Solvability of a system of generalized extended variational inequalities

Abstract

In this paper, we proposed a system of generalized extended nonlinear variational inequality problem (SGENVI) involving three different trivariate mappings and six different nonlinear mappings. We also proposed three steps relaxed parallel projection algorithm for convergence analysis of the approximate solvability of the SGENVI problem. Further, we propose relaxed parallel projection algorithm, which converges to common element of solution set of the SGENVI, and the fixed point set of three nonexpansive mappings.