Abstract
In this paper, we introduce and study a generalized Yosida approximation operator associated to H(center dot, center dot)-co-accretive operator and discuss some of its properties. Using the concept of graph convergence and resolvent operator, we establish the convergence for generalized Yosida approximation operator. Also, we show an equivalence between graph convergence for H(center dot, center dot)-co-accretive operator and generalized Yosida approximation operator. Furthermore, we suggest an iterative algorithm to solve a Yosida inclusion problem under some mild conditions in quniformly smooth Banach space and discuss the convergence and uniqueness of the solution.