关于随机算子若干问题的研究(英文)  

Research on some Problems for Random Operators

作　　者：朱传喜[1] 

机构地区：[1]南昌大学数学系,南昌330031

出　　处：《应用泛函分析学报》2011年第3期285-291,共7页Acta Analysis Functionalis Applicata

基　　金：Supported by the National Natural Science Foundation of China(11071108,10761007,10461007);the Provincial Natural Science Foundation of Jiangxi(2010GZS0147)

摘　　要：研究了新的随机不动点指数的计算问题,利用随机不动点指数的理论推广了著名的Amann定理.提出了随机算子的随机渐进歧点的新概念,并且研究了随机κ(ω)-集压缩算子的随机渐进歧点的一些问题,也得到了若干新的结果.In this paper, we investigate some new calculating problems of random fixed point index, and generalize the famous Amann＇s theorem by means of the theory of random fixed point index. Meanwhile, we introduce a new concept of random asymptotic ambiguous point of random operator, and investigate some problems of random asymptotic ambiguous point of random k（w）- set-contractive operator, and obtain some new results.

关 键 词：随机不动点指数 随机渐进歧点 随机固有元 

分 类 号：O177[理学—数学]