http://hdl.handle.net/20.500.12128/20632
Tytuł: | On Stability of a General Bilinear Functional Equation |
Autor: | Bahyrycz, Anna Sikorska, Justyna |
Słowa kluczowe: | Hyers–Ulam stability; Generalized stability; Functional equation; Fixed point; Nonlinear operator; Linear operator |
Data wydania: | 2021 |
Źródło: | "Results in Mathematics" (2021), Vol. 76, iss. 3, art. no. 143 |
Abstrakt: | We prove the Hyers–Ulam stability of the functional equation f(a1x1 + a2x2, b1y1 + b2y2) = C1f(x1, y1) (∗) + C2f(x1, y2) + C3f(x2, y1) + C4f(x2, y2) in the class of functions from a real or complex linear space into a Banach space over the same field. We also study, using the fixed point method, the generalized stability of (∗) in the same class of functions. Our results generalize some known outcomes. |
URI: | http://hdl.handle.net/20.500.12128/20632 |
DOI: | 10.1007/s00025-021-01447-w |
ISSN: | 1422-6383 |
Pojawia się w kolekcji: | Artykuły (WNŚiT) |
Plik | Opis | Rozmiar | Format | |
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Bahyrycz_Sikorska_on_stability_of_a_general.pdf | 588,72 kB | Adobe PDF | Przejrzyj / Otwórz |
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