Some fixed point results on controlled rectangular partial metric spaces with a graph structure

Authors

  • N. Alamgir National University of Sciences and Technology, Islamabad, Pakistan
  • Q. Kiran National University of Sciences and Technology, Islamabad, Pakistan
  • Y. Ali National University of Sciences and Technology, 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, Ga-Rankuwa, South Africa
https://doi.org/10.15330/cmp.17.1.343-363

Keywords:

controlled rectangular partial metric space, fixed point, graph
Published online: 2025-06-30

Abstract

In this work, we define a controlled rectangular partial metric space, which is a generalization of a controlled rectangular metric space and a controlled metric space. Furthermore, we derive some fixed point results with suitable conditions in this setting. As an application, we give a fixed point theorem for graphic contractions on a controlled rectangular partial metric space via a graph structure.

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How to Cite
(1)
Alamgir, N.; Kiran, Q.; Ali, Y.; Aydi, H. Some Fixed Point Results on Controlled Rectangular Partial Metric Spaces With a Graph Structure. Carpathian Math. Publ. 2025, 17, 343-363.