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Coincidence Point Results under Geraghty-­type Contraction

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.325-336
https://doi.org/10.7468/jksmeb.2024.31.3.325
Amrish Handa (Govt. P. G. Arts and Science College)
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Abstract

The main aim of this research article is to establish some coincidence point theorem for G-non-decreasing mappings under Geraghty-type contraction on partially ordered metric spaces. Furthermore, we derive some multidimensional results with the help of our unidimensional results. Our results improve and generalize various well-known results in the literature.

keywords
Geraghty-type contraction, coincidence point, partially ordered metric space, O-compatibility, non-decreasing mapping.
Submission Date
2024-04-09
Revised Date
2024-05-23
Accepted Date
2024-06-21

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