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New Modular Fixed-Point Theorem in the Variable Exponent Spaces ℓ p (.)

Author

Listed:
  • Amnay El Amri

    (Faculté des Sciences Ben Msik (LAMS), Hassan II University, Casablanca 21100, Morocco)

  • Mohamed A. Khamsi

    (Department of Applied Mathematics and Sciences, Khalifa University, Abu Dhabi 127788, United Arab Emirates)

Abstract

In this work, we prove a fixed-point theorem in the variable exponent spaces ℓ p ( . ) , when p − = 1 without further conditions. This result is new and adds more information regarding the modular structure of these spaces. To be more precise, our result concerns ρ -nonexpansive mappings defined on convex subsets of ℓ p ( . ) that satisfy a specific condition which we call “condition of uniform decrease”.

Suggested Citation

  • Amnay El Amri & Mohamed A. Khamsi, 2022. "New Modular Fixed-Point Theorem in the Variable Exponent Spaces ℓ p (.)," Mathematics, MDPI, vol. 10(6), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:6:p:869-:d:767367
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    References listed on IDEAS

    as
    1. M. Bachar & M. A. Khamsi & O. Mendez & M. Bounkhel, 2019. "A geometric property in ℓp(·) and its applications," Mathematische Nachrichten, Wiley Blackwell, vol. 292(9), pages 1931-1940, September.
    Full references (including those not matched with items on IDEAS)

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