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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.31 No.3

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Fixed Point Results on Graphical Partial Metric Spaces with an Application

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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). . , 31(3), 267-281, https://doi.org/10.7468/jksmeb.2024.31.3.267

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

한국수학교육학회지시리즈B:순수및응용수학

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