logo_acta

Acta Mathematica Vietnamica

An Extragradient Method for Finding Minimum-Norm Solution of the Split Equilibrium Problem

icon-email Tran Viet Anh

Abstract

The purpose of this paper is to find minimum-norm solutions of the split equilibrium problem. This problem is motivated by the least-squares solution to the constrained linear inverse problem. By using the extragradient method, we derive the strong convergence of an iterative algorithm to the minimum-norm solution of the split equilibrium problem. As special cases, minimum-norm solutions of the split variational inequality problem and the split feasibility problem can be found.