摘要
本文研究度量空间中取非空λ外超凸值的集值映象的选择问题.利用Zorn引理,得到了一个选择定理.作为应用,得到了一个不动点定理,并且证明了有界λ超凸空间中1λLipschitzian集值映象的不动点集为λ超凸集.
The purpose of this paper is to study the selection problem of the set-valued mapping with λ- external hyperconvex values in metric spaces. By using Zorn Lemma, a new selection theorcm is obtained, and as its application, a new fixed point theorem is obtained. In addition, we prove that the set of fixed 1 point of the 1/λ-Lipschitzian set-valued mapping is a λ- hyperconvex set in bounded λ- hyperconvcx space.
出处
《数学杂志》
CSCD
北大核心
2006年第1期109-112,共4页
Journal of Mathematics
基金
云南省教育厅资助项目(02ZY071)
云南师范大学青年基金资助项目
