Abstract
A function f : V n→W, where V and W are normed spaces over a field of characteristic different from 2 and n ≥ 1 is an integer, is called multi-Jensen if it satisfies Jensen’s functional equation in each variable. In this note, we provide a proof of a generalized Hyers–Ulam stability of multi-Jensen mappings in non-Archimedean normed spaces, using the so-called direct method.
Mathematics Subject Classification (2000): Primary 39B82, 46S10
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Ciepliński, K. (2011). Stability of Multi-Jensen Mappings in Non-Archimedean Normed Spaces. In: Rassias, T., Brzdek, J. (eds) Functional Equations in Mathematical Analysis. Springer Optimization and Its Applications(), vol 52. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0055-4_6
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