Fuzzy HUR stability of partitioned functional equations
نویسندگان
1 Department of Mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran Iran
2 Department of Mathematics, Yasouj University, Yasouj, Iran
doi
10.22075/ijnaa.2023.27677.3679چکیده
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.
