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  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
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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

EXISTENCE OF COINCIDENCE POINT UNDER GENERALIZED GERAGHTY-TYPE CONTRACTION WITH APPLICATION

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, Govt. P. G. Arts and Science College)
Handa, Amrish. (2020). EXISTENCE OF COINCIDENCE POINT UNDER GENERALIZED GERAGHTY-TYPE CONTRACTION WITH APPLICATION. 한국수학교육학회지시리즈B:순수및응용수학, 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

한국수학교육학회지시리즈B:순수및응용수학

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