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Periodic Points of Modular Firmly Mappings in the Variable Exponent Sequence Spaces ℓ p (·)

Author

Listed:
  • Afrah A. N. Abdou

    (Department of Mathematics, Faculty of Sciences, University of Jeddah, Jeddah 21589, Saudi Arabia)

  • Mohamed A. Khamsi

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

Abstract

In this work, we investigate the existence of periodic points of mappings defined on nonconvex domains within the variable exponent sequence spaces ℓ p ( · ) . In particular, we consider the case of modular firmly nonexpansive and modular firmly asymptotically nonexpansive mappings. These kinds of results have never been obtained before.

Suggested Citation

  • Afrah A. N. Abdou & Mohamed A. Khamsi, 2021. "Periodic Points of Modular Firmly Mappings in the Variable Exponent Sequence Spaces ℓ p (·)," Mathematics, MDPI, vol. 9(19), pages 1-8, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:19:p:2418-:d:645599
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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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