Geodesic
Fixed point theorem for a new Sf - Gf - contraction mappings in metric space with supportive applications
Filomat, Tome 37 (2023) no. 23, p. 7955

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DOI

This manuscript has for goal to present a new type of contraction, namely SF- GF- contraction, based on the simulation function and the Geraghty function. Some existence and uniqueness results of fixed point in complete metric spaces have been shown with this contraction. Our results generalize and unify several existing results in the literature. Moreover, we illustrated these results with some examples and applications.
DOI : 10.2298/FIL2323955T
Classification : 37C25, 47H10, 47H09
Keywords: Simulation function, Admissible mapping, Geraghty functions, Fixed point theory, Contraction mapping, Fractional differential equations 
Abdellah Taqbibt; Mohamed Chaib; M; hamed Elomari; Said Melliani. Fixed point theorem for a new Sf - Gf - contraction mappings in metric space with supportive applications. Filomat, Tome 37 (2023) no. 23, p. 7955 . doi: 10.2298/FIL2323955T
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     author = {Abdellah Taqbibt and Mohamed Chaib and M and hamed Elomari and Said Melliani},
     title = {Fixed point theorem for a new {Sf} - {Gf} - contraction mappings in metric space with supportive applications},
     journal = {Filomat},
     pages = {7955 },
     year = {2023},
     volume = {37},
     number = {23},
     doi = {10.2298/FIL2323955T},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2323955T/}
}
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