Metric characterizations for well-posedness of split hemivariational inequalities
Abstract In this paper, we generalize the concept of well-posedness to a class of split hemivariational inequalities. By imposing very mild assumptions on involved operators, we establish some metric characterizations of the well-posedness for the split hemivariational inequality. The obtained resul...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-07-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1761-4 |
| _version_ | 1818134408252620800 |
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| author | Qiao-yuan Shu Rong Hu Yi-bin Xiao |
| author_facet | Qiao-yuan Shu Rong Hu Yi-bin Xiao |
| author_sort | Qiao-yuan Shu |
| collection | DOAJ |
| description | Abstract In this paper, we generalize the concept of well-posedness to a class of split hemivariational inequalities. By imposing very mild assumptions on involved operators, we establish some metric characterizations of the well-posedness for the split hemivariational inequality. The obtained results generalize some related theorems on well-posedness for hemivariational inequalities and variational inequalities in the literature. |
| first_indexed | 2024-12-11T09:08:08Z |
| format | Article |
| id | doaj.art-c3cf738a37814d3996fbf02256a277fa |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-11T09:08:08Z |
| publishDate | 2018-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-c3cf738a37814d3996fbf02256a277fa2022-12-22T01:13:34ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-07-012018111710.1186/s13660-018-1761-4Metric characterizations for well-posedness of split hemivariational inequalitiesQiao-yuan Shu0Rong Hu1Yi-bin Xiao2School of Mathematics and Information Engineering, Chongqing University of EducationSchool of Mathematical Sciences, University of Electronic Science and Technology of ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of ChinaAbstract In this paper, we generalize the concept of well-posedness to a class of split hemivariational inequalities. By imposing very mild assumptions on involved operators, we establish some metric characterizations of the well-posedness for the split hemivariational inequality. The obtained results generalize some related theorems on well-posedness for hemivariational inequalities and variational inequalities in the literature.http://link.springer.com/article/10.1186/s13660-018-1761-4Split hemivariational inequalityMonotone operatorHemicontinuityMetric characterization |
| spellingShingle | Qiao-yuan Shu Rong Hu Yi-bin Xiao Metric characterizations for well-posedness of split hemivariational inequalities Journal of Inequalities and Applications Split hemivariational inequality Monotone operator Hemicontinuity Metric characterization |
| title | Metric characterizations for well-posedness of split hemivariational inequalities |
| title_full | Metric characterizations for well-posedness of split hemivariational inequalities |
| title_fullStr | Metric characterizations for well-posedness of split hemivariational inequalities |
| title_full_unstemmed | Metric characterizations for well-posedness of split hemivariational inequalities |
| title_short | Metric characterizations for well-posedness of split hemivariational inequalities |
| title_sort | metric characterizations for well posedness of split hemivariational inequalities |
| topic | Split hemivariational inequality Monotone operator Hemicontinuity Metric characterization |
| url | http://link.springer.com/article/10.1186/s13660-018-1761-4 |
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