Well-Posedness for a Class of Strongly Mixed Variational-Hemivariational Inequalities with Perturbations
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 perturba...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/712306 |
| Summary: | 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. |
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| ISSN: | 1110-757X 1687-0042 |