Strong Convergence of New Algorithm for Monotone Operator in Banach Spaces

DOI10.1080/01630563.2019.1606825OpenAlexW2940532307WikidataQ128023637 ScholiaQ128023637MaRDI QIDQ5378403

Yan Tang

Publication date: 12 June 2019

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2019.1606825

zbMATH Keywords

strong convergenceapproximatingequilibrium problemmonotone mappingszero point

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Operator spaces (= matricially normed spaces) (47L25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strong convergence theorems for zeros of bounded maximal monotone nonlinear operators
• Strong convergence theorems on an iterative method for a family of finite nonexpansive mappings
• Strong convergence theorems for maximal monotone mappings in Banach spaces
• On Reich's strong convergence theorems for resolvents of accretive operators
• The range of sums of accretive and monotone operators
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• An iterative approach to quadratic optimization
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Viscosity approximation methods for fixed-points problems
• An algorithm for a common minimum-norm zero of a finite family of monotone mappings in Banach spaces
• Iterative algorithms with errors for zero points of \(m\)-accretive operators
• Strong convergence of a splitting algorithm for treating monotone operators
• On the projection methods for fixed point problems
• Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
• Iterative Approximation of Fixed Points of Lipschitzian Strictly Pseudo-Contractive Mappings
• Iterative solutions of nonlinear accretive operator equations in arbitrary Banach spaces
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• A Krasnoselskii-type algorithm for approximating solutions of variational inequality problems and convex feasibility problems
• A Krasnoselskii-type algorithm for approximating zeros of monotone maps in Banach spaces with applications
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• Approximate analytical solution of the nonlinear system of differential equations having asymptotically stable equilibrium
• Nonlinear mappings of nonexpansive and accretive type in Banach spaces
• On the Maximality of Sums of Nonlinear Monotone Operators
• Combining The Proximal Algorithm And Tikhonov Regularization

This page was built for publication: Strong Convergence of New Algorithm for Monotone Operator in Banach Spaces