generalized additive functional inequalities in banach algebras

نویسندگان

c. park

a. najati

چکیده

using the hyers-ulam-rassias stability method, weinvestigate isomorphisms in banach algebras and derivations onbanach algebras associated with the following generalized additivefunctional inequalitybegin{eqnarray}|af(x)+bf(y)+cf(z)|  le  |f(alpha x+ beta y+gamma z)| .end{eqnarray}moreover, we prove the hyers-ulam-rassias stability of homomorphismsin banach algebras and of derivations on banach algebras associatedwith the generalized additive functional inequality (0.1).

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عنوان ژورنال:
international journal of nonlinear analysis and applications

ناشر: semnan university

ISSN

دوره 1

شماره 2 2010

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