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ISSN : 1226-0657

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Vol.27 No.3

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EXISTENCE OF COINCIDENCE POINT UNDER GENERALIZED GERAGHTY-TYPE CONTRACTION WITH 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
2020, v.27 no.3, pp.109-124
https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.3.109
Handa, Amrish
Handa,, A. (2020). EXISTENCE OF COINCIDENCE POINT UNDER GENERALIZED GERAGHTY-TYPE CONTRACTION WITH APPLICATION. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 27(3), 109-124, https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.3.109

Abstract

We establish coincidence point theorem for S-non-decreasing mappings under Geraghty-type contraction on partially ordered metric spaces. With the help of obtain result, we derive two dimensional results for generalized compatible pair of mappings F, G : X<sup>2</sup> &#x2192; X. As an application, we obtain the solution of integral equation and also give an example to show the usefulness of our results. Our results improve, sharpen, enrich and generalize various known results.

keywords
coincidence point, Geraghty-type contraction, S-non-decreasing mapping, O-compatible, generalized compatibility, integral equation

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

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