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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doaj-6006b63e2fcf4dd58428524496b931b02021-02-15T12:53:05ZengHindawi LimitedJournal 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 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Rais Ahmad Iqbal Ahmad Zahoor Ahmad Rather Yuanheng Wang |
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 |
author_facet |
Rais Ahmad Iqbal Ahmad Zahoor Ahmad Rather Yuanheng Wang |
author_sort |
Rais Ahmad |
title |
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_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_sort |
generalized complementarity problem with three classes of generalized variational inequalities involving ⊕ operation |
publisher |
Hindawi Limited |
series |
Journal of Mathematics |
issn |
2314-4629 2314-4785 |
publishDate |
2021-01-01 |
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. |
url |
http://dx.doi.org/10.1155/2021/6629203 |
work_keys_str_mv |
AT raisahmad generalizedcomplementarityproblemwiththreeclassesofgeneralizedvariationalinequalitiesinvolvingoperation AT iqbalahmad generalizedcomplementarityproblemwiththreeclassesofgeneralizedvariationalinequalitiesinvolvingoperation AT zahoorahmadrather generalizedcomplementarityproblemwiththreeclassesofgeneralizedvariationalinequalitiesinvolvingoperation AT yuanhengwang generalizedcomplementarityproblemwiththreeclassesofgeneralizedvariationalinequalitiesinvolvingoperation |
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1714866617101320192 |