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Convergence Analysis for Yosida Variational Inclusion Problem with Its Corresponding Yosida Resolvent Equation Problem through Inertial Extrapolation Scheme

Author

Listed:
  • Arvind Kumar Rajpoot

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

  • Mohd Ishtyak

    (Department of Applied Mathematics, Zakir Hussain College of Engineering and Technology, 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)

  • Jen-Chih Yao

    (Center for General Education, China Medical University, Taichung 40402, Taiwan)

Abstract

In this paper, we study a Yosida variational inclusion problem with its corresponding Yosida resolvent equation problem. We mention some schemes to solve both the problems, but we focus our study on discussing convergence criteria for the Yosida variational inclusion problem in real Banach space and for the Yosida resolvent equation problem in q -uniformly smooth Banach space. For faster convergence, we apply an inertial extrapolation scheme for both the problems. An example is provided.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:3:p:763-:d:1055889
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    References listed on IDEAS

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    1. Yonghong Yao & Mihai Postolache & Jen-Chih Yao, 2019. "An Iterative Algorithm for Solving Generalized Variational Inequalities and Fixed Points Problems," Mathematics, MDPI, vol. 7(1), pages 1-15, January.
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    Cited by:

    1. 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.

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