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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{JSFU_2021_14_2_a2,
     author = {Ehsan Lotfali Ghasab and Hamid Majani and Ghasem Soleimani Rad},
     title = {Fixed points of set-valued $F$-contraction operators in quasi-ordered metric spaces with an application to integral equations},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {150--158},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2021_14_2_a2/}
}
TY  - JOUR
AU  - Ehsan Lotfali Ghasab
AU  - Hamid Majani
AU  - Ghasem Soleimani Rad
TI  - Fixed points of set-valued $F$-contraction operators in quasi-ordered metric spaces with an application to integral equations
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2021
SP  - 150
EP  - 158
VL  - 14
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2021_14_2_a2/
LA  - en
ID  - JSFU_2021_14_2_a2
ER  - 
%0 Journal Article
%A Ehsan Lotfali Ghasab
%A Hamid Majani
%A Ghasem Soleimani Rad
%T Fixed points of set-valued $F$-contraction operators in quasi-ordered metric spaces with an application to integral equations
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2021
%P 150-158
%V 14
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2021_14_2_a2/
%G en
%F JSFU_2021_14_2_a2
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/