Vector Variational Inequality and Geometric Vector Optimization

Abstract

The paper presents a Vector Variational Inequality which is closely connected with the geometric vector inequality, introduced in [9]. This Vector Variational Inequality can be obtained as a specialized vector Variational Inequality treated in [1]. Relationships between the vector Variational Inequality and the geometric vector optimization are shown, concerning a necessary condition and a sufficient condition for properly efficient solutions of such special structured vector optimization problems.