The stability of a cubic type functional equation with the fixed point alternative |
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| Authors: | Yong-Soo Jung Ick-Soon Chang |
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| Affiliation: | a Institute of Basic Science, Seowon University, Cheongju, Chungbuk 361-742, South Korea
b Department of Mathematics Chungnam, National University, Taejon 305-764, South Korea |
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| Abstract: | In this note we investigate the generalized Hyers-Ulam-Rassias stability for the new cubic type functional equation f(x+y+2z)+f(x+y−2z)+f(2x)+f(2y)=2[f(x+y)+2f(x+z)+2f(x−z)+2f(y+z)+2f(y−z)] by using the fixed point alternative. The first systematic study of fixed point theorems in nonlinear analysis is due to G. Isac and Th.M. Rassias [Internat. J. Math. Math. Sci. 19 (1996) 219-228]. |
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| Keywords: | Stability Cubic function Fixed point alternative |
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