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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

Refined stability of additive and quadratic functional equations in modular spaces. [PDF]

J Inequal Appl, 2017
Kim HM, Shin HY.
europepmc   +1 more source

A general theorem on the stability of a class of functional equations including quadratic-additive functional equations. [PDF]

Springerplus, 2016
Lee YH, Jung SM.
europepmc   +1 more source

On the Ulam-Hyers stability of a quadratic functional equation

Journal of Inequalities and Applications, 2011
The Ulam-Hyers stability problems of the following quadratic equation r 2 f x + y r + r 2 f x - y r = 2 f ( x ) + 2 f ( y ) , where r is a nonzero rational number, shall be treated.
Park Won-Gil, Bae Jae-Hyeong, Lee Sang-Baek   +2 more
doaj  

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

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On stability and nonstability of systems of functional equations

Quaestiones Mathematicae, 2021
Hamid Khodaei
exaly  

On approximation of approximately generalized quadratic functional equation via Lipschitz criteria

Quaestiones Mathematicae, 2019
Iz-iddine EL-Fassi
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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