Mathematics – Functional Analysis
Scientific paper
2009-03-06
Mathematics
Functional Analysis
11 pages
Scientific paper
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
$$f(2x+y)+f(2x-y)=4[f(x+y)+f(x-y)]+2[f(2x)-4f(x)]-6f(y).$$
Gordji Eshaghi M.
Park Chan
Savadkouhi Bavand M.
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