集值映射型广义Ekeland变分原理  

A Generalized Ekeland's Variational Principle for Set-valued Mappings

作　　者：成波[1,2] 刘三阳[1] 

机构地区：[1]西安电子科技大学应用数学系,西安710071 [2]安康学院数学系,陕西安康725000

出　　处：《吉林大学学报（理学版）》2009年第4期701-704,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:60574075)

摘　　要：在序拓扑向量空间中定义了集合的非线性标量化函数,并证明了它的一些性质.利用集合的非线性标量化函数,给出了关于集值映射的广义Ekeland变分原理,此变分原理是向量形式广义Ekland变分原理的推广.The nonlinear scalarization function of sets is defined in a topological vector space with a partial order structure. Some properties of the nonlinear scalarizaiton function are proved. By means of the nonlinear scalarization function, the authors have deduced a generalized Ekeland＇ s variational principle for set-valued map, which is a generalization of the vectorial form of Ekeland-type variational principle.

关 键 词：拓扑向量空间 集值映射 EKELAND变分原理 非线性标量化函数 

分 类 号：O221.2[理学—运筹学与控制论]