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SOLUTIONS AND STABILITY OF GENERALIZED MIXED TYPE QCA-FUNCTIONAL EQUATIONS IN RANDOM NORMED SPACES
Journal article   Open access  Peer reviewed

SOLUTIONS AND STABILITY OF GENERALIZED MIXED TYPE QCA-FUNCTIONAL EQUATIONS IN RANDOM NORMED SPACES

M. Eshaghi Gordji, Y. J. Cho, H. Khodaei and M. Ghanifard
Analele ştiinţifice ale Universitatii "Al. I. Cuza" din Iaşi. Secţiunea 1a: Matematicǎ, Vol.59(2), pp.299-320
01/01/2013
DOI: https://doi.org/10.2478/v10157-012-0047-2

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we investigate the general solution and the generalized stability for the quartic, cubic and additive functional equation ( briefly, QCA- functional equation) f(x + ky) + f(x - ky) = k(2) f(x + y) + k(2) f(x - y) + (k(2) - 1)(k(2) f(y) + k(2) f(-y) - 2 f (x)); for any k is an element of Z -{0, +/- 1} g in Menger probabilistic normed spaces.
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https://doi.org/10.2478/v10157-012-0047-2View
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