Geodesic
Fixed points of fuzzy multivalued $F$-contractive mappings with a directed graph in parametric metric spaces
Problemy analiza, Tome 13 (2024) no. 3, pp. 79-100

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In the structure of a parametric metric space accompanied by directed graph, we introduce the idea of fuzzy multivalued $F$-contractive mappings. Results related to the existence of common fuzzy fixed points are introduced. The proved results are supported by an example. Our results bring together, sum up, and supplement different familiar related results in the literature. We hope that the acclaimed results in our work will encourage new analysis aspects in fixed-point theory and parallel hybrid models in the literature of fuzzy mathematics supplemented with a graph.
Keywords: $F$-contraction, fuzzy set, fuzzy multivalued mapping, fuzzy fixed point. 
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     author = {M. Rafique and T. Nazir and H. Kalita},
     title = {Fixed points of fuzzy multivalued $F$-contractive mappings with a directed graph in parametric metric spaces},
     journal = {Problemy analiza},
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     publisher = {mathdoc},
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     number = {3},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2024_13_3_a5/}
}
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M. Rafique; T. Nazir; H. Kalita. Fixed points of fuzzy multivalued $F$-contractive mappings with a directed graph in parametric metric spaces. Problemy analiza, Tome 13 (2024) no. 3, pp. 79-100. http://geodesic.mathdoc.fr/item/PA_2024_13_3_a5/