Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2021 14 (2)
- Authors
- Ghasab, Ehsan Lotfali; Majani, Hamid; Rad, Ghasem Soleimani
- Contact information
- Ghasab, Ehsan Lotfali: Department of Mathematics Shahid Chamran University of Ahvaz Ahvaz, Iran; OCRID: 0000-0002-8418-9351; Majani, Hamid: Department of Mathematics Shahid Chamran University of Ahvaz Ahvaz, Iran; ; OCRID: 0000-0001-7022-6513; Rad, Ghasem Soleimani: Young Researchers and Elite club, West Tehran Branch Islamic Azad University Tehran, Iran; ; OCRID: 0000-0002-0758-2758
- Keywords
- fixed point; sequentially complete metric spaces; F-contraction; ordered-close operator
- 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
- Pages
- 150–158
- DOI
- 10.17516/1997-1397-2021-14-2-152-160
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/137968
Journal of Siberian Federal University. Mathematics & Physics / Fixed Points of Set-valued F-contraction Operators in Quasi-ordered Metric Spaces with an Application to Integral Equations
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