Title of article
Hyers–Ulam–Rassias stability of Cauchy–Jensen functional equation in RN-spaces
Author/Authors
Azadi Kenary، H نويسنده , , Keshavarz، H نويسنده ,
Issue Information
فصلنامه با شماره پیاپی سال 2015
Pages
8
From page
71
To page
78
Abstract
Using the fixed point and direct methods, we prove the Hyers–Ulam stability of the following Cauchy–Jensen functional equation.
2f(∑pi=1xi+∑qj=1yj2+∑k=1dzk)=∑i=1pf(xi)+∑j=1qf(yj)+2∑k=1df(zk)
where p,q,d are positive integers, in random normed spaces.
Keywords
Hyers–Ulam–Rassias stability , Cauchy–Jensen functional equation , Fixed point method , random normed spaces
Journal title
Mathematical Sciences
Serial Year
2015
Journal title
Mathematical Sciences
Record number
2404868
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