Geodesic
A New Fixed Point Result in Graphical $b_v(s)$-Metric Space with Application to Differential Equations
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 3, p. 441 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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In the present paper, motivated by \cite{MR,SS}, first we give a notion of graphical $b_{v}(s)$-metric space, which is a graphical version of $b_{v}(s)$-metric space. Utilizing the graphical Banach contraction mapping we prove fixed point results in graphical $b_{v}(s)$-metric space. Appropriate examples are also presented to support our results. In the end, the main result ensures the existence of a solution for an ordinary differential equation along with its boundary conditions by using the fixed point result in graphical $b_{v}(s)$-metric space.
DOI : 10.46793/KgJMat2403.441B
Classification : 47H10, 54H25, 05C12
Keywords: graph, fixed point, graphical bv(s) metric, graphic Banach contraction 
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Pravin Baradol; Dhananjay Gopal; Nada Damljanović. A New Fixed Point Result in Graphical $b_v(s)$-Metric Space with Application to Differential Equations. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 3, p. 441 . doi: 10.46793/KgJMat2403.441B

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