... Hyers, On the stability of the linear functional equation,” Proceedings of the National Academy of Sciences of the United States of America, vol. 27, pp. 222–224, 1941.3 T. Aoki, On the stability ... stability of the linear transformation in Banach spaces,” Journal of the MathematicalSociety of Japan, vol. 2, pp. 64–66, 1950.4 Th. M. Rassias, On the stability of the linear mapping in Banach spaces,” ... 1/ 2in 2.1, we get the Jensen’s functional equation. In the present paper, we establish the generalsolution and some stability results concerning the functional equation 2.1 in normed spacesfor...