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Generalized Complementarity Problem with Three Classes of Generalized Variational Inequalities InvolvingOperation
Author(s) -
Rais Ahmad,
Iqbal Ahmad,
Zahoor Ahmad Rather,
Yuanheng Wang
Publication year - 2021
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2021/6629203
Subject(s) - mathematics , equivalence (formal languages) , complementarity (molecular biology) , variational inequality , convergence (economics) , pure mathematics , algebra over a field , discrete mathematics , genetics , economics , biology , economic growth
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.

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