Generalized Yosida approximation operator with an application to a system of Yosida inclusions
Journal of Nonlinear Functional Analysis · 2018
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.