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A Nonlinear System of Generalized Ordered XOR-Inclusion Problem in Hilbert Space with S -Iterative Algorithm

Author

Listed:
  • Imran Ali

    (Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram 522302, Andhra Pradesh, India)

  • Haider Abbas Rizvi

    (Department of Mathematics and Sciences, College of Arts and Applied Sciences, Dhofar University, Salalah 211, Oman)

  • Ramakrishnan Geetha

    (Department of Mathematics, School of Advanced Sciences, Kalasalingam Academy of Research and Education, Krishnankoil 626126, Tamil Nadu, India)

  • Yuanheng Wang

    (Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China)

Abstract

In this article, a nonlinear system of generalized ordered XOR-inclusion problems in Hilbert space is introduced and studied. Initially, we define the resolvent operator related to the ( α , λ ) -XOR-weak-ANODD multivalued mapping. Using the fixed point technique, we demonstrate the results of existence. In order to make the suggested system more realistic, we create the S-iterative algorithm and demonstrate that the sequence generated through this technique strongly converges with the proposed system’s solution. One example is provided in support of the existence result as well.

Suggested Citation

  • Imran Ali & Haider Abbas Rizvi & Ramakrishnan Geetha & Yuanheng Wang, 2023. "A Nonlinear System of Generalized Ordered XOR-Inclusion Problem in Hilbert Space with S -Iterative Algorithm," Mathematics, MDPI, vol. 11(6), pages 1-20, March.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:6:p:1434-:d:1098703
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    References listed on IDEAS

    as
    1. Rais Ahmad & Imran Ali & Xiao-Bing Li & Mohd. Ishtyak & Ching-Feng Wen, 2019. "System of Multi-Valued Mixed Variational Inclusions with XOR-Operation in Real Ordered Uniformly Smooth Banach Spaces," Mathematics, MDPI, vol. 7(11), pages 1-15, November.
    2. Imran Ali & Rais Ahmad & Ching-Feng Wen, 2019. "Cayley Inclusion Problem Involving XOR-Operation," Mathematics, MDPI, vol. 7(3), pages 1-12, March.
    Full references (including those not matched with items on IDEAS)

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    1. 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.
    2. Rais Ahmad & Imran Ali & Xiao-Bing Li & Mohd. Ishtyak & Ching-Feng Wen, 2019. "System of Multi-Valued Mixed Variational Inclusions with XOR-Operation in Real Ordered Uniformly Smooth Banach Spaces," Mathematics, MDPI, vol. 7(11), pages 1-15, November.

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