何青海, 王立将. Banach空间上的Hölder度量次正则性的充分条件及参数估值[J]. 云南大学学报(自然科学版), 2018, 40(6): 1071-1081. doi: 10.7540/j.ynu.20180222
引用本文: 何青海, 王立将. Banach空间上的Hölder度量次正则性的充分条件及参数估值[J]. 云南大学学报(自然科学版), 2018, 40(6): 1071-1081. doi: 10.7540/j.ynu.20180222
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HE Qing-hai, WANG Li-jiang. The sufficient conditions of Hölder metric subregularity in Banach spaces and parameter estimation[J]. Journal of Yunnan University: Natural Sciences Edition, 2018, 40(6): 1071-1081. DOI: 10.7540/j.ynu.20180222
Citation: HE Qing-hai, WANG Li-jiang. The sufficient conditions of Hölder metric subregularity in Banach spaces and parameter estimation[J]. Journal of Yunnan University: Natural Sciences Edition, 2018, 40(6): 1071-1081. DOI: 10.7540/j.ynu.20180222
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Banach空间上的Hölder度量次正则性的充分条件及参数估值

The sufficient conditions of Hölder metric subregularity in Banach spaces and parameter estimation

    摘要
  • 摘要: 在一般Banach空间中,借助于Ekeland变分原理和多值映射的协导数,证明了Hölder度量次正则性的几个新的充分条件,并对相关重要参数给出估值.最后应用它们研究了不等式系统的Hölder误差界.

     

    Abstract: By Ekeland variational principle and coderivatives, we studied several sufficient conditions for Hölder metric subregularity in general Banach spaces and estimated corresponding important parameters.Finally we applied our results to research Hölder error bound for a inequality system.

     

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