Optimality Conditions and Duality in Vector-Valued Optimization
Chen Xiu · Mathematica Applicata · 2003
In the paper,we give the definition of the tangent cone properly efficient solution for a class of vector valued optimizations (VP).Under the cone directional derivative assumption,we first discuss the optimality necessary conditions for a single objective problem.Then,we define a class of tangent cone F convexity in terms of the tangent cone directional derivative,and prove the sufficient optimality conditions for (VP).Finally,we also give the duality theorems under the above generalized F convexity.