STUDY OF SOME GENERALIZED h-VARIATIONAL INEQUALITY PROBLEMS IN H-PSEUDOSPACE

Abstract

Abstract. The main aim is to define a new class of generalized h-variational inequality problems and its generalized h-variational inequality problems. We define the class of h-η-invex set, h-η-invex function and H-pseudospace. Existence of the solution of the problems are established in H-pseudospace with the help of H-KKM mapping theorem and HC∗- condition of η associated with the function h.