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Generalized Ulam-Hyers stability of group and stability of group and ring homomorphisms via a fixed point method

Akkouchi Mohamed

Fasciculi Mathematici

2023

nr 66

23--37

By using the fixed point method, we investigate the generalized Hyers-Ulam stability of group homomorphisms and ring homomorphisms. Our work brings some complements and some continuations to the results obtained previously by R. Badora (On approximate ring homomorphisms published in J. Math. Anal. Appl, 276, (2002), 589-597) and those of D. Zhang and H-X. Cao (Stability of group and ring homomorphisms, Mathematical Inequalities & Applications, 9(3) (2006), 521-528).

On the stability of a Cauchy type functional equation

Najati A., Lee J. R., Park C., Rassias T. M.

Demonstratio Mathematica

2018

Vol. 51, nr 1

323--331

In this work, the Hyers-Ulam type stability and the hyperstability of the functional equation [wzór] are proved.

On the asymptotic behaviour of pexiderized additive mapping on semigroups

Alimohammady M, Sadeghi A

Fasciculi Mathematici

2012

Nr 49

5--14

In this paper some asymptotic behaviors of the Pexiderized additive mappings can be proved for functions on commutative semigroup to a complex normed linear space under some suitable conditions. As a consequence of our result, we give some generalizations of Skof theorem and S.-M. Joung theorem. Furthermore, in this note we present a affirmative answer to problem 18, in the thirty-first ISFE.