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ISSN : 1226-0657

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Vol.30 No.3
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Application of Generalized Weak Contraction in Integral Equation

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
2023, v.30 no.3, pp.249-267
https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.3.249
Amrish Handa
Amrish, H. (2023). Application of Generalized Weak Contraction in Integral Equation. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 30(3), 249-267, https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.3.249
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Abstract

This manuscript is divided into three segments. In the first segment, we prove a unique common fixed point theorem satisfying generalized weak contraction on partially ordered metric spaces and also give an example to support our results presented here. In the second segment of the article, some common coupled fixed point results are derived from our main results. In the last segment, we investigate the solution of integral equation as an application. Our results generalize, extend and improve several well-known results of the existing literature.

keywords
fixed point, coincidence point, generalized weak contraction, partially ordered metric space, integral equation

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

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