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Three-Step Iterative Algorithm for the Extended Cayley–Yosida Inclusion Problem in 2-Uniformly Smooth Banach Spaces: Convergence and Stability Analysis

Author

Listed:
  • Imran Ali

    (Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram 522302, Andhra Pradesh, India
    These authors contributed equally to this work.)

  • Yuanheng Wang

    (School of Mathematical Sciences, Zhejiang Normal University, Jinhua 321004, China
    Mathematics Department of Humanities College, Zhejiang Guangsha Vocational and Technical University of Construction, Jinhua 321004, China
    These authors contributed equally to this work.)

  • Rais Ahmad

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, Uttar Pradesh, India
    These authors contributed equally to this work.)

Abstract

In this article, we investigate and study an extended Cayley–Yosida inclusion problem. We show that our problem is equivalent to a fixed-point equation. Based on the fixed-point equation, we develop a three-step iterative algorithm to solve our problem. Finally, we illustrate the convergence of the proposed algorithm with an example, computational table, and convergence graph by using MATLAB 2018b.

Suggested Citation

  • Imran Ali & Yuanheng Wang & Rais Ahmad, 2024. "Three-Step Iterative Algorithm for the Extended Cayley–Yosida Inclusion Problem in 2-Uniformly Smooth Banach Spaces: Convergence and Stability Analysis," Mathematics, MDPI, vol. 12(13), pages 1-17, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:13:p:1977-:d:1422957
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    References listed on IDEAS

    as
    1. Arvind Kumar Rajpoot & Mohd Ishtyak & Rais Ahmad & Yuanheng Wang & Jen-Chih Yao, 2023. "Convergence Analysis for Yosida Variational Inclusion Problem with Its Corresponding Yosida Resolvent Equation Problem through Inertial Extrapolation Scheme," Mathematics, MDPI, vol. 11(3), pages 1-19, February.
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