Iterations for systems of variational inequalities, fixed points of pseudocontractions and zeros of accretive operators

DOI10.2298/FIL1915769CzbMath1499.49034OpenAlexW3008376851MaRDI QIDQ5864167

Lu-Chuan Ceng, Yonghong Yao, Jen-Chih Yao

Publication date: 3 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1915769c

zbMATH Keywords

accretive operatoruniformly convex Banach spacegeneral system of variational inequalitiespseudocontractions

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10)

Cites Work

• Unnamed Item
• Hybrid viscosity CQ method for finding a common solution of a variational inequality, a general system of variational inequalities, and a fixed point problem
• Strong convergence of a proximal point algorithm with general errors
• Approach to common elements of variational inequality problems and fixed point problems via a relaxed extragradient method
• Weak convergence theorems for nonexpansive mappings in Banach spaces
• Image recovery by convex combinations of sunny nonexpansive retractions
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Zeros of accretive operators
• Viscosity approximation methods for nonexpansive mappings
• Iterative methods for pseudomonotone variational inequalities and fixed-point problems
• On solutions of a system of variational inequalities and fixed point problems in Banach spaces
• Schemes for finding minimum-norm solutions of variational inequalities
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• Viscosity approximation fixed points for nonexpansive and \(m\)-accretive operators
• Nonlinear semigroups and evolution equations
• Hybrid Viscosity Approximation Method for Zeros ofm-Accretive Operators in Banach Spaces
• Inequalities in Banach spaces with applications
• Differential Equations on Closed Subsets of a Banach Space
• Nonlinear accretive and pseudo-contractive operator equations in Banach spaces
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• Iterative algorithms for the split variational inequality and fixed point problems under nonlinear transformations
• Minimum-norm solution of variational inequality and fixed point problem in banach spaces
• Homotopy method for solving mathematical programs with bounded box-constrained variational inequalities
• Variational inequalities
• Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces
• Weak and strong convergence of solutions to accretive operator inclusions and applications