Geodesic
On the stability of multicubic-quartic and multimixed cubic-quartic mappings
Filomat, Tome 36 (2022) no. 3, p. 1031

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DOI

In this paper, we define the multicubic-quartic and the multimixed cubic-quartic mappings and characterize them. In other words, we unify the system of functional equations defining a multimixed cubic-quartic (resp., multicubic-quartic) mapping to a single equation, namely, the multimixed cubic-quartic (resp., multicubic-quartic) functional equation. We also show that under what conditions a multimixed cubic-quartic mapping can be multicubic, multiquartic and multicubic-quartic. Moreover, by using a fixed point theorem, we study the generalized Hyers-Ulam stability of multimixed cubic-quartic functional equations in non-Archimedean normed spaces. As a corollary, we show that every multimixed cubic-quartic mapping under some mild conditions can be hyperstable. Lastly, we present a non-stable example for the multiquartic mappings
DOI : 10.2298/FIL2203031A
Classification : 39B52, 39B72, 39B82, 46B03
Keywords: Fixed point method, Hyers-Ulam stability, multicubic-quartic mapping, multimixed cubic-quartic mapping, non- Archimedean normed space 
Zohreh Abbasbeygi; Abasalt Bodaghi; Ayoub Gharibkhajeh. On the stability of multicubic-quartic and multimixed cubic-quartic mappings. Filomat, Tome 36 (2022) no. 3, p. 1031 . doi: 10.2298/FIL2203031A
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     title = {On the stability of multicubic-quartic and multimixed cubic-quartic mappings},
     journal = {Filomat},
     pages = {1031 },
     year = {2022},
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     doi = {10.2298/FIL2203031A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2203031A/}
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