A modified Mann iteration for zero points of accretive operators

DOI10.1186/1687-1812-2013-347zbMath1476.47075OpenAlexW1996456178WikidataQ59302080 ScholiaQ59302080MaRDI QIDQ402505

Minjiang Chen, Jianmin Song

Publication date: 28 August 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-347

zbMATH Keywords

accretive operatorstrong convergencefixed pointnonexpansive mappingBanach spacezero pointmodified Mann iteration

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)

Related Items

Weak and strong convergence theorems for common zeros of accretive operators ⋮ Strong convergence of a parallel iterative algorithm in a reflexive Banach space ⋮ Some results on zero points of \(m\)-accretive operators in reflexive Banach spaces ⋮ Strong convergence theorems for common zeros of a family of accretive operators ⋮ Strong convergence of a splitting algorithm for treating monotone operators ⋮ Proximal point algorithms for zero points of nonlinear operators

Cites Work

• Unnamed Item
• Unnamed Item
• Iterative processes for common fixed points of two different families of mappings with applications
• Convergence analysis of an iterative algorithm for monotone operators
• On generalized asymptotically quasi-\(\phi\)-nonexpansive mappings and a Ky Fan inequality
• Hybrid projection algorithms for treating common fixed points of a family of demicontinuous pseudocontractions
• Iterative approximation of a zero of accretive operator in Banach space
• Approximation of fixed points of pseudocontraction semigroups based on a viscosity iterative process
• Zero theorems of accretive operators
• Approximation of a zero point of accretive operator in Banach spaces
• Convergence theorems on asymptotically pseudocontractive mappings in the intermediate sense
• Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
• An example concerning fixed points
• An iteration to a common point of solution of variational inequality and fixed point-problems in Banach spaces
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-\(\phi\)-nonexpansive mappings
• Approximation of common solutions of variational inequalities via strict pseudocontractions
• Viscosity approximation methods for fixed-points problems
• Iterative algorithms with errors for zero points of \(m\)-accretive operators
• Nonexpansive projections on subsets of Banach spaces
• Strong convergence theorems for relatively nonexpansive mappings in a Banach space
• Ishikawa-type and Mann-type iterative processes with errors for constructing solutions of nonlinear equations involving m-accretive operators in Banach spaces
• EXISTENCE AND APPROXIMATION OF SOLUTIONS OF NONLINEAR VARIATIONAL INEQUALITIES
• Nonlinear mappings of nonexpansive and accretive type in Banach spaces
• On the Maximality of Sums of Nonlinear Monotone Operators

This page was built for publication: A modified Mann iteration for zero points of accretive operators