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Several outcomes of fixed-point theory in interpolative metric spaces

  • Karapınar, Erdal [1] ; Kadıoğlu, Kaan [2] ; Gülçin Türkmenel, Merve [2] ; Aksoy, Ümit [2]
    1. [1] China Medical University Hospital

      China Medical University Hospital

      Taiwán

    2. [2] Atilim University

      Atilim University

      Turquía

  • Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 26, Nº. 2, 2025, págs. 871-880
  • Idioma: inglés
  • DOI: 10.4995/agt.2025.23858
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  • Resumen
    • This paper aims to generalize and improve the recent fixed-point theorems in the setting of interpolative metric spaces. More precisely, we investigate the existence and uniqueness of the fixed-point for certain operators of the Ćirić-Reich-Rus- type, via admissible mapping in the context of interpolative metric spaces.

  • Referencias bibliográficas
    • R. M. T. Bianchini, Su un problema di S. Reich riguardante la teoria del punti fissi, Boll. Un. Mat. Ital. 5 (1972), 103-108.
    • E. Karapınar, Recent advances on metric fixed-point theory: A review, Applied and Computational Mathematics an International Journal 22, no....
    • E. Karapınar, On interpolative metric spaces, Filomat 38, no. 22 (2024), 7729-7734. https://doi.org/10.2298/FIL2422729K
    • E. Karapınar and R. P. Agarwal, Fixed-point Theory in Generalized Metric Spaces, Synthesis Lectures on Mathematics & Statistics, Springer...
    • E. Karapınar, and R. P. Agarwal, Some fixed-point results on interpolative metric spaces, Nonlinear Analysis: Real World Applications 82 (2025),...
    • E. Karapınar and B. Samet, Generalized alpha-psi- Contractive Type Mappings and Related Fixed Point Theorems with Applications, Abstract and...
    • I. A. Rus, Generalized contractions and applications, Cluj University Press, Cluj-Napoca, 2001.

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