Approximately J*-homomorphisms: A fixed point approach

JOURNAL OF GEOMETRY AND PHYSICS

卷:60

Article

Gordji, M. Eshaghi²  Najati, A.¹ 

[1] Univ Mohaghegh Ardabili, Dept Math, Ardebil, Iran

[2] Semnan Univ, Dept Math, Semnan, Iran

关键词: Alternative fixed point;    Generalized Hyers-Ulam stability;    J*-homomorphism;    J*-algebra;   

DOI  :  10.1016/j.geomphys.2010.01.012

来源: Elsevier

【 摘 要 】

The functional equation (xi) is stable if any function g satisfying the equation (xi) approximately is near to the true solution of (xi). A functional equation is superstable if every solution satisfying the equation approximately is an exact solution of it. Using fixed point methods, we prove the stability and superstability of J*-homomorphisms between J*-algebras for the generalized Jensen-type functional equation f (x+y/2) + f(x-y/2) = f (x). (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free