Department of Mathematics, Beyza Branch, Islamic Azad University, Beyza, Iran.
Abstract
In this paper, using fixed point method, we prove the generalized Hyers-Ulam stability of random homomorphisms in random -algebras and random Lie -algebras and of derivations on Non-Archimedean random C-algebras and Non-Archimedean random Lie C-algebras for the following -variable additive functional equation: The concept of Hyers-Ulam-Rassias stability originated from Th. M. Rassias� stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.
Azadi Kenary, H. , Toorani, A. , & Heidarzadegan, A. (2013). Fixed point approach to the Hyers-Ulam-Rassias approximation of homomorphisms and derivations on Non-Archimedean random Lie -algebras. Caspian Journal of Mathematical Sciences, 2(1), 55-66.
MLA
H. Azadi Kenary; A. Toorani; A. Heidarzadegan. "Fixed point approach to the Hyers-Ulam-Rassias approximation of homomorphisms and derivations on Non-Archimedean random Lie -algebras", Caspian Journal of Mathematical Sciences, 2, 1, 2013, 55-66.
HARVARD
Azadi Kenary, H., Toorani, A., Heidarzadegan, A. (2013). 'Fixed point approach to the Hyers-Ulam-Rassias approximation of homomorphisms and derivations on Non-Archimedean random Lie -algebras', Caspian Journal of Mathematical Sciences, 2(1), pp. 55-66.
CHICAGO
H. Azadi Kenary , A. Toorani and A. Heidarzadegan, "Fixed point approach to the Hyers-Ulam-Rassias approximation of homomorphisms and derivations on Non-Archimedean random Lie -algebras," Caspian Journal of Mathematical Sciences, 2 1 (2013): 55-66,
VANCOUVER
Azadi Kenary, H., Toorani, A., Heidarzadegan, A. Fixed point approach to the Hyers-Ulam-Rassias approximation of homomorphisms and derivations on Non-Archimedean random Lie -algebras. Caspian Journal of Mathematical Sciences, 2013; 2(1): 55-66.
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