| 广义dⅠ-Ⅴ-Ⅰ型一致不变凸条件下的不可微多目标规划问题 |
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| 引用本文： | 焦合华,刘三阳.广义dⅠ-Ⅴ-Ⅰ型一致不变凸条件下的不可微多目标规划问题[J].吉林大学学报(理学版),2012,50(3):391-396. |
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| 作者姓名： | 焦合华 刘三阳 |
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| 作者单位： | 1. 西安电子科技大学 理学院, 西安 710071,2. 长江师范学院 数学与计算机学院, 重庆 408100 |
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| 基金项目： | 国家自然科学基金，国家重点实验室专项科研基金 |
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| 摘 要： | 利用dⅠ 不变凸性, 提出一类新的广义dⅠ-Ⅴ-Ⅰ型一致不变凸的概念. 考虑带不等式约束的不可微多目标规划问题, 并在广义dⅠ-Ⅴ-Ⅰ型一致不变凸性条件下, 得到了一些最优性充分条件, 同时建立一个Mond-Weir型对偶, 并证明了弱对偶、 逆对偶和严格对偶定理.
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| 关 键 词： | 多目标规划 广义dⅠ 不变凸性 Ⅰ型一致不变凸 最优充分性 对偶 |
| 收稿时间： | 2011-08-12 |
Nondifferentiable Multiobjective Programming Problem under Generalized d Ⅰ - Ⅴ -Type- Ⅰ Univexity |
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| JIAO He-hua
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LIU San-yang.Nondifferentiable Multiobjective Programming Problem under Generalized d Ⅰ - Ⅴ -Type- Ⅰ Univexity[J].Journal of Jilin University: Sci Ed,2012,50(3):391-396. |
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| Authors: | JIAO He-hua LIU San-yang |
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| Institution: | 1. School of Science, Xidian University, Xi’an 710071, China;
2. College of Mathematics and Computer, Yangtze Normal University, Chongqing 408100, China |
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| Abstract: | With the help of dⅠ-invexity,a new class of concept of generalized dⅠ-Ⅴ-type-Ⅰ univexity was introduced and a nondifferentiable multiobjective programming problem with inequality constraints was considered and some sufficient optimality conditions were derived under the assumptions of generalized dⅠ-Ⅴ-type-Ⅰ univexity.Furthermore,a Mond-Weir type dual was formulated and weak duality,converse duality and strict duality theorems were proved. |
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| Keywords: | multiobjective programming generalized dⅠ-invexity type-Ⅰ univexity sufficient optimality duality |
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