Well-Posedness by Perturbations for Variational-Hemivariational Inequalities

作者:Lv, Shu; Xiao, Yi-bin*; Liu, Zhi-bin; Li, Xue-song
来源:Journal of Applied Mathematics, 2012, 804032.
DOI:10.1155/2012/804032

摘要

We generalize the concept of well-posedness by perturbations for optimization problem to a class of variational-hemivariational inequalities. We establish some metric characterizations of the well-posedness by perturbations for the variational-hemivariational inequality and prove their equivalence between the well-posedness by perturbations for the variational-hemivariational inequality and the well-posedness by perturbations for the corresponding inclusion problem.