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On the Hyers–Ulam stabilities of functional equations on ‐Banach spaces |
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| Authors: | Hahng‐Yun Chu Ahyoung Kim Jinhae Park |
| Institution: | Department of Mathematics, Chungnam National University, Yuseong‐gu, Daejeon, South Korea |
| Abstract: | The purpose of this article is to generalize the theory of stability of functional equations to the case of n‐Banach spaces. In this article, we prove the generalized Hyers–Ulam stabilities of the Cauchy functional equations, Jensen functional equations and quadratic functional equations on n‐Banach spaces. |
| Keywords: | n‐Banach space Cauchy mappings Jensen mappings quadratic mappings the generalized Hyers– Ulam stability Primary: 39B72 Secondary: 46B20 39B82 51M25 |