Geodesic
Common fixed points for set-valued generalized contractions on a metric space with graphical structure
Filomat, Tome 37 (2023) no. 11, p. 3671

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

This manuscript deals with existence of common fixed points and coincidence points for set-valued generalized f-contraction in the setting of metric space having graphical structure. This result enables us to derive fixed points for set-valued generalized contractions on a metric space having directed graph. The main theorem generalizes and improves several results in the literature. An invariant approximation result on a normed linear space is derived from our main result. As an implementation of our main result, we deduce the sufficient criteria for occurrence of solution for the Caputo fractional differential equation.
DOI : 10.2298/FIL2311671M
Classification : 47H10, 54H25
Keywords: Coincidence points, Common fixed points, Graph, Invariant approximation, Fractional differential equation 
Pallab Maiti; Asrifa Sultana. Common fixed points for set-valued generalized contractions on a metric space with graphical structure. Filomat, Tome 37 (2023) no. 11, p. 3671 . doi: 10.2298/FIL2311671M
@article{10_2298_FIL2311671M,
     author = {Pallab Maiti and Asrifa Sultana},
     title = {Common fixed points for set-valued generalized contractions on a metric space with graphical structure},
     journal = {Filomat},
     pages = {3671 },
     year = {2023},
     volume = {37},
     number = {11},
     doi = {10.2298/FIL2311671M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2311671M/}
}
TY  - JOUR
AU  - Pallab Maiti
AU  - Asrifa Sultana
TI  - Common fixed points for set-valued generalized contractions on a metric space with graphical structure
JO  - Filomat
PY  - 2023
SP  - 3671 
VL  - 37
IS  - 11
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2311671M/
DO  - 10.2298/FIL2311671M
LA  - en
ID  - 10_2298_FIL2311671M
ER  - 
%0 Journal Article
%A Pallab Maiti
%A Asrifa Sultana
%T Common fixed points for set-valued generalized contractions on a metric space with graphical structure
%J Filomat
%D 2023
%P 3671 
%V 37
%N 11
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2311671M/
%R 10.2298/FIL2311671M
%G en
%F 10_2298_FIL2311671M

Cité par Sources :