Geodesic
Well-posedness and Ulam's stability of functional equations in F -metric space with an application
Filomat, Tome 36 (2022) no. 16, p. 5573

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DOI

In this paper, we consider a fixed point problem related to some contraction mappings and introduce new classes of Picard operators for such mappings in the framework of F-metric space, yielding some interesting and novel results. As application of the obtained results, we investigate the Hyers-Ulam stability of a fixed point problem, a Cauchy functional equation, and an integral equation. Also, we present the well-posedness of the fixed point problem and integral equation. Some illustrative examples are also provided to support the new findings.
DOI : 10.2298/FIL2216573S
Classification : 39B52, 39B82, 47H10
Keywords: Fixed point, Picard operator, Wb-contraction, φb-contraction, F -metric space, Hyers-Ulam stability 
Ravinder Kumar Sharma; Sumit Chandok. Well-posedness and Ulam's stability of functional equations in F -metric space with an application. Filomat, Tome 36 (2022) no. 16, p. 5573 . doi: 10.2298/FIL2216573S
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     author = {Ravinder Kumar Sharma and Sumit Chandok},
     title = {Well-posedness and {Ulam's} stability of functional equations in {F} -metric space with an application},
     journal = {Filomat},
     pages = {5573 },
     year = {2022},
     volume = {36},
     number = {16},
     doi = {10.2298/FIL2216573S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2216573S/}
}
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