摘要
Hiks和Rhoades在对称空间中建立了公共不动点定理,并证明了概率度量结构包含一个相容对称.通过建立 对称空间中的反交换映射,给出了对称空间中一类非压缩映象的公共不动点定理.作为应用,我们给出了概率度量空 间中的一个新的不动点定理.
Hicks and Rhoades established some common fixed point theorems in symmetric spaces and proved that very general probabilistic structures admit a compatible symmetric The purpose of this paper is to give some common fixed points theorems for converse commuting selfmaps in symmetric spaces without contractive conditions. As an application, we obtain a new fixed point theorem in probabilistic spaces.
出处
《西南民族大学学报（自然科学版）》
CAS
2005年第1期13-16,共4页
Journal of Southwest Minzu University(Natural Science Edition)
关键词
公共不动点
对称空间
反交换映射
概率度量空间
common fixed point
symmetric space
converse commuting selfmap
probabilistic space
