Results 71 to 80 of about 120 (95)

Generalized Hyers–Ulam stability of mixed-type additive-quartic mappings in 2-Banach spaces

Demonstratio Mathematica
This paper aims to explore the stability of a mixed-type additive-quartic functional equation in 2-Banach spaces via the direct method. We categorize mappings satisfying a certain functional inequality into odd, even, and general mappings, and establish ...
Ponmana Selvan Arumugam, Onitsuka Masakazu, Lakshmi Velu   +2 more
doaj   +1 more source

Functional Equations with an Anti-Endomorphism for Functions with Multidimensional Codomains

Annales Mathematicae Silesianae
Let S be a semigroup, ℍ be the skew field of quaternions, and ψ: S → S be an anti-endomorphism. We determine the general solution of the functional equation g(xy)-g(xψ(y))=2g(x)g(y),          x, y∈S,g\left( {xy} \right) - g\left( {x\psi \left( y \right)}
Ouhabi Ayoub, Zeglami Driss, Ayoubi Mohamed   +2 more
doaj   +1 more source

Lipschitz stability of the K-quadratic functional equation

, 2018
Let N be the set of all positive integers, G an Abelian group with a metric d and E a normed space. For any f : G → E we define the k-quadratic difference of the function f by the formula Qk ƒ(x; y) := 2ƒ(x) + 2k2ƒ(y) - f(x + ky) - f(x - ky) for x; y ∈ G
Chahbi, Abdellatif, Kabbaj, Samir, EL-Fassi, Iz-iddine   +2 more
core  

On Baire measurable solutions of some functional equations

Open Mathematics, 2009
Baron Karol
doaj   +1 more source

Some remarks on the stability of the multi-Jensen equation

Open Mathematics, 2013
Schwaiger Jens
doaj   +1 more source

Commutativity of set-valued cosine families

Open Mathematics, 2014
Smajdor Andrzej, Smajdor Wilhelmina
doaj   +1 more source

On approximation of approximately generalized quadratic functional equation via Lipschitz criteria

Quaestiones Mathematicae, 2019
Let G be an Abelian group with a metric d and E ba a normed space. For any f : G → E we define the generalized quadratic difference of the function f by the formulaQkf(x, y) := f(x + ky) + f(x - ky) - f(x + y) - f(x - y) - 2(k2 - 1) f(y)for all x, y ∈ G ...
Iz-Iddine El-Fassi
exaly   +1 more source

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On stability and nonstability of systems of functional equations

Quaestiones Mathematicae, 2021
Bahman Hayati, Hamid Khodaei, Madjid Eshaghi   +2 more
exaly  

On a functional equation related to some entropies in information theory

Journal of Discrete Mathematical Sciences and Cryptography, 2018
Dhiraj Kumar Singh, Pranav Dass
exaly  

Stability of a Jensen type functional equation

Banach Journal of Mathematical Analysis, 2007
Soon-Yeong Chung, Young-Su Lee
exaly