Strong convergence of an new iterative method for a zero of accretive operator and nonexpansive mapping

DOI10.1186/1687-1812-2012-98zbMath1418.47009OpenAlexW2159294837WikidataQ59289446 ScholiaQ59289446MaRDI QIDQ373612

Meng Wen, Chang Song Hu

Publication date: 17 October 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-98

zbMATH Keywords

iterative methodresolvent operatoraccretive operatorsMeir-Keeler contractionweakly continuous duality map

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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A regularization algorithm for zero points of accretive operators

Cites Work

• Moudafi's viscosity approximations with Meir--Keeler contractions
• Strong convergence theorems of a general iterative process for a finite family of \(\lambda \)i-strict pseudo-contractions in q-uniformly smooth Banach spaces
• Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces
• Convergence of generalized proximal point algorithms
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
• A theorem on contraction mappings
• Strong convergence of an iterative method for nonexpansive and accretive operators
• Iterative Algorithms for Nonlinear Operators
• Almost convergence of the infinite product of resolvents in Banach spaces
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