杨富春, 何青海, 乔克林. β-光滑Banach空间中的次微分理论的3个定理[J]. 云南大学学报(自然科学版), 2002, 24(6): 401-404.
引用本文: 杨富春, 何青海, 乔克林. β-光滑Banach空间中的次微分理论的3个定理[J]. 云南大学学报(自然科学版), 2002, 24(6): 401-404.
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YANG Fu-chun, HE Qing-hai, QIAO Ke-lin. Three results of subdifferential in smooth Banach spaces[J]. Journal of Yunnan University: Natural Sciences Edition, 2002, 24(6): 401-404.
Citation: YANG Fu-chun, HE Qing-hai, QIAO Ke-lin. Three results of subdifferential in smooth Banach spaces[J]. Journal of Yunnan University: Natural Sciences Edition, 2002, 24(6): 401-404.
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β-光滑Banach空间中的次微分理论的3个定理

Three results of subdifferential in smooth Banach spaces

    摘要
  • 摘要: 在β-光滑Banach空间中,利用局部模糊和规则、多个函数多方向中值不等式,把逼近中值定理、弱单调定理推广到多个函数的情形,并给出了集值映射方口积的次微分规则.

     

    Abstract: A generalized approximate mean value theorem and a generalized weak monotonicity result are obtained by using local fuzzy sum rule and generalized multifunctional mean value inequality in β-smooth Banach spaces,so is a β-subdifferential rule of the intersection composition of two set-value maps.

     

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