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The stability of an additive functional equation in Menger probabilistic $φ$-normed spaces

In: Mathematica Slovaca, vol. 61, no. 5
D. Miheţ - R. Saadati - S. M. Vaezpour
Detaily:
Rok, strany: 2011, 817 - 826
Kľúčové slová:
probabilistic normed space, Hyers-Ulam-Rassias stability, additive functional equation, fixed point theorem
O článku:
We establish a stability result concerning the functional equation:

$$ ∑i=1sup>mf(mxi+∑j=1, j\neq imxj) +f(∑i=1mxi) =2f(∑i=1mmxi) $$

in a large class of complete probabilistic normed spaces, via fixed point theory.
Ako citovať:
ISO 690:
Miheţ, D., Saadati, R., Vaezpour, S. 2011. The stability of an additive functional equation in Menger probabilistic $φ$-normed spaces. In Mathematica Slovaca, vol. 61, no.5, pp. 817-826. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0049-7

APA:
Miheţ, D., Saadati, R., Vaezpour, S. (2011). The stability of an additive functional equation in Menger probabilistic $φ$-normed spaces. Mathematica Slovaca, 61(5), 817-826. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0049-7
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