向量平衡问题的严格有效性  

Strict efficiency for vector equilibrium problems

作　　者：李坤琼[1] 刘双[1,2] 

机构地区：[1]重庆工业职业技术学院管理学院基础教学部,重庆401120 [2]重庆大学数学与统计学院,重庆401331

出　　处：《云南大学学报（自然科学版）》2014年第4期464-471,共8页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金(11171360);中央高校基本科研业务费(CDJXS11100027)

摘　　要：借助变分分析方法,在Asplund空间中建立了一类向量平衡问题严格有效性的必要最优性条件,并在凸性条件下,得到了该向量平衡问题严格有效性的充分最优性条件,同时利用相依导数以及极限上导数等概念,给出了相应的等价刻画.Some necessary optimality conditions for the strict efficiency of a class of vector equilibrium prob- lems on Asplund spaces were established by virtue of variational analysis approach. Moreover, some sufficient op- timality conditions were obtained under appropriate convexity assumptions. Simultaneously, some equivalent char- acterizations were also given by using the concepts of contingent derivative and limiting coderivative, and so on.

关 键 词：向量平衡问题 严格有效性 相依导数 极限上导数 

分 类 号：O211.5[理学—概率论与数理统计]