On the Existence and Iterative Approximation Problems of Solutions for Set-Valued Variational Inclusions in Banach Spaces

The purpose of this paper is to introduce and study a class of set-valued variational inclusions in Banach spaces. By using Michael’s selection theorem and Nadler’s theorem, some existence theorems and iterative algorithms for solving this kind of set-valued variational inclusion in Banach spaces are established and suggested.