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GENERALIZED JENSEN'S FUNCTIONAL EQUATIONS AND APPROXIMATE ALGEBRA HOMOMORPHISMS
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 Title & Authors
GENERALIZED JENSEN'S FUNCTIONAL EQUATIONS AND APPROXIMATE ALGEBRA HOMOMORPHISMS
Bae, Jae-Hyeong; Park, Won-Gil;
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 Abstract
We prove the generalized Hyers-Ulam-Rassias stability of generalized Jensen's functional equations in Banach modules over a unital -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 -algebra;approximate algebra homomorphism;
 Language
English
 Cited by
1.
APPROXIMATE BI-HOMOMORPHISMS AND BI-DERIVATIONS IN C*-TERNARY ALGEBRAS,;;

대한수학회보, 2010. vol.47. 1, pp.195-209 crossref(new window)
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 crossref(new window)
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  crossref(new windwow)
2.
C *-Ternary 3-Homomorphisms on C *-Ternary Algebras, Results in Mathematics, 2014, 66, 1-2, 87  crossref(new windwow)
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  crossref(new windwow)
 References
1.
On approximate ring homomorphisms, 0000.

2.
Complete Normed Algebras, 1973.

3.
Duke Math. J., 1949. vol.16. pp.385-397 crossref(new window)

4.
Math. Scand., 1985. vol.57. pp.249-266

5.
Aeq. Math., 1992. vol.43. pp.211-218 crossref(new window)

6.
Proc. Amer. Math. Soc., 1978. vol.72. pp.297-300 crossref(new window)