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

Author

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  • Rais Ahmad
  • Iqbal Ahmad
  • Zahoor Ahmad Rather
  • Yuanheng Wang
  • Sun Young Cho

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.

Suggested Citation

  • Rais Ahmad & Iqbal Ahmad & Zahoor Ahmad Rather & Yuanheng Wang & Sun Young Cho, 2021. "Generalized Complementarity Problem with Three Classes of Generalized Variational Inequalities Involving ⊕ Operation," Journal of Mathematics, Hindawi, vol. 2021, pages 1-10, January.
    • Handle: RePEc:hin:jjmath:6629203
    DOI: 10.1155/2021/6629203
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    Cited by:

    1. Rais Ahmad & Mohd Ishtyak & Arvind Kumar Rajpoot & Yuanheng Wang, 2022. "Solving System of Mixed Variational Inclusions Involving Generalized Cayley Operator and Generalized Yosida Approximation Operator with Error Terms in q -Uniformly Smooth Space," Mathematics, MDPI, vol. 10(21), pages 1-17, November.

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