Explicit Iterative Algorithms to Solve Generalized System of Nonlinear Mixed Variational Inequalities

Abstract

The objective of this paper is to consider new generalized systems of nonlinear mixed variational inequalities including -distinct nonlinear relaxed cocoercive operators. We proposed -steps explicit iterative methods including resolvent operators for this considered system and present the equivalent fixed point problem of this new generalized systems of variational inequalities. This equivalent fixed point problem suggest us -steps explicit iterative algorithms to obtain approximate solution of considered system. Convergence results of -step explicit iterative algorithms are obtained.