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 J. Sib. Fed. Univ. Math. Phys., 2021, Volume 14, Issue 2, Pages 150–158 (Mi jsfu900)

Fixed points of set-valued $F$-contraction operators in quasi-ordered metric spaces with an application to integral equations

Ehsan Lotfali Ghasaba, Hamid Majania, Ghasem Soleimani Radb

a Department of Mathematics Shahid Chamran University of Ahvaz, Ahvaz, Iran
b Young Researchers and Elite club, West Tehran Branch, Islamic Azad University, Tehran, Iran

Abstract: In this paper, we prove some new fixed point theorems involving set-valued $F$-contractions in the setting of quasi-ordered metric spaces. Our results are significant since we present Banach contraction principle in a different manner from that which is known in the present literature. Some examples and an application to existence of solution of Volterra-type integral equation are given to support the obtained results.

Keywords: fixed point, sequentially complete metric spaces, $F$-contraction, ordered-close operator.

 Funding Agency Grant Number Research Council of Shahid Chamran University of Ahvaz SCU.MM99.25894 We are grateful to the Research Council of Shahid Chamran University of Ahvaz for financial support (Grant number: SCU.MM99.25894).

DOI: https://doi.org/10.17516/1997-1397-2021-14-2-150-158

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UDC: 517.9
Received in revised form: 22.09.2020
Accepted: 20.11.2020
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Citation: Ehsan Lotfali Ghasab, Hamid Majani, Ghasem Soleimani Rad, “Fixed points of set-valued $F$-contraction operators in quasi-ordered metric spaces with an application to integral equations”, J. Sib. Fed. Univ. Math. Phys., 14:2 (2021), 150–158

Citation in format AMSBIB
\Bibitem{GhaMajRad21} \by Ehsan~Lotfali~Ghasab, Hamid~Majani, Ghasem~Soleimani~Rad \paper Fixed points of set-valued $F$-contraction operators in quasi-ordered metric spaces with an application to integral equations \jour J. Sib. Fed. Univ. Math. Phys. \yr 2021 \vol 14 \issue 2 \pages 150--158 \mathnet{http://mi.mathnet.ru/jsfu900} \crossref{https://doi.org/10.17516/1997-1397-2021-14-2-150-158} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000639618500003}