On Controlled Rectangular Metric Spaces and an Application

Nayab Alamgir, Quanita Kiran, Hassen Aydi*, Yaé Ulrich Gaba

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this paper, we introduce the notion of controlled rectangular metric spaces as a generalization of rectangular metric spaces and rectangular b-metric spaces. Further, we establish some related fixed point results. Our main results extend many existing ones in the literature. The obtained results are also illustrated with the help of an example. In the last section, we apply our results to a common real-life problem in a general form by getting a solution for the Fredholm integral equation in the setting of controlled rectangular metric spaces.

Original languageEnglish
Article number5564324
JournalJournal of Function Spaces
Publication statusPublished - 2021
Externally publishedYes


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