Convergence Analysis for Relaxed Extragradient Method and Variational Inequality Problem with Numerical Example

Keerati Siriyan, Atid Kangtunyakarn

Abstract

The purpose of this paper is to introduce an iterative method for finding a common element of fixed point of nonexpansive mapping which is generated by the general system of variational inequalities with inverse strongly monotone mappings and the set of the solution of variational inequality. By using our main result, we obtain the strong convergence theorem of the proposed iterative method and another corollary in a real Hilbert space.