Multivalued Variational Inequalities with D J -Pseudomonotone Mappings in Reflexive Banach Spaces

Abstract

This paper is concerned with the study of a class of variational inequalities with multivalued $D_J$-pseudomonotone mappings in reflexive Banach spaces by using the $D_J$-antiresolvent technique. An application to the multivalued nonlinear $D_J$-complementarity problem is also presented. The results coincide with the corresponding results announced by many others for the gradient state.