DUALITY IN VECTOR OPTIMIZATION UNDER TYPE 1 alpha-INVEXITY IN BANACH SPACES

摘要

The aim of this paper is to provide global optimality conditions and duality results for a class of nonconvex vector optimization problems posed on Banach spaces. In this paper, we introduce the concept of quasi type I alpha-invex, pseudo type I alpha-invex, quasi pseudo type I alpha-invex, and pseudo quasi type I alpha-invex functions in the setting of Banach spaces, and we consider a vector optimization problem with functions defined on Banach spaces. A few sufficient optimality conditions are given, and some results on duality are proved.