Tikhonov regularization methods for inverse variational inequalities

Tikhonov regularization methods for inverse variational inequalities
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反变分不等式的吉洪诺夫正则化方法

DOI:
10.1007/s11590-013-0643-4
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发表时间:
2014-03
影响因子:
1.6
通讯作者:
Xue-ping Luo
Xue-ping Luo
中科院分区:
数学4区
文献类型:
--
作者:
Xue-ping Luo

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本文研究了逆变分不等式的Tikhonov正则化方法。给出了一个较弱的正则化逆变分不等式解集非空有界的条件。进一步,建立了正则化逆变分不等式解集的扰动分析。作为应用,我们证明了正则化的逆变分不等式的解在一个较弱的条件下形成D-间隙函数的极小化序列。
The purpose of this paper is to study Tikhonov regularization methods for inverse variational inequalities. A rather weak coercivity condition is given which guarantees that the solution set of regularized inverse variational inequality is nonempty and bounded. Moreover, the perturbation analysis for the solution set of regularized inverse variational inequality is established. As an application, we show that solutions of regularized inverse variational inequalities form a minimizing sequence of the D-gap function under a mild condition.
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