关于集值映射的随机不动点的稳定性（英文）  

ON STABILITY OF RANDOM FIXED POINTS WITH SET-VALUED MAPPINGS

作　　者：宋奇庆[1] 

机构地区：[1]桂林理工大学理学院,广西桂林541004

出　　处：《数学杂志》2015年第1期63-68,共6页Journal of Mathematics

基　　金：Supported by Guangxi Natural Science Foundation(2012GXNSFBA053013);Doctoral Research Fund of Guilin University of Technology

摘　　要：本文研究随机集值映射不动点的稳定性.通过集值分析,得到了随机集值不动点的本质稳定集的存在性.在Baire分类意义下,大多数的随机集值映射的随机不动点都是本质稳定的.这些推广了现有文献中的相应结果.This paper studies the stability of fixed points for random set-valued mappings, Through set-valued analyses, the existence of essentially stable sets of random fixed points is es- tablished. In the sense of Baire category, each random fixed point for most of random set-valued mappings is essentially stable. These generalize some results in the corresponding references.

关 键 词：随机不动点 稳定性 本质 

分 类 号：O177.91[理学—数学]