Some new Farkas-type results for inequality systems with DC functions
Some new Farkas-type results for inequality systems with DC functions
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DOI：
10.1007/s10898-007-9159-8
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发表时间：
2007-12
影响因子：
1.8
通讯作者：
R. Boț;Ioan Bogdan Hodrea;G. Wanka
中科院分区：
文献类型：
--
作者：
R. Boț;Ioan Bogdan Hodrea;G. Wanka
我们提出了涉及有限多个 DC 函数的不等式系统的一些 Farkas 型结果。为此，我们使用所谓的 Fenchel-Lagrange 对偶方法应用于具有 DC 目标函数和 DC 不等式约束的优化问题。最近获得的一些法卡斯型结果被重新发现为我们主要结果的特例。
We present some Farkas-type results for inequality systems involving finitely many DC functions. To this end we use the so-called Fenchel-Lagrange duality approach applied to an optimization problem with DC objective function and DC inequality constraints. Some recently obtained Farkas-type results are rediscovered as special cases of our main result.