Title of article :
Stability of a mixed functional equation in several variables on Banach modules
Original Research Article
Author/Authors :
Abbas Najati، نويسنده , , Themistocles M. Rassias، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
Abstract :
In this paper, we establish the general solution of the functional equation
View the MathML source∑i=1nf(xi−1n∑j=1nxj)=∑i=1nf(xi)−nf(1n∑i=1nxi)(n≥2),
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and use a fixed point method to prove its generalized Hyers–Ulam stability in Banach modules over a unital Banach algebra.
Keywords :
Generalized Hyers–Ulam stability , Quadratic function , Additive function , Generalized metric space , Fixed point , Banach module , Unital Banach algebra
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications
