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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/712306 |
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| _version_ | 1832554575326871552 |
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| author | Lu-Chuan Ceng Ngai-Ching Wong Jen-Chih Yao |
| author_facet | Lu-Chuan Ceng Ngai-Ching Wong Jen-Chih Yao |
| author_sort | Lu-Chuan Ceng |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-828408bafd7b4d299577a43a562b77a0 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-828408bafd7b4d299577a43a562b77a02025-02-03T05:51:04ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/712306712306Well-Posedness for a Class of Strongly Mixed Variational-Hemivariational Inequalities with PerturbationsLu-Chuan Ceng0Ngai-Ching Wong1Jen-Chih Yao2Department of Mathematics, Shanghai Normal University, Shanghai 200234, ChinaDepartment of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung 80424, TaiwanCenter for General Education, Kaohsiung Medical University, Kaohsiung 80708, TaiwanThe 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.http://dx.doi.org/10.1155/2012/712306 |
| spellingShingle | Lu-Chuan Ceng Ngai-Ching Wong Jen-Chih Yao Well-Posedness for a Class of Strongly Mixed Variational-Hemivariational Inequalities with Perturbations Journal of Applied Mathematics |
| title | Well-Posedness for a Class of Strongly Mixed Variational-Hemivariational Inequalities with Perturbations |
| title_full | Well-Posedness for a Class of Strongly Mixed Variational-Hemivariational Inequalities with Perturbations |
| title_fullStr | Well-Posedness for a Class of Strongly Mixed Variational-Hemivariational Inequalities with Perturbations |
| title_full_unstemmed | Well-Posedness for a Class of Strongly Mixed Variational-Hemivariational Inequalities with Perturbations |
| title_short | Well-Posedness for a Class of Strongly Mixed Variational-Hemivariational Inequalities with Perturbations |
| title_sort | well posedness for a class of strongly mixed variational hemivariational inequalities with perturbations |
| url | http://dx.doi.org/10.1155/2012/712306 |
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