Abstract
In this paper we establish the stability of a Jensen type functional equation, namely f(xy) - f(<TEX>$xy^{-1}$</TEX>) = 2f(y), on some classes of groups. We prove that any group A can be embedded into some group G such that the Jensen type functional equation is stable on G. We also prove that the Jensen type functional equation is stable on any metabelian group, GL(n, <TEX>$\mathbb{C}$</TEX>), SL(n, <TEX>$\mathbb{C}$</TEX>), and T(n, <TEX>$\mathbb{C}$</TEX>).
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