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On the generalized Hyers-Ulam stability of multi-quadratic mappings |
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| Authors: | Krzysztof Ciepliński |
| Abstract: | A mapping f:Vn?W, where V is a commutative group, W is a linear space, and n≥2 is an integer, is called multi-quadratic if it is quadratic in each variable. In this paper, we prove the generalized Hyers-Ulam stability of multi-quadratic mappings in Banach spaces and complete non-Archimedean spaces. |
| Keywords: | Stability Multi-quadratic mapping Non-Archimedean space Direct method Fixed point method |
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