The purpose of this paper is to present some coupled fixed point results on a metric space endowed with two $b$-metrics. We shall apply a fixed point theorem for an appropriate operator on the Cartesian product of the given spaces endowed with directed graphs. Data dependence, well-posedness and Ulam-Hyers stability are also studied. The results obtained here will be applied to prove the existence and uniqueness of the solution for a system of integral equations.
Chifu, C. & Petrusel, G. (2017). Existence and uniqueness of the solution for a general system of operator equations in $b-$metric spaces endowed with a graph. International Journal of Nonlinear Analysis and Applications, 8(2), 263–276. https://doi.org/10.22075/ijnaa.2017.11562.1570
MLA
Chifu, C., & Petrusel, G. "Existence and uniqueness of the solution for a general system of operator equations in $b-$metric spaces endowed with a graph", International Journal of Nonlinear Analysis and Applications, 8, 2, 2017, 263–276. doi: 10.22075/ijnaa.2017.11562.1570
HARVARD
Chifu, C., & Petrusel, G. (2017). 'Existence and uniqueness of the solution for a general system of operator equations in $b-$metric spaces endowed with a graph', International Journal of Nonlinear Analysis and Applications, 8(2), pp. 263–276. doi: 10.22075/ijnaa.2017.11562.1570
CHICAGO
Chifu, C. & Petrusel, G., "Existence and uniqueness of the solution for a general system of operator equations in $b-$metric spaces endowed with a graph." International Journal of Nonlinear Analysis and Applications, 8 2 (2017): 263–276, doi: 10.22075/ijnaa.2017.11562.1570
VANCOUVER
Chifu C., Petrusel G. Existence and uniqueness of the solution for a general system of operator equations in $b-$metric spaces endowed with a graph. IJNAA. 2017;8(2):263–276. doi: 10.22075/ijnaa.2017.11562.1570
International Journal of Nonlinear Analysis and Applications