一类广义凸多目标规划的最优性条件及对偶理论  

Optimization Conditions and Duality Theory of a Class of Generalized Invex Multi-objective Programming

作　　者：叶提芳[1] 

机构地区：[1]武汉工业学院工商学院基础部,湖北武汉430065

出　　处：《武汉工业学院学报》2008年第3期118-120,124,共4页Journal of Wuhan Polytechnic University

摘　　要：给出了函数η-凸性、η-伪凸性及η-拟凸性的定义及它们之间的关系,并给出了这几类广义凸性在多目标规划最优性条件、对偶理论中的应用,得出了一些重要的结果。This paper gives us the defines of η-convexity,η-pseudo-convexity and η-quasi-convexity and also gives us the interrelations between them. It also researches on the optimality condition and duality of these generalized convexity in multi-objective programming and obtains some useful results.

关 键 词：η-凸 η-伪凸 η-拟凸 最优性 LAGRANGE函数 Wolfe对偶 

分 类 号：O221.6[理学—运筹学与控制论]