%0 Journal Article %T Approximately -Jordan Homomorphisms on Banach Algebras %A Gordji MEshaghi %A Karimi T %A Kaboli Gharetapeh S %J Journal of Inequalities and Applications %D 2009 %I Springer %X Let , and let be two rings. An additive map is called -Jordan homomorphism if for all . In this paper, we establish the Hyers-Ulam-Rassias stability of -Jordan homomorphisms on Banach algebras. Also we show that (a) to each approximate 3-Jordan homomorphism from a Banach algebra into a semisimple commutative Banach algebra there corresponds a unique 3-ring homomorphism near to , (b) to each approximate -Jordan homomorphism between two commutative Banach algebras there corresponds a unique -ring homomorphism near to for all . %U http://www.journalofinequalitiesandapplications.com/content/2009/870843