Geodesic
Fixed point results for a new multivalued Geraghty type contraction via CG-simulation functions
Filomat, Tome 37 (2023) no. 28, p. 9709

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DOI

The aim of this paper is to introduce the new concept of a multivalued Geraghty type contraction mapping using CG-simulation functions and C-class functions. Additionally, through this type of contraction, we establish fixed point results that generalize several known fixed point results in the literature. As consequences, we arrive at fixed point results endowed with graph. To demonstrate the credibility of our results, we give an example that proves it.
DOI : 10.2298/FIL2328709T
Classification : 47H10, 37C25 , 47H09
Keywords: fixed point, simulation functions, admissible mapping, C-class functions, Geraghty contraction, CG-class function 
Abdellah Taqbibt; Mohamed Chaib; M; hamed Elomari; Said Melliani. Fixed point results for a new multivalued Geraghty type contraction via CG-simulation functions. Filomat, Tome 37 (2023) no. 28, p. 9709 . doi: 10.2298/FIL2328709T
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     author = {Abdellah Taqbibt and Mohamed Chaib and M and hamed Elomari and Said Melliani},
     title = {Fixed point results for a new multivalued {Geraghty} type contraction via {CG-simulation} functions},
     journal = {Filomat},
     pages = {9709 },
     year = {2023},
     volume = {37},
     number = {28},
     doi = {10.2298/FIL2328709T},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2328709T/}
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