System of Generalized Nonlinear Mixed Variational Inclusions Involving Relaxed Cocoercive Mappings in Hilbert Spaces

Abstract

Abstract. We considered a new system of generalized nonlinear mixed variational inclusions in Hilbert spaces and define an iterative method for finding the approximate solutions of this class of system of generalized nonlinear mixed variational inclusions. We also established that the approximate solutions obtained by our algorithm converges to the exact solutions of a new system of generalized nonlinear mixed variational inclusions.