Temat: Generalized Hyers-Ulam stability - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Solution and Generalized Ulam-Hyers Stability of a Reciprocal Type Functional Equation in Non-Archimedean Fields
Autorzy:: Kumar, B. V. Senthil
Ravi, K.
Rassias, J. M.
Powiązania:: https://bibliotekanauki.pl/articles/1193002.pdf
Data publikacji:: 2016
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Generalized Hyers-Ulam stability
Reciprocal function
Reciprocal type functional equation
Opis:: In this paper, we obtain the general solution of a reciprocal type functional equation of the type f(x+y)=f((k_1 x+k_2 y)/k)f((k_2 x+k_1 y)/k)/(f((k_1 x+k_2 y)/k)+f((k_2 x+k_1 y)/k) ) and investigate its generalized Ulam-Hyers stability in non-Archimedean fields where k>2, k_1 and k_2 are positive integers with k=k_1+k_2 and k_1≠k_2. We also establish Hyers-Ulam-Rassias stability, Ulam-Gavruta-Rassias stability and J.M. Rassias stability controlled by the mixed product-sum of powers of norms for the same equation.
Źródło:: World Scientific News; 2016, 31; 48-58
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Approximate homomorphisms and derivation in multi-Banach algebras
Autorzy:: Agarwal, Ravi P.
Cho, Yeol Je
Park, Choonkil
Saadati, Reza
Powiązania:: https://bibliotekanauki.pl/articles/1912850.pdf
Data publikacji:: 2011
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Additive functional equation
fixed point
homomorphism in multi-Banach algebra
generalized Hyers-Ulam stability
derivation on multi-Banach algebra
multi-normed space
Opis:: Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in multi-Banach algebras and derivations on multi-Banach algebras for the additive functional equation \[ \sum_{i=1}^m f\left(mx_i+\sum_{j=1, j\not=i}^m x_j\right) + f\left(\sum_{i=1}^m x_i\right) = 2 f \left(\sum_{i=1}^{m} mx_i\right) \] for each \(m\in \mathbb{N}\) with \(m\geq 2\).
Źródło:: Commentationes Mathematicae; 2011, 51, 1
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

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