Error Bound for Conic Inequality

Error Bound for Conic Inequality
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DOI:
10.1007/s10013-014-0098-7
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发表时间:
2014-10
影响因子:
0.8
通讯作者:
Xi Yin Zheng;K. Ng
Xi Yin Zheng;K. Ng
中科院分区:
--
文献类型:
--
作者:
Xi Yin Zheng;K. Ng

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本文考虑锥曲线不等式的误差界问题。利用向量值函数的次微分,给出了一个锥不等式存在局部误差界的充分条件。特别是,我们的结果扩展了Ioffe的经典结果的局部误差界向量值函数的情况下。
In this note, we consider error bound issue for conic inequalities. In terms of subdifferentials of vector-valued functions, we provide sufficient conditions for the existence of a local error bound for a conic inequality. In particular, our result extends Ioffe’s classical result on local error bounds to the vector-valued function case.