A Fixed Point Result in a Double Control Metric Space Setting and a Fredholm Integral Equation

Authors

  • Hassen Aydi ISITCOM, Universit´e de Sousse, H. Sousse, Tunisia
  • Hamdi Hammouda Universit´e de Monastir, Institut Pr´eparatoire des Etudes d’Ing´enieurs de Monastir, Monastir, Tunisia
  • Saber Mansour Department of Mathematics, Umm Al-Qura University, Faculty of Applied sciences, P.O. Box 14035, Holly Makkah 21955, Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6133

Keywords:

Fixed point, Double controlled metric space; , Fredholm integral equation

Abstract

In this present work, we prove a fixed point result for generalized contraction mappings in the setting of a double control metric space (DCMS) by using α-orbital admissibility. The uniqueness of the fixed point is established by adding further hypotheses. The presented result is supported by a concrete example. Moreover, we ensure the existence of a solution of a Fredholm type integral equation via a fixed point technique. Some consequences are also presented to make effective the obtained results.

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Topology

License

Copyright (c) 2025 Hassen Aydi, Hamdi Hammouda, Saber Mansour

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How to Cite

A Fixed Point Result in a Double Control Metric Space Setting and a Fredholm Integral Equation. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6133. https://doi.org/10.29020/nybg.ejpam.v18i3.6133