摘要
在本文中.我们给出包含一个集合的某种星形集的刻划及其性质.然后利用这些刻划和性质讨论凸距离空间的星形子集上非扩张型映射的不动点的存在问题,推广了丁协平、Beg和Azam的某些最近结果.最后还给出一个例子说明以上推广是本质上的推广.
In this paper,we give some characteristic properties of star-shaped sets which include a subset of a convex metric space. Using the characteristic properties,we discuss the existence problems of fixed points of nonexpansive type mappings on star-shaped subsets of convex metric spaces, which generalize the recent results obtained by Ding Xie-ping, Beg and Azam. Finally, we give an example which shows that our generalizations are essential.
出处
《应用数学和力学》
EI
CSCD
北大核心
1992年第2期121-127,共7页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目
关键词
星形子集
不动点
非扩张映射
star-shaped set, star centre, normal structure of a star-shaped set
