摘要
将非线性泛函分析中的一般定序原理推广到随机度量空间,得到了一个随机的定序原理;证明了Ekeland变分原理和Caristi不动点定理的随机推广;统一和推广了文献中的许多结果;得到了一些新的不动点定理。
The general ordering principle in nonlinear functional analysis is generalized to random metric spaces and a random ordering principle is given in this paper, the random generalizations of Ekeland's variation principle and Caristi's fixed - point theorem are proved, many previous results are unified and generalized, and some new fixed - point theorems are obtained.
出处
《空军工程大学学报(自然科学版)》
CSCD
北大核心
2005年第1期91-94,共4页
Journal of Air Force Engineering University(Natural Science Edition)
基金
空军工程大学学术基金资助