超凸空间中的选择定理及弱外超凸集的性质(英文)  

SELECTION THEOREMS IN HYPERCONVEX SPACES AND SOME PROPERTIES OF WEAKLY EXTERNALLY HYPERCONVEX SUBSETS

作　　者：杨泽恒[1] 王绍荣[1] 

机构地区：[1]大理学院数学系,云南大理671000

出　　处：《数学杂志》2006年第1期23-30,共8页Journal of Mathematics

基　　金：SupportedbyFoundationofYunnanEducationCommittee.

摘　　要：本文利用半序方法,研究具有外超凸集值的带次可加模的集值映象的保不动点集,带相同次可加模的单值选择,获得了这类单值选择的存在性及唯一性条件.且研究了弱外超凸集的一些相交性质.In this paper firstly by the method of semi-order we study the point valued selection of an externally hyperconvex subset valued multifunction with subadditive modulus, which has the same modulus and same fixed point set as the multifunction. The existence and the conditions about uniqueness of such selction are obtained. Secondly some properties about intersections of weakly externally hyperconvex subsets are studied.

关 键 词：集值映象 单值选择 次可加模 超凸空间 外超凸集 弱外超凸集 

分 类 号：O177.91[理学—数学]