Title of article :
STABILITY OF THE JENSEN'S FUNCTIONAL EQUATION IN MULTI-FUZZY NORMED SPACES
Author/Authors :
Khanehgir, Mahnaz Department of Mathematics - Mashhad Branch - Islamic Azad University, Mashhad, Iran
Abstract :
In this paper, we define the notion of (dual) multi-fuzzy normed
spaces and describe some properties of them.
We then investigate Ulam-Hyers stability of Jensen's functional equation for mappings from linear spaces into
multi-fuzzy normed spaces. We establish an asymptotic behavior of the Jensen equation in the framework of multi-fuzzy normed spaces.
Keywords :
Fuzzy normed space , Ulam-Hyers stability , Jensen's functional equation , Multi-normed space
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)