Study of Generalized Vector Rotational Problem and Quadratic T~*-η-invexity

摘要

The aim of this paper is to introduce the concept of vector rotational problems, vector suplementarity problems and vector binormality problems and their generalized forms, and to study their existence theorems in ordered topological vector spaces. The concept of quadratic T~*-η-invex function and quadratic T~*-η-equiinvex function with respect to α and β is introduced. The concept of η-limiting directional binormal cones is introduced to study the generalized vector rotational problems in it.