半序概率度量空间中压缩映射序列的重合点定理  

Coincidence Point Theorems for a Sequence of Contractive Mappings in Partially Ordered Probabilistic Metric Spaces

作　　者：毛玉丹[1] 朱传喜[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《应用数学》2015年第2期349-359,共11页Mathematica Applicata

基　　金：国家自然科学基金项目(11071108;11361042);江西省自然科学基金项目(2010GZS0147;20132BAB201001);赣鄱英才"555"工程领军人才项目资助

摘　　要：本文在概率度量空间中定义广义β-可容许映射序列这个新概念,在不同的压缩条件下,利用半序方法,得到映射序列的重合点定理,所得结论推广和改进了有关文献中的不动点定理,最后给出主要结果的一个应用.In this article, we establish the concept of a sequence of generalized β-admissi- ble mappings in partially ordered Menger PM-spaces. Using the partial order method,we get the coincidence point of a sequence of mappings under different contractive conditions. Our ample is given to show reprove some results in the corresponding literatures. Finally, an ex the validity of our results.

关 键 词：半序 概率度量空间 β-可容许映射 重合点 

分 类 号：O177.91[理学—数学] O211.3[理学—基础数学]