GENERALIZED YOSIDA APPROXIMATION OPERATOR WITH AN APPLICATION TO A SYSTEM OF YOSIDA INCLUSIONS

In this article, we introduce and study a generalized Yosida approximation operator associated to H (.;.) -co-accretive mappings. We show the convergence of generalized Yosida approximation operator based on the concept of graph convergence and resolvent operator convergence. We establish a relationship between the graph convergence for H (.;.) -co-accretive operators and generalized Yosida approximation operators. Finally, the existence and uniqueness of solution of a system of generalized Yosida inclusions under some mild conditions is established in q-uniformly smooth Banach spaces.