JOURNAL BROWSE
Search
Advanced SearchSearch Tips
GENERALIZED JENSEN`S FUNCTIONAL EQUATIONS AND APPROXIMATE ALGEBRA HOMOMORPHISMS
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
GENERALIZED JENSEN`S FUNCTIONAL EQUATIONS AND APPROXIMATE ALGEBRA HOMOMORPHISMS
Bae, Jae-Hyeong; Park, Won-Gil;
  PDF(new window)
 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,

2.
Complete Normed Algebras,

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

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

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

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