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集值映射g(x)+Ω(x)切锥、法锥表示及calmness充分条件 被引量：4

Expressions of tangent and normal cones for multifunction g(x) + Ω(x) and a sufficient condition for calmness
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摘要 给出一般集值映射M-1(.)=g(.)+Ω(.)的Clarke切锥、法锥及Bouligand切锥通过Ω(.)的相应切锥及法锥的表达式,讨论M-1的subsmooth及L-subsmooth性.最后利用它们给出集值映射M在给定点(y珋,x珋)处是calm的一个充分条件. Clarke tangent cone,normal cone and Bouligand cone for Multifunction M-1（.） = g（.） ＋ Ω（.） are obtained in forms of corresponding objects for Ω（.） and its subsmooth and L-subsmooth properties are discussed.Finally,by these results,a sufficient condition for M to be calm at（y,x） is obtained.
作者 何青海 欧阳薇
机构地区 云南大学数学系
出处 《云南大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第5期503-509,共7页 Journal of Yunnan University(Natural Sciences Edition)
基金 国家自然科学基金资助项目(10761012) 云南大学校级重点基金资助项目(2007Z005C) 云南省教育厅重点基金项目资助(08Z0002)
关键词 Clarke切锥 Clarke法锥 相依锥 L-subsmooth CALM Clarke tangent cone Clarke normal cone contingent cone L-subsmooth calm
分类号 O177.92 [理学—基础数学]
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参考文献15

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同被引文献20

  • 1IOFFE A D, OUTRATA J V. On metric and clamness qualification conditions in subdifferential calculus [ J]. Set -Valued Anal, 2008,16 (2) :199 -227.
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  • 5ZHENG Xi-yin, NG Kun-fu. Calmness for L- subsmooth multifunctions in banach spaces [J]. SIAM J Optim, 2009,19 (4) : 1648 - 1673.
  • 6ZHENG Xi-yin, NG Kun-fu. Linear regularity for a collection of suhsmooth sets in banach spaces [ J ]. SIAM J Optim, 2008, 19 ( 1 ) :62 -76.
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引证文献4

二级引证文献3

云南大学学报（自然科学版）
2010年 第5期

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