Results 151 to 160 of about 1,144 (174)

Stability of a quartic functional equation

open access: yesJournal of Fixed Point Theory and Applications, 2018
The authors introduce an {\(n\)-dimensional quartic functional equation} and show that this new equation generalizes some known {quartic functional equations}. The main task of the paper is to verify the stability (in the Ulam-Hyers sense) of the \(n\)-dimensional quartic equation for mappings between a normed space and a Banach space. Two such results
Sandra Pinelas   +2 more
exaly   +5 more sources

The Stability of the Quartic Functional Equation in Random Normed Spaces

Acta Applicandae Mathematicae, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Reza Saadati   +2 more
exaly   +3 more sources

Quartic functional equations in Lipschitz spaces

Rendiconti Del Circolo Matematico Di Palermo, 2015
The stability of quartic functional equations in Lipschitz norms is verified.
Ismail Nikoufar, Nikoufar Ismail
exaly   +2 more sources

Stability of a mixed type cubic–quartic functional equation in non-Archimedean spaces

open access: yesApplied Mathematics Letters, 2010
In this paper, we prove the Hyers–Ulam–Rassias stability of the mixed type cubic–quartic functional equation f(x+2y)+f(x−2y)=4(f(x+y)+f(x−y))−24f(y)−6f(x)+3f(2y) in non-Archimedean normed ...
M Eshaghi Gordji
exaly   +2 more sources

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