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On the stability of some functional equations in Menger $φ$-normed spaces

In: Mathematica Slovaca, vol. 64, no. 1
Dorel Miheţ - R. Saadati
Detaily:
Rok, strany: 2014, 209 - 228
Kľúčové slová:
probabilistic normed space, Hyers-Ulam stability, cubic functional equation, quadratic functional equation, quartic functional equation
O článku:
Recently, the authors [MIHEŢ, D.—SAADATI, R.—VAEZ-POUR, S. M.: The stability of an additive functional equation in Menger probabilistic $φ$-normed spaces, Math. Slovaca 61 (2011), 817–826] considered the stability of an additive functional in Menger $φ$-normed spaces. In this paper, we establish some stability results concerning the cubic, quadratic and quartic functional equations in complete Menger $φ$-normed spaces via fixed point theory.
Ako citovať:
ISO 690:
Miheţ, D., Saadati, R. 2014. On the stability of some functional equations in Menger $φ$-normed spaces. In Mathematica Slovaca, vol. 64, no.1, pp. 209-228. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0197-z

APA:
Miheţ, D., Saadati, R. (2014). On the stability of some functional equations in Menger $φ$-normed spaces. Mathematica Slovaca, 64(1), 209-228. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0197-z
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