STABILITY OF THE JENSEN'S FUNCTIONAL EQUATION IN MULTI-FUZZY NORMED SPACES

Abstract

In this paper, we define the notion of (dual) multi-fuzzy normed<br />spaces and describe some properties of them.<br /> We then investigate Ulam-Hyers stability of Jensen's functional equation for mappings from linear spaces into<br /> multi-fuzzy normed spaces. We establish an asymptotic behavior of the Jensen equation in the framework of multi-fuzzy normed spaces.