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Fixed-Point Theorems Using α -Series in F -Metric Spaces

Author

Listed:
  • Vildan Ozturk

    (Department of Mathematics, Faculty of Polatli Science and Arts, University of Ankara Haci Bayram Veli, 06500 Ankara, Turkey
    These authors contributed equally to this work.)

  • Duran Turkoglu

    (Department of Mathematics, Faculty of Science, University of Gazi, 06010 Ankara, Turkey
    These authors contributed equally to this work.)

Abstract

Fixed-point theory, which has been developing since 1922, is widely used. Various contraction principles have been defined in the literature. In this work, we define rational-type contraction and weak Choudhury type contraction using α -series in F -metric spaces and prove common fixed-point theorems for sequences of self-mappings. This method is based on the convergence series of coefficients. Our results are the generalized version of the results in the literature. Finally, we apply our main results to solve an integral equation and a differential equation.

Suggested Citation

  • Vildan Ozturk & Duran Turkoglu, 2024. "Fixed-Point Theorems Using α -Series in F -Metric Spaces," Mathematics, MDPI, vol. 12(16), pages 1-16, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:16:p:2596-:d:1461811
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