On an equation characterizing multi-Jensen-quadratic mappings and its Hyers–Ulam stability via a fixed point method

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作者
Anna Bahyrycz
Krzysztof Ciepliński
机构
[1] AGH University of Science and Technology,Faculty of Applied Mathematics
关键词
Multi-Jensen-quadratic mapping; (generalized) Hyers–Ulam stability; fixed point method; non-Archimedean space; 39B52; 39B72; 39B82; 47H10;
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摘要
In this paper, we unify the system of functional equations defining a multi-Jensen-quadratic mapping to obtain a single equation. We also prove, using the fixed point method, the generalized Hyers–Ulam stability of this equation both in Banach spaces and in complete non-Archimedean normed spaces.
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页码:737 / 751
页数:14
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