Journal of Applied Mathematics

• J. Appl. Math.
• Volume 2012, Special Issue (2012), Article ID 804032, 18 pages.

Well-Posedness by Perturbations for Variational-Hemivariational Inequalities

Abstract

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.

Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 804032, 18 pages.

Dates
First available in Project Euclid: 3 January 2013

https://projecteuclid.org/euclid.jam/1357179985

Digital Object Identifier
doi:10.1155/2012/804032

Mathematical Reviews number (MathSciNet)
MR2959983

Zentralblatt MATH identifier
1251.49010

Citation

Lv, Shu; Xiao, Yi-bin; Liu, Zhi-bin; Li, Xue-song. Well-Posedness by Perturbations for Variational-Hemivariational Inequalities. J. Appl. Math. 2012, Special Issue (2012), Article ID 804032, 18 pages. doi:10.1155/2012/804032. https://projecteuclid.org/euclid.jam/1357179985

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