数学杂志2012，Vol.32Issue(2)：249-252,4.
一般化凸空间上的一个连续选择定理
A CONTINUOUS SELECTION THEOREM ON GENERALIZED CONVEX SPACE
摘要
Abstract
In this artilce,we discuss a continuous selection theorem on generalized convex space.Using the definition of (Γ)-convex set in a generalized convex space (X,D; Γ),where D is not necessarily a subset of X,we get the relationship between generalized convex spaces with D (C) X and generalized convex spaces with D (C) X,as well as the relationship between φ-map and a multimap with nonempty (Γ)-convex values.Moreover,we also get a continuous selection theorem.We extend the conception of (Γ)-convex set in the generalized convex space.关键词
一般化凸空间/Γ-凸子集/φ映射/连续选择定理Key words
generalized convex space/(Γ)-convex subset/φ map/continuous selection theorem分类
数理科学引用本文复制引用
肖刚..一般化凸空间上的一个连续选择定理[J].数学杂志,2012,32(2):249-252,4.基金项目
Supported by National Natural Science Foundation of China(60574075). （60574075）
