Well-posedness of Hemivariational Inequalities and Inclusion Problems
Well-posedness of Hemivariational Inequalities and Inclusion Problems
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DOI：
10.11650/tjm.54
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发表时间：
2011-01
影响因子：
0.4
通讯作者：
Yi-bin Xiao;N. Huang;M. Wong
中科院分区：
文献类型：
--
作者：
Yi-bin Xiao;N. Huang;M. Wong
本文将适定性的概念推广到半变不等式，给出了半变不等式的一些度量刻画，并给出了半变不等式在广义上强适定的一些条件。此外，我们还证明了半变分不等式的适定性等价于相应包含问题的适定性。
In the present paper, we generalize the concept of well-posedness to a hemivariational inequality, give some metric characterizations of the wellposed hemivariational inequality, and derive some conditions under which the hemivariational inequality is strongly well-posed in the generalized sense. Also, we show that the well-posedness of the hemivariational inequality is equivalent to the well-posedness of the corresponding inclusion problem.