Generalized Euler identity for subdifferentials of homogeneous functions and applications
Generalized Euler identity for subdifferentials of homogeneous functions and applications
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齐次函数次微分的广义欧拉恒等式及应用
DOI：
10.1016/j.jmaa.2007.04.008
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发表时间：
2008
影响因子：
1.3
通讯作者：
Zhou Wei
中科院分区：
文献类型：
--
作者：
Fuchun Yang;Zhou Wei
本文主要考虑定义在实Banach空间和Asplund空间上的齐次函数的次微分和基次微分，得到了广义Euler恒等式。作为应用，我们考虑了约束优化问题和Banach空间的几个几何性质。
In this paper, we mainly consider subdifferentials and basic subdifferentials of homogeneous functions defined on real Banach space and Asplund space respectively, and obtain the generalized Euler identity. As applications, we consider constrained optimization problems and several geometric properties of Banach space.