Regularized algorithms for hierarchical fixed-point problems

DOI10.1016/j.na.2011.07.007zbMath1242.47051OpenAlexW2033632387MaRDI QIDQ640212

Yonghong Yao, Ru Dong Chen

Publication date: 17 October 2011

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.2011.07.007

zbMATH Keywords

strong convergencevariational inequalitynonexpansive maphierarchical fixed pointregularized algorithm

Mathematics Subject Classification ID

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

Strong convergence theorems of quasi-\(\phi\)-asymptotically nonexpansive semi-groups in Banach spaces ⋮ Total quasi-\(\phi\)-asymptotically nonexpansive semigroups and strong convergence theorems in Banach spaces ⋮ Iterative algorithm for common fixed points of infinite family of nonexpansive mappings in Banach spaces ⋮ On best proximity points for pseudocontractions in the intermediate sense for non-cyclic and cyclic self-mappings in metric spaces ⋮ The common solution for a generalized equilibrium problem, a variational inequality problem and a hierarchical fixed point problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Robustness of Mann's algorithm for nonexpansive mappings
• On Mann iteration in Hilbert spaces
• Iterative methods for the computation of fixed points of demicontractive mappings
• On the regularity condition in a convex feasibility problem
• Hybrid methods for a class of monotone variational inequalities
• On a two-step algorithm for hierarchical fixed point problems and variational inequalities
• On the Mann iteration process in a Hilbert space
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Schemes for finding minimum-norm solutions of variational inequalities
• On the Mann-type iteration and the convex feasibility problem
• Convergence theorem for equilibrium problems and fixed point problems of infinite family of nonexpansive mappings
• Convexly constrained linear inverse problems: iterative least-squares and regularization
• Approximating fixed points by ishikawa iterates
• A note on Mann iteration for quasi-nonexpansive mappings
• Approximating Fixed Points of Nonexpansive Mappings
• Hybrid Steepest Descent Method for Variational Inequality Problem over the Fixed Point Set of Certain Quasi-nonexpansive Mappings
• Proximal Point Algorithm Controlled by a Slowly Vanishing Term: Applications to Hierarchical Minimization
• ON AN IMPLICIT HIERARCHICAL FIXED POINT APPROACH TO VARIATIONAL INEQUALITIES
• Weak and strong convergence of Krasnoselski–Mann iteration for hierarchical fixed point problems
• Krasnoselski–Mann iteration for hierarchical fixed-point problems
• Strong convergence to common fixed points of infinite nonexpansive mappings and applications

This page was built for publication: Regularized algorithms for hierarchical fixed-point problems