Remark on hyperstability of the general linear equation
By M. Piszczek. 2014
105 citations recorded by the source corpus.
We present a result concerning the hyperstability of the general linear equation. Namely, we show that a function satisfying the equation approximately must be actually a solution to it.
Subfields: Applied Mathematics, Mathematical Physics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/0e2cb92bda15d2ce21d8b88cd13fea1e8e754055
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In Applied Mathematics
- Janusz Brzdek
- Krzysztof Cieplinski
- Justyna Sikorska
- Wlodzimierz Fechner
- Mohammad Sal Moslehian
- Liviu Cadariu
- Choonkill Park
- Madjid Mirzavaziri
In Mathematical Physics
- Krzysztof Cieplinski
- Janusz Brzdek
- Justyna Sikorska
- Wlodzimierz Fechner
- Mohammad Sal Moslehian
- Liviu Cadariu
- Madjid Mirzavaziri
In Numerical Analysis
- Janusz Brzdek
- Justyna Sikorska
- Mohammad Sal Moslehian
- Wlodzimierz Fechner
- Krzysztof Cieplinski
- Liviu Cadariu
Citations in the corpus
- Fixed Point Theory and the Ulam Stability (2014, methodology): “Similar methods (also involving Theorem 42) have been applied for some other equations in [73–78].”
- ON HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES (2015, unknown): “…(cid:107) · (cid:107) X ) be a normed space over F , ( Y , (cid:107) · (cid:107) Y ) be a Banach space over K , c ≥ 0 , p 0 and let the mapping f : X → Y satisfy Next, we will use Theorem 1.6 to prove Proposition 1.3 (for details we refer, for example, to [18]) and Proposition 1.9 (see also [1]).”
- Recent developments of the conditional stability of the homomorphism equation (2015, background): “, in [10, 23, 24, 25, 87] (for further references see [28]).”
- Hyperstability and Superstability (2013, background): “The subsequent theorem has been proved in [40].”