Nonunique Fixed-Point Results in a General Setting with an Application

This manuscript’s main goal is to examine the presence of fixed points in the context of controlled metric-type spaces utilizing rational type Ćirić-contractive conditions. We provide appropriate examples to support the validity and superiority of our conclusions. In the context of extended b-metric...

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Bibliographic Details
Main Authors: Haroon Ahmad, Mudasir Younis, Mehmet Emir Koksal, Durdana Lateef
Format: Article
Language:English
Published: Wiley 2024-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2024/9190867
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Summary:This manuscript’s main goal is to examine the presence of fixed points in the context of controlled metric-type spaces utilizing rational type Ćirić-contractive conditions. We provide appropriate examples to support the validity and superiority of our conclusions. In the context of extended b-metric space, b-metric spaces, and standard metric spaces, our findings extrapolate and expand a number of well-known research findings. As an application of our findings, we prove that a second-order differential equation has a solution. The paper ends with a few open problems for further investigation of additional dimensions within this framework.
ISSN:2314-4785