The stability of an additive functional equation in menger probabilistic φ-normed spaces

Abstract

ABSTRACT. We establish a stability result concerning the functional equation:in a large class of complete probabilistic normed spaces, via fixed point theory.

Stability of a cubic functional equation in intuitionistic random normed spaces

“…Later, a number of mathematicians worked on the stability of some types of the cubic equation [4,13] . Mirmostafaee et al [14][15] , Alsina [16] , Miheţ et al [17][18][19] , Baktash et al [20] , and Saadati et al [21] investigated the stability in the settings of fuzzy, probabilistic, and random normed spaces.…”

On nonlinear stability in various random normed spaces

“…Recently, Alsina [18], Chang, et al [19], Mirmostafaee et al [20], [21], Miheţ and Radu [22], Miheţ et al [23], [24], [25], [26], Baktash et al [27], Eshaghi et al [28], Saadati et al [29], [30] investigated the stability in the settings of fuzzy, probabilistic, and random normed spaces.…”

Lattictic non-archimedean random stability of ACQ functional equation

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