Hyers--Ulam--Rassias stability of Jensen's functional equation on fuzzy normed linear spaces

Document Type : Research Paper

Authors

1 Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

2 Department of Mathematics, Payame Noor University, Tehran, Iran

Abstract

In this paper, the Hyers--Ulam--Rassias stability of Jensen's functional equation is discussed in detail on fuzzy normed linear spaces. It is shown through the analysis that every fuzzy approximate Jensen-type mapping can be approximated by an additive mapping. The obtained results are the fuzzy versions of some classical theorems.

Keywords