Modified intermixed iteration for solving the split general system of variational inequality problems and applications

DOI10.1007/s40314-021-01659-4zbMath1482.47126OpenAlexW3207032065MaRDI QIDQ2052306

Atid Kangtunyakarn, Kanyanee Saechou

Publication date: 25 November 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-021-01659-4

zbMATH Keywords

strong convergencefixed pointnonexpansive mappingssplit feasibility problemsplit common fixed point problemsplit general system of variational inequalities problem

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Approximating solutions of the generalized modification of the system of equilibrium problems and fixed point problem of a nonexpansive mapping

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An intermixed algorithm for strict pseudo-contractions in Hilbert spaces
• Convergence theorem of \(\kappa\)-strictly pseudo-contractive mapping and a modification of generalized equilibrium problems
• A new iterative algorithm for the set of fixed-point problems of nonexpansive mappings and the set of equilibrium problem and variational inequality problem
• Weak and strong convergence theorems for nonspreading-type mappings in Hilbert spaces
• Algorithms for the split variational inequality problem
• Perturbed projections and subgradient projections for the multiple-sets split feasibility problem
• Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities
• Viscosity method for hierarchical fixed point approach to variational inequalities
• A multiprojection algorithm using Bregman projections in a product space
• An iterative approach to quadratic optimization
• Viscosity approximation methods for fixed-points problems
• A general iterative method for nonexpansive mappings in Hilbert spaces
• The multiple-sets split feasibility problem and its applications for inverse problems
• Iterative oblique projection onto convex sets and the split feasibility problem
• Algorithm method for solving the split general system of variational inequalities problem and fixed point problem of nonexpansive mapping with application
• Strong convergence theorem for a class of multiple-sets split variational inequality problems in Hilbert spaces
• The split variational inequality problem and its algorithm iteration
• Variational inequalities
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Pseudomonotone Complementarity Problems and Variational Inequalities
• Mean Value Methods in Iteration