Necessary Conditions for Second-Order Optimality of Vector Optimization of Set-Valued Maps

Abstract:

      In this paper, the concept of second--order tangent set of set-valued maps is given in the Euclidean space. Based on the second--order tangent set , the second-order tangent derivative of set--valued maps is defined. Then, two necessary conditions for second-order optimality for the weak minimal in the vector optimization of set-valued maps are obtained.