广义弧连通函数的全局最优性条件  

The Global Optimality Conditions for Generalized Arcwise Connected Functions

作　　者：梁治安[1] 

机构地区：[1]上海财经大学应用数学系,上海200433

出　　处：《内蒙古大学学报（自然科学版）》2005年第6期622-626,共5页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金资助项目(10261005)

摘　　要：介绍在弧连通集S Rn上的实值函数f:S→R是弧连通函数的定义,给出相关的广义弧连通函数概念.这类函数是凸函数的推广.它们满足确定的全局极值性.反过来,在某些条件下,满足全局极值性的函数必是这些广义函数类之一.：We introduce the definition of arcwise connected function on arcwise connected set S∪→-R^n and give the related concepts of generalized arcwise connected functions, which satisfy the global optimality. And, on the other hand, under some conditions, the function with this property is among this class.

关 键 词：弧连通集 广义弧连通函数 全局极值性 

分 类 号：O221.6[理学—运筹学与控制论]