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Approximate Solutions of a Fixed-Point Problem with an Algorithm Based on Unions of Nonexpansive Mappings

Author

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  • Alexander J. Zaslavski

    (Department of Mathematics, Technion–Israel Institute of Technology, Haifa 3200003, Israel)

Abstract

In this paper, we study a fixed-point problem with a set-valued mapping by using an algorithm based on unions of nonexpansive mappings. We show that an approximate solution is reached after a finite number of iterations in the presence of computational errors. This result is an extension of the results known in the literature.

Suggested Citation

  • Alexander J. Zaslavski, 2023. "Approximate Solutions of a Fixed-Point Problem with an Algorithm Based on Unions of Nonexpansive Mappings," Mathematics, MDPI, vol. 11(6), pages 1-7, March.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:6:p:1534-:d:1103697
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    References listed on IDEAS

    as
    1. Alexander J. Zaslavski, 2018. "Algorithms for Solving Common Fixed Point Problems," Springer Optimization and Its Applications, Springer, number 978-3-319-77437-4, September.
    2. Wissam Kassab & Teodor Ţurcanu, 2019. "Numerical Reckoning Fixed Points of ( ρE )-Type Mappings in Modular Vector Spaces," Mathematics, MDPI, vol. 7(5), pages 1-13, April.
    3. Alexander J. Zaslavski, 2016. "Approximate Solutions of Common Fixed-Point Problems," Springer Optimization and Its Applications, Springer, number 978-3-319-33255-0, September.
    Full references (including those not matched with items on IDEAS)

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