GENERALIZED JENSEN'S FUNCTIONAL EQUATIONS AND APPROXIMATE ALGEBRA HOMOMORPHISMS

Title & Authors
GENERALIZED JENSEN'S FUNCTIONAL EQUATIONS AND APPROXIMATE ALGEBRA HOMOMORPHISMS
Bae, Jae-Hyeong; Park, Won-Gil;

Abstract
We prove the generalized Hyers-Ulam-Rassias stability of generalized Jensen's functional equations in Banach modules over a unital $\small{C^{*}}$-algebra. It is applied to show the stability of algebra homomorphisms between Banach algebras associated with generalized Jensen's functional equations in Banach algebras.
Keywords
stability;Jensen's functional equation;Banach module over $\small{C^{*}}$-algebra;approximate algebra homomorphism;
Language
English
Cited by
1.
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대한수학회보, 2010. vol.47. 1, pp.195-209
2.
A FIXED POINT APPROACH TO THE CAUCHY-RASSIAS STABILITY OF GENERAL JENSEN TYPE QUADRATIC-QUADRATIC MAPPINGS,;;;

대한수학회보, 2010. vol.47. 5, pp.987-996
3.
GENERALIZED ULAM-HYERS STABILITY OF \$C^{\star}\$-TERNARY ALGEBRA 3-HOMOMORPHISMS FOR A FUNCTIONAL EQUATION,;;

충청수학회지, 2011. vol.24. 2, pp.147-162
1.
On the stability of Euler–Lagrange type cubic mappings in quasi-Banach spaces, Journal of Mathematical Analysis and Applications, 2007, 332, 2, 1335
2.
C *-Ternary 3-Homomorphisms on C *-Ternary Algebras, Results in Mathematics, 2014, 66, 1-2, 87
3.
A FIXED POINT APPROACH TO THE CAUCHY-RASSIAS STABILITY OF GENERAL JENSEN TYPE QUADRATIC-QUADRATIC MAPPINGS, Bulletin of the Korean Mathematical Society, 2010, 47, 5, 987
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