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

Haroon Ahmad, Mudasir Younis, Mehmet Emir Koksal, Durdana Lateef and Palanivel M.

Journal of Mathematics, 2024, vol. 2024, 1-13

Abstract: 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.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9190867

DOI: 10.1155/2024/9190867

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