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ISSN : 1226-0657

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Vol.30 No.4

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Application of Contraction Mapping Principle 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.4, pp.443-461
https://doi.org/10.7468/jksmeb.2023.30.4.443
Amrish Handa (Govt. P. G. Arts and Science College)
Amrish, H. (2023). Application of Contraction Mapping Principle in Integral Equation. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 30(4), 443-461, https://doi.org/10.7468/jksmeb.2023.30.4.443

Abstract

In this manuscript, we establish some common fixed point theorems satisfying contraction mapping principle on partially ordered non-Archimedean fuzzy metric spaces and also derive some coupled fixed point results with the help of established results. We investigate the solution of integral equation and also give an example to show the applicability of our results. These results generalize, improve and fuzzify several well-known results in the recent literature.

keywords
Fixed point, coincidence point, contraction mapping principle, non-decreasing mapping, partially ordered non-Archimedean fuzzy metric space, integral equation

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

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