On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces
We introduce a new concept of Hadamard well-posedness of a generalized mixed variational inequality in a Banach space. The relations between the Levitin–Polyak well-posedness and Hadamard well-posedness for a generalized mixed variational inequality are studied. The characterizations of Hadamard wel...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9527107 |
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| author | Lu-Chuan Ceng Yeong-Cheng Liou Ching-Feng Wen Hui-Ying Hu Long He Yun-Ling Cui |
| author_facet | Lu-Chuan Ceng Yeong-Cheng Liou Ching-Feng Wen Hui-Ying Hu Long He Yun-Ling Cui |
| author_sort | Lu-Chuan Ceng |
| collection | DOAJ |
| description | We introduce a new concept of Hadamard well-posedness of a generalized mixed variational inequality in a Banach space. The relations between the Levitin–Polyak well-posedness and Hadamard well-posedness for a generalized mixed variational inequality are studied. The characterizations of Hadamard well-posedness for a generalized mixed variational inequality are established. |
| format | Article |
| id | doaj-art-d307a34d4ed7459bbffa8085f51994ef |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-d307a34d4ed7459bbffa8085f51994ef2025-02-03T01:28:02ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/9527107On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach SpacesLu-Chuan Ceng0Yeong-Cheng Liou1Ching-Feng Wen2Hui-Ying Hu3Long He4Yun-Ling Cui5Department of MathematicsDepartment of Healthcare Administration and Medical InformaticsCenter for Fundamental Science and Research Center for Nonlinear Analysis and OptimizationDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsWe introduce a new concept of Hadamard well-posedness of a generalized mixed variational inequality in a Banach space. The relations between the Levitin–Polyak well-posedness and Hadamard well-posedness for a generalized mixed variational inequality are studied. The characterizations of Hadamard well-posedness for a generalized mixed variational inequality are established.http://dx.doi.org/10.1155/2021/9527107 |
| spellingShingle | Lu-Chuan Ceng Yeong-Cheng Liou Ching-Feng Wen Hui-Ying Hu Long He Yun-Ling Cui On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces Journal of Mathematics |
| title | On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces |
| title_full | On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces |
| title_fullStr | On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces |
| title_full_unstemmed | On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces |
| title_short | On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces |
| title_sort | on the hadamard well posedness of generalized mixed variational inequalities in banach spaces |
| url | http://dx.doi.org/10.1155/2021/9527107 |
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