广义V-r-Ⅰ型不变凸非光滑多目标规划问题  

Nonsmooth Multiobjective Programming under Generalized V r-Type-ⅠInvexity

作　　者：闫春雷[1] 

机构地区：[1]青岛大学数学科学学院,山东青岛266071

出　　处：《吉林大学学报（理学版）》2014年第4期687-692,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11071110)

摘　　要：通过给出非光滑多目标规划问题的广义V-r-Ⅰ型不变凸概念,在广义V-r-Ⅰ型不变凸条件下得到了可行解为有效解的Fritz-John和Karush-Kuhn-Tuker充分条件,并建立了混合型对偶问题,证明了弱对偶与严格逆对偶定理.Based on a new class of concept of generalized V-r-type-Ⅰinvexity defined for nonsmooth multiobjective programming problems,Fritz-John and Karush-Kuhn-Tuker sufficiently optimal conditions were obtained for a feasible point to be an efficient solution.Moreover,a mixed type dual was formulated and weak duality and strict converse duality theorems were proved.

关 键 词：非光滑多目标规划 有效解 广义V-r-Ⅰ型不变凸 充分最优性条件 混合型对偶 

分 类 号：O211.6[理学—概率论与数理统计]