Geodesic
Fixed point results via hesitant fuzzy mapping on extended b-metric spaces
Filomat, Tome 37 (2023) no. 14, p. 4743

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DOI

In the present research article, the notion of hesitant fuzzy mapping, contraction hesitant fuzzy mapping, generalized contraction of hesitant fuzzy mapping are introduced in setting of extended b-metric structure, which in particular case reduced to b-metric space. The newly introduced concepts are used to prove hesitant fuzzy fixed point theorems. The main results have extended and unified recent results in literature. The results are validated with the help of examples. Finally, as an application, the results are applied to solve integral equation of fredholm type.
DOI : 10.2298/FIL2314743B
Classification : 47H10, 54H25
Keywords: Fixed point, Hesitant fuzzy set, extended b-metric space, Hesitant fuzzy mapping 
Ankit Bamel; Vizender Sihag; Bijender Singh. Fixed point results via hesitant fuzzy mapping on extended b-metric spaces. Filomat, Tome 37 (2023) no. 14, p. 4743 . doi: 10.2298/FIL2314743B
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     author = {Ankit Bamel and Vizender Sihag and Bijender Singh},
     title = {Fixed point results via hesitant fuzzy mapping on extended b-metric spaces},
     journal = {Filomat},
     pages = {4743 },
     year = {2023},
     volume = {37},
     number = {14},
     doi = {10.2298/FIL2314743B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2314743B/}
}
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