邵远夫, 李成林. Hilbert空间中函数和的次微分规则及应用[J]. 云南大学学报(自然科学版), 2004, 26(6): 475-478.
引用本文: 邵远夫, 李成林. Hilbert空间中函数和的次微分规则及应用[J]. 云南大学学报(自然科学版), 2004, 26(6): 475-478.
SHAO Yuan-fu, LI Cheng-lin. Subdifferential rule for sum of functions in Hilbert space and applications[J]. Journal of Yunnan University: Natural Sciences Edition, 2004, 26(6): 475-478.
Citation: SHAO Yuan-fu, LI Cheng-lin. Subdifferential rule for sum of functions in Hilbert space and applications[J]. Journal of Yunnan University: Natural Sciences Edition, 2004, 26(6): 475-478.

Hilbert空间中函数和的次微分规则及应用

Subdifferential rule for sum of functions in Hilbert space and applications

  • 摘要: 给出了Hilbert空间中非光滑函数和次微分的“局部”和规则,讨论了这个和规则的应用.利用“局部和规则”,讨论并得到了一类较广的复合优化问题的最优必要条件.

     

    Abstract: This paper gives the subdifferential “local” sum rule for the sum of nonsmooth functions in Hilbert space and its application. With it, it gets the necessary optimality conditions for a kind of generalized and composite optimization problem.

     

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