Journal of Applied & Computational Mathematics

A General System of Regularized Non-convex Variational Inequalities

Abstract

Lee BS and Salahuddin S

In this communication, we introduced a general system of regularized non-convex variational inequalities (GSRNVI) and established an equivalence between this system and fixed point problems. By using this equivalence we define a projection iterative algorithm for solving GSRNVI, we also proved existence and uniqueness of GSRNVI. The convergence analysis of the suggested iterative algorithm is studied.