Fuzzy stability of multi-additive mappings

Abstract

The main aim of this study is to establish some stability results concerning the multi-additive mappings by applying the so-called direct (Hyers) method and the alternative fixed approach in the setting of fuzzy normed spaces. In addition, it is proven that if a fuzzy approximate multi-additive mapping is continuous at a point, then it can be approximated by an everywhere continuous multi-additive mapping. Comparing the obtained results by the mentioned ways, we observe that the fixed-point tool gives us more exact approximation of approximately multi-additive mappings in comparison to the direct method.