In this study, we introduce the concept of the graph convergence for Bn-co-monotone mappings in Banach spaces and establish an equivalence between the graph convergence and resolvent operators convergence for the Bn-co-monotone operator sequence. Further, as an application, we propose an iterative algorithm for solving a class of variational inclusions in the framework of real q-uniformly smooth Banach spaces. We prove the existence and uniqueness of the solutions for the variational inclusion and convergence of iterative sequence obtained by the iterative algorithm under appropriate convergence criteria. Our work can be viewed as incorporating some existing results as special cases. Four examples are constructed using MATLAB 2015a to illustrate some of the concepts and convergence behavior used in the article.
Gupta et al. (Sun,) studied this question.