非紧凸集的相交定理和极大极小原理  

INTERSECTION THEOREMS AND MINIMAX THEOREMS FOR NON-COMPACT CONVEX SETS

作　　者：向淑文 

机构地区：[1]贵州师大数学系

出　　处：《贵州科学》1991年第2期95-101,共7页Guizhou Science

基　　金：贵州省自然科学基金

摘　　要：本文得到了两个新的相交定理,这两个结果以原有许多定理为特例,作为应用,我们给出了两个集值映象的重合定理和两个推广了的极大极小原理。In this paper two further generlizations of the previous ones of the well-known intersection theorems concerning with convex sections are obtained. As direct applications,we formulate generlizations of the coincidence theorem for set-valued maps and the minimax theorem by applying these two new results in this paper.

关 键 词：非紧凸集 相交定理 极大极小原理 

分 类 号：O177.3[理学—数学]