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Well-posedness of hemivariational inequalities and inclusion problems. (English) Zbl 1239.49013

Summary: We generalize the concept of well-posedness to a hemivariational inequality, give some metric characterizations of the well-posed hemivariational inequality, and derive some conditions under which the hemivariational inequality is strongly well-posed in generalized sense. Also, we show that the well-posedness of the hemivariational inequality is equivalent to the well-posedness of the corresponding inclusion problem.

MSC:

49J40 Variational inequalities
49K40 Sensitivity, stability, well-posedness
90C31 Sensitivity, stability, parametric optimization
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