Generalized Complementarity Problem with Three Classes of Generalized Variational Inequalities Involving ⊕ Operation
In this study, we introduce and study a generalized complementarity problem involving XOR operation and three classes of generalized variational inequalities involving XOR operation. Under certain appropriate conditions, we establish equivalence between them. An iterative algorithm is defined for so...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6629203 |
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| _version_ | 1832565995358650368 |
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| author | Rais Ahmad Iqbal Ahmad Zahoor Ahmad Rather Yuanheng Wang |
| author_facet | Rais Ahmad Iqbal Ahmad Zahoor Ahmad Rather Yuanheng Wang |
| author_sort | Rais Ahmad |
| collection | DOAJ |
| description | In this study, we introduce and study a generalized complementarity problem involving XOR operation and three classes of generalized variational inequalities involving XOR operation. Under certain appropriate conditions, we establish equivalence between them. An iterative algorithm is defined for solving one of the three generalized variational inequalities involving XOR operation. Finally, an existence and convergence result is proved, supported by an example. |
| format | Article |
| id | doaj-art-6006b63e2fcf4dd58428524496b931b0 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-6006b63e2fcf4dd58428524496b931b02025-02-03T01:05:26ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66292036629203Generalized Complementarity Problem with Three Classes of Generalized Variational Inequalities Involving ⊕ OperationRais Ahmad0Iqbal Ahmad1Zahoor Ahmad Rather2Yuanheng Wang3Department of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaCollege of Engineering, Qassim University, P. O. Box 6677, Buraidah 51452, Al-Qassim, Saudi ArabiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, ChinaIn this study, we introduce and study a generalized complementarity problem involving XOR operation and three classes of generalized variational inequalities involving XOR operation. Under certain appropriate conditions, we establish equivalence between them. An iterative algorithm is defined for solving one of the three generalized variational inequalities involving XOR operation. Finally, an existence and convergence result is proved, supported by an example.http://dx.doi.org/10.1155/2021/6629203 |
| spellingShingle | Rais Ahmad Iqbal Ahmad Zahoor Ahmad Rather Yuanheng Wang Generalized Complementarity Problem with Three Classes of Generalized Variational Inequalities Involving ⊕ Operation Journal of Mathematics |
| title | Generalized Complementarity Problem with Three Classes of Generalized Variational Inequalities Involving ⊕ Operation |
| title_full | Generalized Complementarity Problem with Three Classes of Generalized Variational Inequalities Involving ⊕ Operation |
| title_fullStr | Generalized Complementarity Problem with Three Classes of Generalized Variational Inequalities Involving ⊕ Operation |
| title_full_unstemmed | Generalized Complementarity Problem with Three Classes of Generalized Variational Inequalities Involving ⊕ Operation |
| title_short | Generalized Complementarity Problem with Three Classes of Generalized Variational Inequalities Involving ⊕ Operation |
| title_sort | generalized complementarity problem with three classes of generalized variational inequalities involving ⊕ operation |
| url | http://dx.doi.org/10.1155/2021/6629203 |
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