The proposed work is presented in two folds. The first aim is to deals with the new notion called generalized αiβ j-Hp(., ., ...)-accretive mappings that are the sum of two symmetric accretive mappings. It is an extension of αβ-H(., .)-accretive mapping, studied and analyzed by Kazmi [18]. We define the proximal- point mapping associated with generalized αiβ j-Hp (., .,...)-accretive mapping and demonstrate aspects on single-valued property and Lipschitz continuity. The graph convergence of generalized αiβ j-Hp(., ., ...)- accretive mapping is discussed. Second aim is to introduce and study the generalized Yosida approximation mapping and Yosida inclu- sion problem. Next, we obtain the convergence on generalized Yosida approximation mappings by using the graph convergence of generalized αiβ j-Hp(., ., ...)-accretive mappings without using the convergence of its proximal-point mapping. As an application, we consider the Yosida inclusion problem in q-uniformly smooth Banach spaces and propose an iterative scheme connected with generalized Yosida approximation mapping of generalized αiβ j-Hp(., ., ...)-accretive mapping to find a solution of Yosida inclusion problem and discuss its convergence criteria under appropriate assumptions. Some examples are constructed and demonstrate few graphics for the convergence of proximal-point mapping as well as generalized Yosida approximation mapping linked with generalized αiβ j-Hp(., ., ...)-accretive mappings.