Stability of General Cubic Mapping in Fuzzy Normed Spaces
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Open Access
|May 2013Abstract
We establish some stability results concerning the general cubic functional equation
f(x + ky) - kf(x + y) + kf(x - y) - f(x - ky) = 2k(k2 - 1)f(y)
for fixed k ℕ\{1} in the fuzzy normed spaces. More precisely, we show under some suitable conditions that an approximately cubic function can be approximated by a cubic mapping in a fuzzy sense and we establish that the existence of a solution for any approximately cubic mapping guarantees the completeness of the fuzzy normed spaces
Language: English
Page range: 129 - 150
Published on: May 17, 2013
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year
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© 2013 S. Javadi, J. M. Rassias, published by Ovidius University of Constanta
This work is licensed under the Creative Commons License.