On a Class of T-η-Hyperinvex Function and Generalized Hyper Differential Dominated Vector Variational Inequality Problem

摘要

The purpose of this paper is to introduce the concept of T-η-hyperinvex function and the problem (GHDDVVIP). A equivalent hyper problem theorem in ordered topological vector spaces modelled in the Hilbert space H is established. An equivalence between (GDDVVIP) and T-η-invex function in the ordered topological vector spaces is studied. Also an existence theorem of T-η-hyperinvexity of a shifting function in the presence of (GHDDVVIP) by using complete hyper map in the ordered topological vector spaces is estblished.