Geodesic
Fixed points of set-valued $F$-contraction operators in quasi-ordered metric spaces with an application to integral equations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 2, pp. 150-158.

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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. 
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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. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 2, pp. 150-158. http://geodesic.mathdoc.fr/item/JSFU_2021_14_2_a2/

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