A Variant of Jensen’s Functional Equation on Semigroups

Brahim Fadli; Driss Zeglami; Samir Kabbaj

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A Variant of Jensen’s Functional Equation on Semigroups

机译：A Variant of Jensen’s Functional Equation on Semigroups

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摘要

We determine the solutions f : S → H of the following functional equation f(xy) + f(σ(y)x) = 2f(x); x; y ∈ S; and the solutions f 1 ; f 2 ; f 3 : M → H of the functional equation f 1 (xy) + f 2 (σ(y)x) = 2f 31 (x); x; y ∈ M; where S is a semigroup, M is a monoid, H is an abelian group 2-torsion free, and σ is an involutive automorphism.

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来源
《Demonstratio Mathematica》 |2016年第4期|413-420|共8页
作者
Brahim Fadli; Driss Zeglami; Samir Kabbaj;
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作者单位

Department Of Mathematics Faculty Of Sciences, IBN Tofail University Bp: 14000. Kenitra;

Department Of Mathematics E.N.S.A.M, Moulay Ismail University B.P : 15290 Al Mansour;

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正文语种英语
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关键词
Jensen’s eqation; Pexider type equation; monoid; additive function;

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A Variant of Jensen’s Functional Equation on Semigroups

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