OpenAlexW2082572608MaRDI QIDQ1032568

Songnian He, Zhiming Li, Jing Zhao

Publication date: 26 October 2009

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-008-0152-2

zbMATH Keywords

fixed pointstrictly pseudocontractive mappingconvergence theorem

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 (1)

Convergence of a generalized iteration process for two finite families of Lipschitzian pseudocontractive mappings

Cites Work

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• Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps
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• Comments on two fixed point iteration methods
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• Convergence criteria of iterative methods based on Landweber iteration for solving nonlinear problems
• Iterative methods for strict pseudo-contractions in Hilbert spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• Convergence theorems for implicit iteration process for a finite family of continuous pseudocontractive mappings
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• The Solution by Iteration of Nonlinear Equations in Hilbert Spaces
• Demiclosedness principle and convergence theorems for strictly pseudocontractive mappings of Browder-Petryshyn type

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