期刊名称：International Journal of Grid and Distributed Computing
印刷版ISSN：2005-4262
出版年度：2014
卷号：7
期号：5
页码：159-170
DOI：10.14257/ijgdc.2014.7.5.15
出版社：SERSC
摘要：purpose of this paper is concerned with a class of multi objective programming problems in which the objective functions and constrained functions are twice differentiable and containing the support functions of a compact convex set. For such mathematic programming, to deal with its dual problem, first, the concept of second order ( , ) B p r .. invexity is introduced. Further, the Mangasarian type second order dual model associated with the multi objective problem are formulated. Several weak, strong and strict converse dual theorems are established and proved by utilizing the new generalized convexity. The results extend and improve the corresponding results in the literature
关键词：Second order ; ( ; ) ; B p r ; .. ; invexity; Multiobjective Programming; Mangasarian ; type second order dual; efficient solution
