Fuzzy HUR stability of partitioned functional equations

Sharifi, Alireza; Azadi Kenary, Hassan

doi:10.22075/ijnaa.2023.27677.3679

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	Fuzzy HUR stability of partitioned functional equations
International Journal of Nonlinear Analysis and Applications
مقاله 5، دوره 14، شماره 7، مهر 2023، صفحه 57-72 اصل مقاله (451.22 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.27677.3679
نویسندگان
Alireza Sharifi^* ¹؛ Hassan Azadi Kenary²
¹Department of Mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran Iran
²Department of Mathematics, Yasouj University, Yasouj, Iran
تاریخ دریافت: 10 تیر 1401، تاریخ بازنگری: 29 بهمن 1401، تاریخ پذیرش: 27 فروردین 1402
چکیده
In this paper, we establish the Hyers-Ulam-Rassias stability of the following functional equation $$ (4p)^nf\left(\frac{x_1+\cdots +x_{(4p)^n}}{(4p)^n}\right) + 4p\sum_{i=1}^{(4p)^{n-1}} f\left(\frac{x_{4pi-4p+1} + \cdots +x_{4pi}}{4p}\right) = 2 \sum_{i=1}^{(4p)^n} f\left(\frac{x_i+x_{i+1}}{2}\right) $$ in fuzzy Banach spaces.
کلیدواژه‌ها
Fuzzy relations؛ Analysis؛ Hyers-Ulam-Rassias stability؛ Fuzzy normed space

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Fuzzy HUR stability of partitioned functional equations