Generalized Complementarity Problem with Three Classes of Generalized Variational Inequalities Involving ⊕ Operation

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: Rais Ahmad, Iqbal Ahmad, Zahoor Ahmad Rather, Yuanheng Wang
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/6629203
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spelling 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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