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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.