Generalized Complementarity Problem with Three Classes of Generalized Variational Inequalities Involving ⊕ Operation. (25th January 2021)

• Record Type: Journal Article
• Authors: Ahmad, Rais; Ahmad, Iqbal; Rather, Zahoor Ahmad; Wang, Yuanheng
• Other Names: Cho Sun Young Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-01-25
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/6629203
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : 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.