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ISSN : 1226-0657

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Vol.31 No.3
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Fixed Point Results on Graphical Partial Metric Spaces with an Application

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2024, v.31 no.3, pp.267-281
https://doi.org/10.7468/jksmeb.2024.31.3.267
Shivani Kukreti (HNB Garhwal University)
Gopi Prasad (Government Degree College Rudraprayag)
Ramesh Chandra Dimri (HNB Garhwal University)
Shivani, K. , Gopi, P. , & Ramesh, C. D. (2024). Fixed Point Results on Graphical Partial Metric Spaces with an Application. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 31(3), 267-281, https://doi.org/10.7468/jksmeb.2024.31.3.267
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Abstract

Aim is to present fixed point theorems for contractive mappings in the settings of partial metric spaces equipped with graph. To substantiate the claims and importance of newly obtained fixed point results, we present an application and non-trivial examples. In the light of an application, we ensure the existence of a solution of the linear integral equation via fixed point results. In this way, we generalize, extend and modify some important recent fixed point results of the existing literature, that is, in the settings of partial metric spaces equipped with graph.

keywords
fixed point, directed graph, contractive mappings

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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