Abstract
As was seen above in Corollary 1.2, there is no difficulty in generalizing Theorem 1.1 to mappings from a commutative semigroup S to a Banach space. We note here that the property of commutativity was used only in demonstrating the additivity of the mapping g.
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© 1998 Springer Science+Business Media New York
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Hyers, D.H., Isac, G., Rassias, T.M. (1998). Generalizations. The Method of Invariant Means. In: Stability of Functional Equations in Several Variables. Progress in Nonlinear Differential Equations and Their Applications, vol 34. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1790-9_5
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DOI: https://doi.org/10.1007/978-1-4612-1790-9_5
Publisher Name: Birkhäuser, Boston, MA
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