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

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

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 Jense...

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Veröffentlicht in:Iranian journal of fuzzy systems (Online) 2017-06, Vol.14 (3), p.105
1. Verfasser: Khanehgir, Mahnaz
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Mathematicians
Norms
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Zusammenfassung: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.
ISSN:1735-0654
2676-4334
DOI:10.22111/ijfs.2017.3258