On Implicit Fuzzy Proximal Dynamical Systems Involving General A-Monotone Operators in Banach Spaces

In this paper, we introduce a new class of general A-monotone operators in Banach spaces, study some properties of general A-monotone operator and define a new proximal mapping associated with the general A-monotone operator. Under some suitable conditions and by using generalized proximal mapping technique, we also construct and analyze a new class of implicit fuzzy proximal dynamical systems involving general A-monotone operators in Banach spaces, and show that the trajectory of the solution of the proximal dynamical systems converges globally exponentially to the solution of the proximal dynamical systems. Furthermore, the general A-monotone operators are illustrated by some examples. The results presented in this paper improve and generalize the corresponding results of recent works.