| KUHN-TUCKER CONDITION AND WOLFE DUALITY OF PREINVEX SET-VALUED OPTIMIZATION |
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| 作者姓名： | 盛宝怀 刘三阳 |
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| 作者单位： | Department of Mathematics Shaoxing College of Arts and Sciences，Shaoxing 312000，Zhejiang Province，P. R. China，Department of Applied Mathematics，Xidian University，Xi'an 710071，P. R. China |
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| 基金项目： | 国家自然科学基金;浙江省自然科学基金 |
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| 摘 要： | The optimality Kuhn-Tucker condition and the wolfe duality for the prein-vex set-valued optimization are investigated. Firstly, the concepts of alpha-order G-invex set and the alpha-order S-preinvex set-valued function were introduced, from which the properties of the corresponding contingent cone and the alpha-order contingent derivative were studied. Finally, the optimality Kuhn-Tucker condition and the Wolfe duality theorem for the alpha-order S-preinvex set-valued optimization were presented with the help of the alpha-order contingent derivative.
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| 关 键 词： | 最优设计 多目标规划 二重性 条件 |
| 收稿时间： | 2004-09-17 |
| 修稿时间： | 2006-08-19 |
Kuhn-tucker condition and wolfe duality of preinvex set-valued optimization |
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| Bao-huai Sheng Doctor,San-yang Liu.KUHN-TUCKER CONDITION AND WOLFE DUALITY OF PREINVEX SET-VALUED OPTIMIZATION[J].Applied Mathematics and Mechanics(English Edition),2006,27(12):1655-1664. |
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| Authors: | Bao-huai Sheng Doctor San-yang Liu |
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| Institution: | 1. Department of Mathematics, Shaoxing College of Arts and Sciences,Shaoxing,312000, Zhejiang Province, P. R. China
2. Department of Applied Mathematics, Xidian University, Xi'an,710071, P. R. China |
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| Abstract: | The optimality Kuhn-Tucker condition and the wolfe duality for the preinvex set-valued optimization are investigated. Firstly, the concepts of alpha-order G-invex set and the alpha-order S-preinvex set-valued function were introduced, from which the properties of the corresponding contingent cone and the alpha-order contingent derivative were studied. Finally, the optimality Kuhn-Tucker condition and the Wolfe duality theorem for the alpha-order S-preinvex set-valued optimization were presented with the help of the alpha-order contingent derivative. |
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| Keywords: | preinvex set-valued function contingent epiderivatives optimality conditions duality |
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