广义扰动映射的上导数  

On Coderivatives of the Generalized Perturbation Maps

作　　者：薛小维[1] 李声杰[1] 

机构地区：[1]重庆大学数理学院信息与计算科学系,重庆400044

出　　处：《应用泛函分析学报》2011年第1期73-77,共5页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(10871216;60574073);重庆市自然基金(2007BB6117)

摘　　要：主要讨论了两集值映射和的上导数.在比标准约束品性弱的条件下得到了两个集值映射和的上导数与两集值映射上导数的和之间的包含关系,并将此结论用于讨论广义扰动映射的上导数,得到广义扰动映射的上导数的上界估计.The coderivatives of the sums of two set-valued maps are discussed. Under some mild conditions which are weaker than the normal constraint qualification, the inclusion relations between coderivatives of the sum for two set-valued maps and the sum of coderivatives of two setvalued maps are obtained. By using the calculus rules, the upper estimate for coderivatives of generalized perturbation maps are obtaind.

关 键 词：集值映射 法锥 上导数 广义扰动映射 

分 类 号：O224[理学—运筹学与控制论]