Error bound results for convex inequality systems via conjugate duality
Error bound results for convex inequality systems via conjugate duality
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DOI：
10.1007/s11750-011-0187-7
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发表时间：
2010-07
期刊：
影响因子：
1.7
通讯作者：
R. Boț;E. R. Csetnek
中科院分区：
文献类型：
--
作者：
R. Boț;E. R. Csetnek
本文的目的是实现一些基于凸优化中的共轭对偶性的新技术，以证明凸不等式系统全局误差界的存在。首先，我们处理通过一个凸不等式描述的系统，并利用著名的标量函数将所获得的结果扩展到通过一般向量函数表示的凸不等式系统。我们还提出了第二种方法来保证后者全局误差界限的存在，同时锐化了罗宾逊的经典结果。
The aim of this paper is to implement some new techniques, based on conjugate duality in convex optimization, for proving the existence of global error bounds for convex inequality systems. First of all, we deal with systems described via one convex inequality and extend the achieved results, by making use of a celebrated scalarization function, to convex inequality systems expressed by means of a general vector function. We also propose a second approach for guaranteeing the existence of global error bounds of the latter, which meanwhile sharpens the classical result of Robinson.