约束向量平衡问题的弱严格有效性  

Weak sharp efficiency for constrained vector equilibrium problems

作　　者：彭兴媛 朱胜坤[2] PENG Xing-yuan;ZHU Sheng-kun(College of Information Science and Engineering,Chengdu University,Chengdu 610106,China;College of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, China)

机构地区：[1]成都大学信息科学与工程学院,四川成都610106 [2]西南财经大学经济数学学院,四川成都611130

出　　处：《云南大学学报（自然科学版）》2018年第4期625-631,共7页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金(11601437;11526165);四川省教育厅自然科学基金(18ZB0144);成都大学校青年基金重点项目(2080516047)

摘　　要：利用集值分析与变分分析方法,在适当的约束品性条件下,建立了带等式与不等式约束的向量平衡问题弱严格有效性的必要最优性条件.同时,在凸性以及仿射性假设条件下,进一步建立了弱严格有效性的充分最优性条件并给出了相应的等价刻画.By applying the set-valued analysis and variational analysis methods, some necessary optimality conditions for the weak sharp efficiency of a vector equilibrium problem with equality and inequality constraints were established under an appropriate constraint qualification.Simultaneously, by employing the convexity and affineness conditions, some sufficient optimality conditions were further obtained and corresponding equivalent characterizations for the weak sharp efficiency were also given.

关 键 词：向量平衡问题 弱严格有效性 约束品性 最优性条件 次微分 

分 类 号：O221.6[理学—运筹学与控制论]