Iterative approximation of a zero of accretive operator in Banach space

DOI10.1016/j.na.2008.11.054zbMath1238.47044OpenAlexW2042272305MaRDI QIDQ419766

Yujun Liu, Xilin Shen, Ru Dong Chen

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.11.054

zbMATH Keywords

fixed pointnonexpansive mappingreflexive Banach space\(m\)-accretive operatorweakly continuous duality mapping

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10)

Related Items (11)

Some new iterative algorithms with errors for common solutions of two finite families of accretive mappings in a Banach space ⋮ Strong and weak convergence theorems for common zeros of finite accretive mappings ⋮ Convergence of a hybrid viscosity approximation method for finding zeros of \(m\)-accretive operators ⋮ A modified Mann iteration for zero points of accretive operators ⋮ Iterative approximation for a zero of accretive operator and fixed points problems in Banach space ⋮ New algorithms for a class of accretive variational inequalities in Banach spaces ⋮ Approximating solution of \(0\in T(x)\) for an \(H\)-accretive operator in Banach spaces ⋮ Iterative scheme with errors for common zeros of finite accretive mappings and nonlinear elliptic systems ⋮ Strong convergence of a modified viscosity iteration for common zeros of a finite family of accretive mappings ⋮ Viscosity iteration algorithms for nonlinear variational inclusions and fixed point problems in Banach spaces ⋮ Viscosity approximation methods for two accretive operators in Banach spaces

Cites Work

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• Approximation of a zero point of accretive operator in Banach spaces
• Viscosity approximation method for accretive operator in Banach space
• An iterative approach to quadratic optimization
• Viscosity approximation methods for nonexpansive mappings
• Viscosity approximation fixed points for nonexpansive and \(m\)-accretive operators
• Viscosity approximation of common fixed points of nonexpansive semigroups in Banach space
• Strong convergence of an iterative method for nonexpansive and accretive operators
• Iterative Algorithms for Nonlinear Operators
• Fixed point theorems for asymptotically nonexpansive mappings
• FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE

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