Generalized system of relaxed cocoercive variational inequalities governed by nonexpansive mappings

Abstract

Abstract The objective of this paper is to study the generalized systems of relaxed cocoercive variational inequalities associated with six nonlinear operators. We proposed three steps explicit iterative methods involving projection operators and give the equivalent fixed point problem of the generalized systems of relaxed cocoercive variational inequalities. This fixed point problem suggests to us the three steps explicit iterative algorithms to obtain an approximate solution of the system under consideration. Strong convergence results are obtained.