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   Stability and superstability of generalized (θ,φ)-derivations in non-archimedean algebras: Fixed point theorem via the additive cauchy functional equation  
   
نویسنده gordji m.e. ,ghaemi m.b. ,kim g.h. ,alizadeh b.
منبع journal of applied mathematics - 2011 - دوره : 2011 - شماره : 0
چکیده    Let a be an algebra,and let θ,φ be ring automorphisms of a. an additive mapping h: a → a is called a (θ,φ)-derivation if h (x y) = h (x)θ(y) + φ(x) h (y) for all x,y ∈ a. moreover,an additive mapping f: a → a is said to be a generalized (θ,φ) -derivation if there exists a (θ,φ) -derivation h: a → a such that f (x y) = f (x) θ (y) + φ(x) h (y) for all x,y ∈ a. in this paper,we investigate the superstability of generalized (θ,φ) -derivations in non-archimedean algebras by using a version of fixed point theorem via cauchys functional equation. copyright © 2011 m. eshaghi gordji et al.
آدرس semnan university, ایران, iran university of science and technology, ایران, department of mathematics,kangnam university,yongin, South Korea, technical and vocational faculty of tabriz technical and vocational,university of iran,p.o. box 51745-135, ایران
 
     
   
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