Approximate Additive Functional Equations in Closed Convex Cone

Authors

  • Hassan Azadi Kenary

DOI:

https://doi.org/10.30495/jme.v0i0.88

Keywords:

Hyers-Ulam stability, C-algebra, fixed point, positive-additive functional equation

Abstract

In this paper, we introduce the following positive-additive functional equation in C*-algebras f x + 4 4 p x3y + 6 p xy + 4 4 p xy3 + y = f(x) + 4f(x) 34 4 p f(y) + 6 p f(x)f(y) + 4f(y) 3 4 4 p f(x) + f(y). Using the fixed point method, we prove the stability of the positiveadditive functional equation in C-algebras. Moreover, we prove the Hyers-Ulam stability of the above functional equation in C-algebras by the direct method of Hyers-Ulam.

Author Biography

Hassan Azadi Kenary

Department of Mathematics Assistant Professor of Mathematics Yasouj University Yasouj, Iran

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Published

2011-05-02

Issue

Vol 5 (2010-2011)

Section

Vol. 5, No. 2(2), (2011)

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