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arXiv · 0903.1160

Quadratic--quartic functional equations in RN--spaces

M. Eshaghi Gordji·M. Bavand Savadkouhi·C. Park
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Abstract

In this paper, we obtain the general solution and the stability result for the following functional equation in random normed spaces (in the sense of Sherstnev) under arbitrary $t$-norms $$f(2x+y)+f(2x-y)=4[f(x+y)+f(x-y)]+2[f(2x)-4f(x)]-6f(y).$$

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M. Eshaghi Gordji, M. Bavand Savadkouhi, C. Park. 2009-03-06. Quadratic--quartic functional equations in RN--spaces. https://arxiv.org/abs/0903.1160

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