Approximation of the multiplicatives on random multi-normed space

Abstract

In this paper, we consider random multi-normed spaces introduced by Dales and Polyakov (Multi-Normed Spaces, 2012). Next, by the fixed point method, we approximate the multiplicatives on these spaces.

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“…Recently, some authors have published some papers on stability of functional equations in several spaces by the direct method and the fixed point method, for example, Banach spaces [6][7][8], fuzzy Menger normed algebras [9], fuzzy normed spaces [10], non-Archimedean random Lie C * -algebras [11], non-Archimedean random normed spaces [12], random multinormed space [13], random lattice normed spaces, and random normed algebras [14,15]. In [16,17], the authors studied the stability problem for fractional equations.…”

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