Necessary and sufficient conditions for Kuhn-Tucker type optimality and for weak duality of nonsmooth programming |
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| Authors: | Ying Zhang Ying-Tao Xu |
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| Affiliation: | a Department of Mathematics, Zhejiang Normal University, Jinhua Zhejiang 321004, China
b Department of Mathematics and Computer Science, Hunan Normal University, Changsha Hunan 410081, China |
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| Abstract: | In this paper, we are concerned with a nonsmooth programming problem with inequality constraints. We obtain an optimality condition for Kuhn-Tucker points to be minimizers. Later on, we present necessary and sufficient conditions for weak duality between the primal problem and its mixed type dual, which help us to extend some earlier work from the literature. |
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| Keywords: | 90C30 90C25 |
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