不可微数学规划的高阶对偶性

Higher-order V-invexity and Higher-order Duality in Non-differentiable Mathematical Programming

摘要: 文章首先旨引入了一类不可微数学规划的高队Mond-Weir对偶模型及高队V-不变凸、高阶广义V-不变的概念.然后,在Shashi K.Mishra和Norma.G.Rueda所做工作的基础由,对于上述高阶对偶模型建立了高阶V-不变凸条件下的弱对偶和强对偶理论.最后,进一步在更弱的高阶广义V-不变凸条件下的建立了Mond-Weir型对偶模型的弱对偶理论.

Abstract: In this paper,we introduce a class of Mond-weir higher-order duality in non-differentiable mathematical programming problem and the notions of higher-order V-invexity and higher-order generalized V-invexity.Moreove,based on the researches of Mishra and Rueda.the weak and strong duality theorems are established under higher-order V-invexity assumption.Finally,under the weaker higher-order generalized V-invexity,the weak and strong duality theorems are established.