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非可微多目标分式规划问题的逆对偶研究

Converse duality for non-differentiable multi-objective fractional programming
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摘要 研究了一类带有支撑函数的非可微的多目标分式规划问题,对其建立了对偶模型.利用Fritz-John型必要条件,在没有约束品性条件下给出了对偶问题的逆对偶定理. A class of non‐differentiable multi‐objective fractional programming problems with support functions are considered .And then ,dual model for the corresponding problem is formulated ,and converse duality theorems by u‐sing Fritz‐John type necessary condition are discussed ,without any constraint qualifications .
作者 卢厚佐
机构地区 重庆师范大学数学学院
出处 《江苏师范大学学报（自然科学版）》 CAS 2015年第2期43-46,共4页 Journal of Jiangsu Normal University：Natural Science Edition
基金 国家自然科学基金资助项目(11201511 11201379) 重庆市重点实验室专项基金资助项目(CSTC 2011KLORSE03)
关键词 非可微多目标分式规划 广义凸函数 逆对偶定理 non-differentiable multi-objective fractional programming generalized convex function converse duality theorem
分类号 O221.6 [理学—运筹学与控制论]
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参考文献14

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共引文献9

江苏师范大学学报（自然科学版）
2015年 第2期

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