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

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).

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Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).