Lattictic non-archimedean random stability of ACQ functional equation

Abstract

In this paper, we prove the generalized Hyers-Ulam stability of the following additive-cubic-quartic functional equation11f (x + 2y) + 11f (x − 2y)in various complete lattictic random normed spaces.

On the Stability of Cubic and Quadratic Mapping in Random Normed Spaces under ArbitraryT-Norms

“…We refer the interested readers for more information on such problems to the papers [5][6][7][8][9]. In addition, some authors investigated the stability in the settings of fuzzy, probabilistic, and random normed spaces, and for more details see [10][11][12][13][14][15][16][17][18][19][20][21][22].…”

Hyers-Ulam stability of derivations on proper Jordan CQ*-algebras

“…In 1994, a generalization of Rassias' Theorem was obtained by Găvruta [5]. Since then, several stability problems for various functional equations have been investigated by numerous mathematicians (see [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25], M Eshaghi Gordji, unpublished work).…”

Approximate lie brackets: a fixed point approach

“…Rassias [3] considered the stability problem with unbounded Cauchy differences. The stability problems of several functional equations have extensively been investigated by a number of authors and there are many interesting results concerning this problem (see [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]). …”