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GENERALIZED ADDITIVE FUNCTIONAL INEQUALITIES IN BANACH ALGEBRAS
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نویسنده
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Park C. ,NAJATI A.
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منبع
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international journal of nonlinear analysis and applications - 2010 - دوره : 1 - شماره : 2 - صفحه:54 -62
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چکیده
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Using the hyers-ulam-rassias stability method, we investigate isomorphisms in banach algebras and derivations on banach algebras associated with the following generalized additive functional inequality ‖af(x) + bf(y) + cf(z)‖ ≤ ‖f(αx + βy + γz)‖. (0.1) moreover, we prove the hyers-ulam-rassias stability of homomorphisms in banach algebras and of derivations on banach algebras associated with the generalized additive functional inequality (0.1).
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کلیدواژه
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Hyers-Ulam-Rassias stability ,generalized additive functional inequality ,algebra homomorphism in Banach algebra ,derivation on Banach algebra.
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آدرس
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Hanyang University, Department of Mathematics, Korea, university of mohaghegh ardabili, Faculty of Sciences, Department of Mathematics, ایران
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پست الکترونیکی
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a.nejati@yahoo.com
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Authors
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