Extrapolated Sequential Constraint Method for Variational Inequality over the Intersection of Fixed-Point Sets
Optimization and Control
2020-06-30 v1
Abstract
This paper deals with the solving of variational inequality problem where the constrained set is given as the intersection of a number of fixed-point sets. To this end, we present an extrapolated sequential constraint method. At each iteration, the proposed method is updated based on the ideas of a hybrid conjugate gradient method used to accelerate the well-known hybrid steepest descent method, and an extrapolated cyclic cutter method for solving a common fixed point problem. We prove strong convergence of the method under some suitable assumptions of step-size sequences. We finally show the numerical efficiency of the proposed method compared to some existing methods.
Cite
@article{arxiv.2006.16217,
title = {Extrapolated Sequential Constraint Method for Variational Inequality over the Intersection of Fixed-Point Sets},
author = {Mootta Prangprakhon and Nimit Nimana},
journal= {arXiv preprint arXiv:2006.16217},
year = {2020}
}