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

Xiao, Yi-bin; Huang, Nan-jing; Wong, Mu-Ming

Taiwanese J. Math. 15, No. 3, 1261-1276 (2011).

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

Keywords:

hemivariational inequality; well-posedness; approximating sequence; inclusion problem