Completely Generalized Nonlinear Implicit Quasi-Variational Inclusions for Fuzzy Mappings

A new class of completely generalized nonlinear implicit quasi-variational inclusions involving generalized m-accretive mappings for fuzzy mappings in q -uniformly smooth Banach space are introduced and studied. By using the Nadler's theorem and the resolvent operator technique for generalized m-accretive mapping, some new iterative algorithms for finding the approximate solutions of this class of variational inclusions are constructed and the existence of solution for this kind of variational inclusion are proved. The iterative sequences generated by the algorithms converge to the exact solution of the quasi-variational inclusions.