DY Shin, C Park, S Farhadabadi - Journal of Computational …, 2014 - search.ebscohost.com
In this paper, we prove the superstability of ternary Jordan C< sup>*-homomorphisms associated with the following Cauchy-Jensen functional equation: f (x+ y/2+ z)+ f (x+ z/2+ y)+ …
S Shagholi, ME Gordji… - … Analysis & Applications, 2011 - search.ebscohost.com
Let A be a ternary Banach algebra with norm||-||< sub> A and B be a ternary Banach algebra with norm||-||< sub> B. A mapping D: A→ B is called a ternary quadratic derivation if D be a …
S Shagholi, ME Gordji… - … Analysis & Applications, 2011 - search.ebscohost.com
Let A, B be two ternary algebras. A mapping H: A→ B is called a ternary cubic homomorphism if H is a cubic function, which satisfies: H ([x, y, z])=[H (x), H (y), H (z)] for all …
ME Gordji, N Ghobadipour - International Journal of Geometric …, 2010 - World Scientific
Petr Novotný and Jiřĺ Hrivnák [14] investigated and generalized the concept of Lie derivations via certain complex parameters and obtained various Lie and Jordan operator …
In the current work, we obtain the general solution of the following generalized cubic functional equation &f (x+ my)+ f (x-my)\&\quad= 2\left (2\cos\left (m π 2\right)+ m^ 2-1\right) f …
Let A be a C∗-ternary algebra. A C-bilinear T: A× A→ A is called a C∗-ternary algebra bi- multiplier, if it satisfies T ([abc], d)=[T (a, b) cd], T (a,[bcd])=[ab T (c, d)] for all a, b, c, d∊ A …
ME Gordji, MB Ghaemi, B Alizadeh - International Journal of …, 2011 - World Scientific
A FIXED-POINT METHOD FOR PERTURBATION OF HIGHER RING DERIVATIONS IN NON-ARCHIMEDEAN BANACH ALGEBRAS Page 1 International Journal of Geometric Methods in Modern Physics …
ME Gordji - Abstract and Applied Analysis, 2010 - Wiley Online Library
We prove the generalized Hyers‐Ulam stability of homomorphisms and derivations on non‐ Archimedean Banach algebras. Moreover, we prove the superstability of homomorphisms …