Acta Mathematica Vietnamica
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An Extragradient Method for Finding Minimum-Norm Solution of the Split Equilibrium Problem
Tran Viet Anhpp. 587-604
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.