Well-Posedness by Perturbations for Variational-Hemivariational Inequalities
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 b...
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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/10.1155/2012/804032 |
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| author | Shu Lv Yi-bin Xiao Zhi-bin Liu Xue-song Li |
| author_facet | Shu Lv Yi-bin Xiao Zhi-bin Liu Xue-song Li |
| author_sort | Shu Lv |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-5cbc5773ed3a4024baab7f9a8df0fa27 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-5cbc5773ed3a4024baab7f9a8df0fa272025-08-20T02:04:59ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/804032804032Well-Posedness by Perturbations for Variational-Hemivariational InequalitiesShu Lv0Yi-bin Xiao1Zhi-bin Liu2Xue-song Li3School of Mathematical Sciences, University of Electronic Science and Technology of China, Sichuan, Chengdu 610054, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Sichuan, Chengdu 610054, ChinaDepartment of Applied Mathematics, Southwest Petroleum University, Chengdu 610500, ChinaDepartment of Mathematics, Sichuan University, Sichuan, Chengdu 610064, ChinaWe 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.http://dx.doi.org/10.1155/2012/804032 |
| spellingShingle | Shu Lv Yi-bin Xiao Zhi-bin Liu Xue-song Li Well-Posedness by Perturbations for Variational-Hemivariational Inequalities Journal of Applied Mathematics |
| title | Well-Posedness by Perturbations for Variational-Hemivariational Inequalities |
| title_full | Well-Posedness by Perturbations for Variational-Hemivariational Inequalities |
| title_fullStr | Well-Posedness by Perturbations for Variational-Hemivariational Inequalities |
| title_full_unstemmed | Well-Posedness by Perturbations for Variational-Hemivariational Inequalities |
| title_short | Well-Posedness by Perturbations for Variational-Hemivariational Inequalities |
| title_sort | well posedness by perturbations for variational hemivariational inequalities |
| url | http://dx.doi.org/10.1155/2012/804032 |
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