可达到和可逼近总极小点的存在性和最优性(英文)  

Existence and optimality of accessible and approximatable global nainimizers

作　　者：姚奕荣[1] 安柳[1] 陈熙[1] 郑权[1,2] 

机构地区：[1]上海大学数学系,上海200444 [2]美国哥伦布州立大学数学系,哥伦布ga31907

出　　处：《运筹学学报》2012年第2期32-40,共9页Operations Research Transactions

基　　金：Supported by the grant of National Natural Science Foundation of China(No.10771133);Key Disciplines of Shanghai Municipality(Operations Research and Control Theory S 30104)

摘　　要：针对积分总极值,讨论并拓展了丰满集和丰满函数的概念,研究了拟上丰满和伪上丰满函数的总极值问题.在总极值的变差积分最优性条件下,证明了拟上丰满函数的可达到极小点和伪上丰满函数的可逼近极小点的存在性.The concepts of robustness of sets and functions are proposed in view of the theory of integral global minimization.These concepts are generalized,and global minimization of quasi and pseudo upper robust function is investigated in this paper. With the deviation integral optimality condition of global minimum,the existence of accessible minimizer of quasi upper functions and approximatable minimizer of pseudo upper robust function is examined.

关 键 词：总极值问题 丰满极小点 拟上半丰满 变差积分 

分 类 号：O224[理学—运筹学与控制论]