Geodesic
The cubic ρ-functional equation in matrix non-Аrchimedean random normed spaces
Filomat, Tome 34 (2020) no. 8, p. 2643

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DOI

Using the direct method and fixed point method, we investigate the Hyers-Ulam stability of the following cubic ρ-functional equation f (x + 2y) + f (x − 2y) − 2 f (x + y) − 2 f (x − y) − 12 f (x) = ρ ( 4 f (x + y 2 ) + 4 f (x − y 2 ) − f (x + y) − f (x − y) − 6 f (x) ) in matrix non-Archimedean random normed spaces, where ρ is a fixed real number with ρ , 2.
DOI : 10.2298/FIL2008643W
Classification : 39B82, 39B72, 47H10, 46L07
Keywords: Cubic ρ-functional equation, fixed point method, Hyers-Ulam stability, matrix non-Archimedean random normed spaces, non-Archimedean random normed spaces 
Zhihua Wang; Chaozhu Hu. The cubic ρ-functional equation in matrix non-Аrchimedean random normed spaces. Filomat, Tome 34 (2020) no. 8, p. 2643 . doi: 10.2298/FIL2008643W
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     author = {Zhihua Wang and Chaozhu Hu},
     title = {The cubic \ensuremath{\rho}-functional equation in matrix {non-{\CYRA}rchimedean} random normed spaces},
     journal = {Filomat},
     pages = {2643 },
     year = {2020},
     volume = {34},
     number = {8},
     doi = {10.2298/FIL2008643W},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2008643W/}
}
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