Well-Posedness for a Class of Strongly Mixed Variational-Hemivariational Inequalities with Perturbations

Lu-Chuan Ceng, Ngai-Ching Wong and Jen-Chih Yao

Journal of Applied Mathematics, 2012, vol. 2012, 1-21

Abstract:

The concept of well-posedness for a minimization problem is extended to develop the concept of well-posedness for a class of strongly mixed variational-hemivariational inequalities with perturbations which includes as a special case the class of variational-hemivariational inequalities with perturbations. We establish some metric characterizations for the well-posed strongly mixed variational-hemivariational inequality and give some conditions under which the strongly mixed variational-hemivariational inequality is strongly well-posed in the generalized sense. On the other hand, it is also proven that under some mild conditions there holds the equivalence between the well posedness for a strongly mixed variational-hemivariational inequality and the well-posedness for the corresponding inclusion problem.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:712306

DOI: 10.1155/2012/712306

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