GENERALIZED FUZZY RANDOM SET-VALUED MIXED VARIATIONAL INCLUSIONS INVOLVING RANDOM NONLINEAR (Aω,ηω )-ACCRETIVE MAPPINGS IN BANACH SPACES

The main purpose of this paper is to introduce and study a new class of random generalized fuzzy set-valued mixed variational inclusions involving random nonlinear (Aω,ηω)-accretive mappings in Banach Spaces. By using the random resolvent operator associated with random nonlinear (Aω,ηω)-accretive mappings, an existence theorem of solutions for this kind of random generalized fuzzy set-valued mixed variational inclusions is established and a new iterative algorithm with an random error is suggested and discussed. The results presented in this paper generalize, improve, and unify some recent results in this field.