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Alienation of the Quadratic and Additive Functional Equations
Analysis Mathematica, 2019Let G, H be uniquely 2-divisible Abelian groups. We study the solutions f, g: G → H of Pexider type functional equation (*) $$f(x+y)+f(x-y)+g(x+y)=2f(x)+2f(y)+g(x)+g(y),$$ resulting from ...
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On Set-Valued Solutions of a Generalized Bi-quadratic Functional Equation
, 2020Iz-iddine El-Fassi +2 more
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Jensen and Quadratic Functional Equations on Semigroups
2012Let S be a commutative semigroup, σ:S→S an endomorphism of order 2, G a 2-cancellative abelian group, and n a positive integer. One of the goals of this paper is to determine the general solutions of the functional equations f 1(x+y)+f 2(x+σy)=f 3(x) and also f 1(x+y)+f 2(x+σy)=f 3(x)+f 4(y) for all x,y∈S n , where f 1,f 2,f 3,f 4:S n →G are unknown ...
Prasanna K. Sahoo, Esteban A. Chávez
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Journal of Fixed Point Theory and Applications, 2019
K. Y. N. Sayar, A. Bergam
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K. Y. N. Sayar, A. Bergam
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On the Stability of an Additive and Quadratic Functional Equation
2012In Park et al. (J. Chungcheong Math. Soc. 21:455–466, 2008) considered the following Jensen additive and quadratic type functional equation $$2 f \biggl(\frac{x+y}{2} \biggr) + f \biggl( \frac{x-y}{2} \biggr ) + f \biggl(\frac{y-x}{2} \biggr) = f(x) + f(y) .
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Set-Valued Solutions of a Generalized Quadratic Functional Equation
Results in Mathematics, 2018A. Baias, Bianca Moșneguțu, D. Popa
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Stability of a mixed additive and quadratic functional equation in quasi-Banach spaces
, 2018N. Dung, VO Thi LE Hang
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