Some results on Rockafellar-type iterative algorithms for zeros of accretive operators

DOI10.1186/1029-242X-2013-255zbMath1364.47024OpenAlexW2168014298WikidataQ59300369 ScholiaQ59300369MaRDI QIDQ2637526

Yanyan Li

Publication date: 12 February 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-255

zbMATH Keywords

fixed pointsaccretive operatorresolventvariational inequalitiesnonexpansive mappingzeroscontractive mappingweakly continuous duality mappingRockafellar proximal point algorithm

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Inertial splitting algorithms for nonlinear operators of pseudocontractive and accretive types ⋮ Unnamed Item ⋮ Strong convergence of a parallel iterative algorithm in a reflexive Banach space ⋮ Strong convergence theorems for common zeros of a family of accretive operators ⋮ Proximal point algorithms for zero points of nonlinear operators ⋮ Viscosity approximation method with Meir-Keeler contractions for common zero of accretive operators in Banach spaces

Cites Work

• Halpern type proximal point algorithm of accretive operators
• Convergence analysis of a Halpern type algorithm for accretive operators
• A regularization method for the proximal point algorithm
• On iterations methods for zeros of accretive operators in Banach spaces
• Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
• Convergence of composite iterative methods for finding zeros of accretive operators
• Dual convergence theorems for the infinite products of resolvents in Banach spaces
• Produits infinis de resolvantes
• Approximating solutions of maximal monotone operators in Hilbert spaces
• A strongly convergent iterative solution of \(0 \in U(x)\) for a maximal monotone operator U in Hilbert space
• Viscosity approximation methods for a family of finite nonexpansive mappings in Banach spaces
• Iterative Algorithms for Nonlinear Operators
• NEW ITERATIVE ALGORITHMS FOR ZEROS OF ACCRETIVE OPERATORS
• On the Convergence of the Proximal Point Algorithm for Convex Minimization
• Inequalities in Banach spaces with applications
• Monotone Operators and the Proximal Point Algorithm
• Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
• Iterative solutions for zeros of accretive operators
• On the asymptotic behavior of infinite products of resolvents in Banach spaces
• Fixed points of nonexpanding maps
• Weak and strong convergence of solutions to accretive operator inclusions and applications

This page was built for publication: Some results on Rockafellar-type iterative algorithms for zeros of accretive operators