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广义d_Ⅰ-Ⅴ-Ⅰ型一致不变凸条件下的不可微多目标规划问题 被引量：1

Nondifferentiable Multiobjective Programming Problem under Generalized d_Ⅰ-Ⅴ-Type-Ⅰ Univexity
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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. 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.
作者 焦合华 刘三阳
机构地区 西安电子科技大学理学院 长江师范学院数学与计算机学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2012年第3期391-396,共6页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:60974082) 国家重点实验室专项科研基金(批准号:ISN02080003)
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 multiobjective programming generalized dⅠ-invexity type-Ⅰ univexity sufficient optimality duality
分类号 O221.6 [理学—运筹学与控制论]
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参考文献13

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同被引文献12

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  • 10Sharma S, Gulati T R. Second Order Duality in Minimax Fractional Programming with Generalized Univexity [J]. J Glob Optim, 2012, 52(1): 161-169.

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吉林大学学报（理学版）
2012年 第3期

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