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System of Generalized Variational Inclusions Involving Cayley Operators and XOR-Operation in q -Uniformly Smooth Banach Spaces

Author

Listed:
  • Javid Iqbal

    (Department of Mathematics, Baba Ghulam Shah Badshah University, Rajouri 185234, India)

  • Arvind Kumar Rajpoot

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India)

  • Monirul Islam

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India)

  • Rais Ahmad

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India)

  • Yuanheng Wang

    (College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China)

Abstract

In this paper, we consider and study a system of generalized variational inclusions involving Cayley operators and an XOR-operation in q -uniformly smooth Banach spaces. To obtain the solution of the system of generalized variational inclusions involving Cayley operators and an XOR-operation, we use some properties of Cayley operators as well as an XOR-operation. We also discuss the convergence criterion. In support of our main result, we provide an example.

Suggested Citation

  • Javid Iqbal & Arvind Kumar Rajpoot & Monirul Islam & Rais Ahmad & Yuanheng Wang, 2022. "System of Generalized Variational Inclusions Involving Cayley Operators and XOR-Operation in q -Uniformly Smooth Banach Spaces," Mathematics, MDPI, vol. 10(16), pages 1-13, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:16:p:2837-:d:884052
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    References listed on IDEAS

    as
    1. Imran Ali & Rais Ahmad & Ching-Feng Wen, 2019. "Cayley Inclusion Problem Involving XOR-Operation," Mathematics, MDPI, vol. 7(3), pages 1-12, March.
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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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