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Xiao, Yibin; Huang, Nanjing

Well-posedness for a class of variational-hemivariational inequalities with perturbations. (English) Zbl 1228.49026

J. Optim. Theory Appl. 151, No. 1, 33-51 (2011).
Summary: We consider an extension of well-posedness for a minimization problem to a class of variational-hemivariational inequalities with perturbations. We establish some metric characterizations for the well-posed variational-hemivariational inequality and give some conditions under which the variational-hemivariational inequality is strongly well-posed in the generalized sense. Under some mild conditions, we also prove the equivalence between the well-posedness of variational-hemivariational inequality and the well-posedness of the corresponding inclusion problem.

Cited in 20 Documents

MSC:

49K40 Sensitivity, stability, well-posedness
49J40 Variational inequalities

Keywords:

variational-hemivariational inequality; well-posedness; Clarke’s generalized gradient; approximating sequence; inclusion problem
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\textit{Y. Xiao} and \textit{N. Huang}, J. Optim. Theory Appl. 151, No. 1, 33--51 (2011; Zbl 1228.49026)
Full Text: DOI

References:

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