Some Results on the Approximation of Solutions of Variational Inequalities for Multivalued Maps on Banach Spaces

Abstract Multivalued $$*$$ ∗ -nonexpansive mappings are studied in Banach spaces. The demiclosedness principle is established. Here we focus on the problem of solving a variational inequality which defined set fixed points multivalued mapping. For this purpose, introduce two algorithms approximating unique solution inequality.