Fuzzy quasivariational inclusions in Banach spaces

摘要

The purpose of this paper is to introduce the concept of general fuzzy quasi variational inclusions and to study the existence problem and iterative approximation problem of solutions for some kinds of fuzzy quasivariational inclusions in Banach spaces. By using the resolvent operator technique, Nadler’s fixed point theorem and new analytic technique, some existence theorems of solutions and iterative approximation for solving this kind of fuzzy quasivariational inclusions are established. The results presented in this paper are new, which generalize, improve and unify a number of recent results.