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

N. Alamgir; Q. Kiran; Y. Ali; H. Aydi

doi:10.15330/cmp.17.1.343-363

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

N. Alamgir
, Q. Kiran
, Y. Ali
, H. Aydi

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	343-363
Number of pages	21
Journal	Carpathian Mathematical Publications
Volume	17
Issue number	1
DOIs	https://doi.org/10.15330/cmp.17.1.343-363
Publication status	Published - 30 Jun 2025
Externally published	Yes

Keywords

controlled rectangular partial metric space
fixed point
graph

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10.15330/cmp.17.1.343-363

Cite this

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AB - 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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KW - fixed point

KW - graph

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

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