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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).