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

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.