Necessary optimality conditions for a class of nonsmooth vector optimization |
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Authors: | Hui-xian Wu He-zhi Luo |
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Affiliation: | (1) College of Science, Hangzhou Dianzi University, Hangzhou, 310018, China;(2) Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, 310032, China |
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Abstract: | The Kuhn-Tucker type necessary conditions of weak efficiency are given for the problem of minimizing a vector function whose each component is the sum of a differentiable function and a convex function, subject 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. Supported by the National Natural Science Foundation of China (No. 70671064, No. 60673177), the Province Natural Science Foundation of Zhejiang (No.Y7080184) and the Education Department Foundation of Zhejiang Province (No. 20070306). |
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Keywords: | Vector optimization problems necessary conditions weak efficiency constraint qualifications |
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