On pseudoadditive mappings

Zygfryd Kominek

Published: 2008-09-30

Vol. 22 (2008)

On pseudoadditive mappings

Zygfryd Kominek

Abstract

We solve the following functional equation
f(x+y+z) + g(x+y) = q(z) + p(y) + h(x),
where f, g, q, p, h are unknown functions transforming a semigroup into a group.

Keywords:

additive mappings , Pexider equation on (non-commutative) semigroups

Download files

PDF

Citation rules

Kominek, Z. (2008). On pseudoadditive mappings. Annales Mathematicae Silesianae, 22, 41–44. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14050

Similar Articles

Raghavendra G. Kulkarni, Insert a root to extract a root of quintic quickly , Annales Mathematicae Silesianae: Vol. 33 (2019)
Bruce Ebanks, The cosine-sine functional equation on semigroups , Annales Mathematicae Silesianae: Vol. 36 No. 1 (2022)
Bruce Ebanks, A Levi–Civita equation on monoids, two ways , Annales Mathematicae Silesianae: Vol. 36 No. 2 (2022)
Ahmed Akkaoui, Brahim Fadli, New results about quadratic functional equation on semigroups , Annales Mathematicae Silesianae: 2024: Online First
Eliza Jabłońska, On almost everywhere K-additive set-valued maps , Annales Mathematicae Silesianae: Vol. 38 No. 1 (2024)
Roman Badora, Barbara Przebieracz, Peter Volkmann, Stability of the Pexider functional equation , Annales Mathematicae Silesianae: Vol. 24 (2010)
Kazimierz Nikodem, The stability of the Pexider equation , Annales Mathematicae Silesianae: Vol. 5 (1991)
Detlef Gronau, Maciej Sablik, A functional equation arising from an asymptotic formula for iterates , Annales Mathematicae Silesianae: Vol. 8 (1994)
PL. Kannappan, P.K. Sahoo, J.K. Chung, An equation associated with the distance between probability distributions , Annales Mathematicae Silesianae: Vol. 8 (1994)
Roman Badora, On approximately additive functions , Annales Mathematicae Silesianae: Vol. 8 (1994)

1 2 3 4 5 6 7 8 9 10 > >>

You may also start an advanced similarity search for this article.

Vol. 22 (2008)
Published: 2008-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

Submit

This website uses cookies for proper operation, in order to use the portal fully you must accept cookies.