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| 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. |
| 关键词: 随机不动点 稳定性 本质 |
| DOI： |
| 分类号:O177.91 |
| 基金项目:Supported by Guangxi Natural Science Foundation (2012GXNSFBA053013); Doctoral Research Fund of Guilin University of Technology. |
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| ON STABILITY OF RANDOM FIXED POINTS WITH SET-VALUED MAPPINGS |
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SONG Qi-qing
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| Abstract: |
| 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. |
| Key words: random fixed point stability essential |
