An Iterative Method for a Class of Generalized Global Dynamical System Involving Fuzzy Mappings in Hilbert Spaces
This paper presents a class of generalized global dynamical system involving (H,η) set-valued monotone mappings and a set-valued function induced by a closed fuzzy mapping in Hilbert spaces. By using the resolvent operator technique and Nadler fixed-point theorem, we prove the equilibrium point set is not empty and closed. Furthermore, we develop a new iterative scheme which generates a Cauchy sequence strongly converging to an equilibrium point.
KeywordsGeneralized dynamical system Variational inequality equilibrium Fuzzy mapping Iterative method Resolvent operator
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