Geodesic
Multivalued $FG$-Contraction Mappings on Directed Graphs
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 6, p. 943 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 this paper, we study generalized $\mathbb{FG}$-contraction conditions for a pair of mappings defined on a family of subsets of a metric space endowed with a directed graph, and discuss coincidence and common fixed point results relaxing the continuity of mappings. The given notions and results are exemplified by suitable models. We apply our results to the problem of existence of solutions of a Fredholm integral inclusion.
Classification : 47H10, 54H25 
@article{KJM_2022_46_6_a8,
     author = {Hemant Kumar Nashine and Zoran Kadelburg},
     title = {Multivalued $FG${-Contraction} {Mappings} on {Directed} {Graphs}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {943 },
     year = {2022},
     volume = {46},
     number = {6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2022_46_6_a8/}
}
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Hemant Kumar Nashine; Zoran Kadelburg. Multivalued $FG$-Contraction Mappings on Directed Graphs. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 6, p. 943 . http://geodesic.mathdoc.fr/item/KJM_2022_46_6_a8/