Geodesic
New Fixed Point Results in Orthogonal Metric Spaces With an Application
Kragujevac Journal of Mathematics, Tome 42 (2018) no. 4, p. 505 .

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

In this manuscript, owing to the concept of $w$-distance, we prove the much acclaimed Banach's fixed point theorem in orthogonal metric spaces. Further, our paper includes a couple of illustrative examples which exhibit the purpose for such inquests. In fact, the obtained results extend and improve certain comparable results of existing literature. Eventually, our findings allow us to obtain the existence and uniqueness of solutions of nonlinear fractional differential equations associated with the Caputo fractional derivative.
Classification : 47H10
Keywords: Orthogonal metric space, $w$-distance, fixed point, nonlinear fractional differential equation 
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T. Senapati; L. K. Dey; B. Damjanović; A. Chanda. New Fixed Point Results in Orthogonal Metric Spaces With an Application. Kragujevac Journal of Mathematics, Tome 42 (2018) no. 4, p. 505 . http://geodesic.mathdoc.fr/item/KJM_2018_42_4_a2/