Necessary Optimality Conditions for a Class of Nonsmooth Vector Optimization  

作　　者：Hui-xian Wu He-zhi Luo 

机构地区：[1]College of Science, Hangzhou Dianzi University, Hangzhou 310018, China [2]Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310032, China

出　　处：《Acta Mathematicae Applicatae Sinica》2009年第1期87-94,共8页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.70671064,No.60673177);the Province Natural Science Foundation of Zhejiang(No.Y7080184);the Education Department Foundation of Zhejiang Province(No.20070306)

摘　　要：The Kuhn-Tucker type necessary conditions of weak efficiency are given for the problem of mini- mizing a vector function whose each component is the sum of a differentiable function and a convex function, subjcct to a set of differentiable nonlinear inequalities on a convex subset C of R^n, under the conditions similar to the Abadie constraint qualification, or the Kuhn-Tucker constraint qualification, or the Arrow-Hurwicz-Uzawa constraint qualification.The Kuhn-Tucker type necessary conditions of weak efficiency are given for the problem of mini- mizing a vector function whose each component is the sum of a differentiable function and a convex function, subjcct to a set of differentiable nonlinear inequalities on a convex subset C of R^n, under the conditions similar to the Abadie constraint qualification, or the Kuhn-Tucker constraint qualification, or the Arrow-Hurwicz-Uzawa constraint qualification.

关 键 词：Vector optimization problems necessary conditions weak efficiency constraint qualifications 

分 类 号：O224[理学—运筹学与控制论]