On Cone Characterizations of Strong Efficiency in Vector Optimization Problems
TAN Shuang
Abstract：In this paper,global properly Pareto efficient point,local Pareto efficient point and the strong efficient point in vector optimization problems are characterized with the help of contingent,normal cones as well as cones of feasible directions of a set of dependency at some point. We derive two new results a-bout global properly Pareto efficient point,local Pareto efficient point with the help of cones.The existing results are perfected.At the same time,the necessary conditions for the strong effective point are given un-der the condition of non-convex hypothesis,and the sufficient and necessary condition of the strong effec-tive point is given under the convex hypothesis.
Keywords：vector optimizationproper efficiencyefficiencystrong efficiency
Publication Date：2018-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：3( 147-149 )