On common fixed points for Geraghty contraction mappings and an application to integral equations

Authors

  • S. Batul Capital University of Science and Technology, Islamabad Expressway, Kahuta Road, Zone-V, 44000, Islamabad, Pakistan
  • M.S. Ashraf Capital University of Science and Technology, Islamabad Expressway, Kahuta Road, Zone-V, 44000, Islamabad, Pakistan
  • D.-e.-S. Sagheer Capital University of Science and Technology, Islamabad Expressway, Kahuta Road, Zone-V, 44000, Islamabad, Pakistan
  • F. Mehmood Capital University of Science and Technology, Islamabad Expressway, Kahuta Road, Zone-V, 44000, Islamabad, Pakistan
  • H. Aydi Institut Supérieur d'Informatique et des Techniques de Communication, Université de Sousse, 4000, H. Sousse, Tunisia; Sefako Makgatho Health Sciences University, Molotlegi Street, 0208, Ga-Rankuwa, South Africa
  • S. Kumar North Eastern Hill University, Shillong, 793022 Meghalaya, India; University of Dar es Salaam, Sam Nujoma Road, 14113, Dar es Salaam, Tanzania https://orcid.org/0000-0003-2121-6428
https://doi.org/10.15330/cmp.18.1.264-277

Keywords:

fixed point, Geraghty contraction, fuzzy $b$-metric space, integral equation
Published online: 2026-06-28

Abstract

In this paper, few common fixed point theorems for Geraghty-type contractions are established in $G_r$-complete fuzzy $b$-metric spaces. Moreover, an example is constructed to authenticate the main result. Ultimately, an application of the results is obtained by exhibiting the existence of a solution for an integral equation.

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How to Cite
(1)
Batul, S.; Ashraf, M.; Sagheer, D.- e.-S.; Mehmood, F.; Aydi, H.; Kumar, S. On Common Fixed Points for Geraghty Contraction Mappings and an Application to Integral Equations. Carpathian Math. Publ. 2026, 18, 264-277.