摘要
本文提出了Ｚ－Ｍ－ＰＮ空间的概念，在概率度量空间中我们得到了若干新的不动点定理。同时，一些著名的不动点定理在概率度量空间中得到了推广，诸如：Ｓｃｈａｕｄｅｒ不动点定理、郭大钧不动点定理和Ｐｅｔｒｙｓｈｙｎ不动点定理被推广到Ｍ－ＰＮ空间；Ａｌｔｍａｎ不动点定理被推广到Ｚ－Ｍ－ＰＮ空间。
In this paper,we introduce the concept of the Z-M-PN space,and obtain some new fixed point theorems in probabilistic metric spaces.Meanwhile,some famous fixed point theoerms are generalized in probabilistic metric spaces,such as fixed point theorem of Schauder,Guo's theorem and fixed point theorem of Petrysliyn are generalized in Menger PN-space.And fixed point theorem of Altman is also generalized in the Z-M-pN space.
出处
《应用数学和力学》
EI
CSCD
北大核心
1995年第2期165-171,共7页
Applied Mathematics and Mechanics
基金
江西省自然科学基金
关键词
拓扑度
概率度量空间
不动点定理
topological degree,probabilistic metric spaces,operator,compact continuous operator,z-M-pN space
