| 具有广义B-凸函数的非光滑多目标规划的最优性与向量Lagrange鞍点理论 |
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| 引用本文： | 周厚春,郑庆玉,朱风春. 具有广义B-凸函数的非光滑多目标规划的最优性与向量Lagrange鞍点理论[J]. 运筹学学报, 2002, 6(1): 29-35 |
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| 作者姓名： | 周厚春 郑庆玉 朱风春 |
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| 作者单位： | 1. 南京师范大学数学与计算机科学系,南京,210097
2. 临沂师范学院数学系,山东临沂,276005 |
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| 基金项目： | Department of Mathematics and Computer Science, Nanjing Normal University, Nanjing,210097,China |
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| 摘 要： | 利用广义B-凸函数等概念，讨论了一类非光滑多目标规划，给出了广义最优性充分条件和Mond-Weir型对偶结果，讨论了向量Lagrange乘子性质并证明了向量值鞍点定理。
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| 关 键 词： | 真有效解 向量值鞍点 广义B－凸函数 非光滑多目标规划 最优性 向量Lagrange鞍点理论 |
Optimality and Duality for Non-Smooth Multiple Objective Optimization with Generalized B-vex Functions |
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| HOUCHUN ZHOU QINGYU ZHENG FENGCHUN ZHU. Optimality and Duality for Non-Smooth Multiple Objective Optimization with Generalized B-vex Functions[J]. OR Transactions, 2002, 6(1): 29-35 |
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| Authors: | HOUCHUN ZHOU QINGYU ZHENG FENGCHUN ZHU |
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| Abstract: | By using generalized B-vex functions, a non-smooth multiple objective optimization problem is considered. Kuh-Tucker type sufficient optimality conditions are obtained for a feasible point to be an efficient or properly efficient solution. Mond-Weir type duality results and certain vector saddle point results are presented. |
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| Keywords: | Generalized B-vex functions Efficient solution Properly efficient solu-tion Duality Vector saddle point. |
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