Iterative algorithm for generalized quasi-variational-like inclusions with fuzzy mappings in Banach spaces

摘要

In this paper, we introduce and study a class of generalized quasi-variational-like inclusions with fuzzy mappings in real Banach spaces and show its equivalence with a class of relations. Using this equivalence, we suggest and analyze an iterative algorithm for finding the approximate solution of this class of inclusions. Further, we prove the existence of solution of this class of inclusions and discuss the convergence criteria of iterative sequences generated by the iterative algorithm.