On the stability of an n-dimensional cubic functional equation |
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| Authors: | Hahng-Yun Chu Dong Seung Kang |
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| Affiliation: | a Department of Mathematics, Seoul National University, San 56-1, Shilim, Kwanak, Seoul 151-741, Republic of Korea
b Department of Mathematics Education, Dankook University, 147, Hannam, Yongsan, Seoul 140-714, Republic of Korea |
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| Abstract: | Let n?2 be an integer number. In this paper, we investigate the generalized Hyers-Ulam-Rassias stability in Banach spaces and also Banach modules over a Banach algebra and a C∗-algebra, and the stability using the alternative fixed point of an n-dimensional cubic functional equation in Banach spaces: |
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| Keywords: | Hyers-Ulam-Rassias stability Cubic mapping |
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