Application of Generalized Weak Contraction in Integral Equation

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, Govt. P. G. Arts and Science College)

Amrish Handa. (2023). APPLICATION OF GENERALIZED WEAK CONTRACTION IN INTEGRAL EQUATION. 한국수학교육학회지시리즈B:순수및응용수학, 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

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논문 상세

Vol.30 No.3

APPLICATION OF GENERALIZED WEAK CONTRACTION IN INTEGRAL EQUATION

Application of Generalized Weak Contraction in Integral Equation

Abstract

한국수학교육학회지시리즈B:순수및응용수학