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http://dx.doi.org/10.11568/kjm.2011.19.2.149

STABILITY OF THE JENSEN TYPE FUNCTIONAL EQUATION IN BANACH ALGEBRAS: A FIXED POINT APPROACH  

Park, Choonkil (Department of Mathematics Hanyang University)
Park, Won Gil (Department of Mathematics Education Mokwon University)
Lee, Jung Rye (Department of Mathematics Daejin University)
Rassias, Themistocles M. (Department of Mathematics National Technical University of Athens Zografou Campus)
Publication Information
Korean Journal of Mathematics / v.19, no.2, 2011 , pp. 149-161 More about this Journal
Abstract
Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in Banach algebras and of derivations on Banach algebras for the following Jensen type functional equation: $$f({\frac{x+y}{2}})+f({\frac{x-y}{2}})=f(x)$$.
Keywords
Jensen type functional equation; fixed point; homomorphism in Banach algebra; generalized Hyers-Ulam stability; derivation on Banach algebra;
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Times Cited By KSCI : 2  (Citation Analysis)
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