A Variant of Jensen’s Functional Equation on Semigroups-Reference-Cited by-同舟云学术

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A Variant of Jensen’s Functional Equation on Semigroups

Published:2016-12-01 Issue:4 Volume:49 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:
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Author:

Fadli Brahim,Zeglami Driss,Kabbaj Samir

Abstract

AbstractWe determine the solutions f : S → H of the following functional equationf(xy) + f(σ(y)x) = 2f(x); x; y ∈ S;and the solutions ffwhere S is a semigroup, M is a monoid, H is an abelian group 2-torsion free, and σ is an involutive automorphism.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2016-0035/pdf

Reference16 articles.

1. On Wilson s functional equations;Ebanks;Math,2015

2. A variant of Wilson s functional equation;Fadli;Math Debrecen,2015

3. A variant of d Alembert s functional equation;Stetkær;Math,2015

4. s functional equation on groups III;Ng;Math,2001

5. s functional equation on groups;Ng;Math,1990

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Jensen’s functional equation on semigroups;Acta Mathematica Hungarica;2023-06

2. Alienation of Drygas’, Cauchy’s, Jensen’s and the quadratic equations on semigroups with an involutive automorphism;Aequationes mathematicae;2022-05-11

3. Nice results about quadratic type functional equations on semigroups;Aequationes mathematicae;2019-06-06

4. A special class of functional equations;Mathematica Slovaca;2018-03-31

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