Henig Proper Efficiency for Set-valued Optimization and Vector Variational Inequality

摘要

This paper deals with Henig proper efficiency in vector optimization involving generalized cone-preinvex set-valued mapping. An important property of generalized cone-preinvex set-valued map is derived. It also discloses the closed relationships between Henig proper efficiency of generalized cone-preinvex set-valued optimization problem and Henig proper efficiency of a kind of vector variational inequality.