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

	Hyers--Ulam--Rassias stability of Jensen's functional equation on fuzzy normed linear spaces
International Journal of Nonlinear Analysis and Applications
مقاله 234، دوره 14، شماره 1، فروردین 2023، صفحه 3011-3023 اصل مقاله (390.15 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.21151.2236
نویسندگان
Morteza Saheli^* ¹؛ Hadi Saedi Goraghani¹^{، 2}
¹Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
²Department of Mathematics, Payame Noor University, Tehran, Iran
چکیده
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.
کلیدواژه‌ها
Fuzzy norm؛ Fuzzy normed linear space؛ Functional equation
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