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On the Admissibility of the Fixed Points Set of a Mapping with Respect to Another Mapping

Author

Listed:
  • Bessem Samet

    (Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

Abstract

Let ( M , δ ) be a metric space, f : M → M , and g : M → [ 0 , + ∞ ) . In this paper, we obtain sufficient conditions under which the set of fixed points of f is g -admissible, i.e., Fix ( f ) ≠ ∅ and Fix ( f ) ⊂ g − 1 0 . Some special cases of our main results are discussed and some examples are given.

Suggested Citation

  • Bessem Samet, 2021. "On the Admissibility of the Fixed Points Set of a Mapping with Respect to Another Mapping," Mathematics, MDPI, vol. 9(16), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:1981-:d:617558
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    References listed on IDEAS

    as
    1. Maryam Iqbal & Afshan Batool & Ozgur Ege & Manuel de la Sen & kit C. Chan, 2020. "Fixed Point of Almost Contraction in b-Metric Spaces," Journal of Mathematics, Hindawi, vol. 2020, pages 1-6, October.
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