A theoretical view of existence results by using fixed point theory for quasi-variational inequalities
In this paper, we present new existence results for the quasi-variational inequality problem (QV I) in reflexive Banach spaces using the fixed point method with quasi-monotonicity and local upper sign-continuity assumptions. These results improve upon previous ones which only required a weaker monot...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2023-12-01
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| Series: | Applied Mathematics in Science and Engineering |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/27690911.2023.2167990 |
| _version_ | 1827774536430387200 |
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| author | Min Wang Yeliz Karaca Mati ur Rahman Mi Zhou |
| author_facet | Min Wang Yeliz Karaca Mati ur Rahman Mi Zhou |
| author_sort | Min Wang |
| collection | DOAJ |
| description | In this paper, we present new existence results for the quasi-variational inequality problem (QV I) in reflexive Banach spaces using the fixed point method with quasi-monotonicity and local upper sign-continuity assumptions. These results improve upon previous ones which only required a weaker monotonicity condition and did not impose compactness on the involved set. |
| first_indexed | 2024-03-11T13:39:45Z |
| format | Article |
| id | doaj.art-c7218ebd043444d0a120ffea526cd136 |
| institution | Directory Open Access Journal |
| issn | 2769-0911 |
| language | English |
| last_indexed | 2024-03-11T13:39:45Z |
| publishDate | 2023-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Applied Mathematics in Science and Engineering |
| spelling | doaj.art-c7218ebd043444d0a120ffea526cd1362023-11-02T13:48:31ZengTaylor & Francis GroupApplied Mathematics in Science and Engineering2769-09112023-12-0131110.1080/27690911.2023.21679902167990A theoretical view of existence results by using fixed point theory for quasi-variational inequalitiesMin Wang0Yeliz Karaca1Mati ur Rahman2Mi Zhou3Mianyang Teachers' CollegeUniversity of Massachusetts Medical SchoolShanghai Jiao Tong UniversityUniversity of SanyaIn this paper, we present new existence results for the quasi-variational inequality problem (QV I) in reflexive Banach spaces using the fixed point method with quasi-monotonicity and local upper sign-continuity assumptions. These results improve upon previous ones which only required a weaker monotonicity condition and did not impose compactness on the involved set.http://dx.doi.org/10.1080/27690911.2023.2167990quasi-variational inequalityfixed pointquasi-monotonicitylocal upper sign-continuity |
| spellingShingle | Min Wang Yeliz Karaca Mati ur Rahman Mi Zhou A theoretical view of existence results by using fixed point theory for quasi-variational inequalities Applied Mathematics in Science and Engineering quasi-variational inequality fixed point quasi-monotonicity local upper sign-continuity |
| title | A theoretical view of existence results by using fixed point theory for quasi-variational inequalities |
| title_full | A theoretical view of existence results by using fixed point theory for quasi-variational inequalities |
| title_fullStr | A theoretical view of existence results by using fixed point theory for quasi-variational inequalities |
| title_full_unstemmed | A theoretical view of existence results by using fixed point theory for quasi-variational inequalities |
| title_short | A theoretical view of existence results by using fixed point theory for quasi-variational inequalities |
| title_sort | theoretical view of existence results by using fixed point theory for quasi variational inequalities |
| topic | quasi-variational inequality fixed point quasi-monotonicity local upper sign-continuity |
| url | http://dx.doi.org/10.1080/27690911.2023.2167990 |
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