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we prove the Hyers-Ulam-Rassias stability of CÃ¢ÂˆÂ—-algebra homomorphisms and of generalized derivations on CÃ¢ÂˆÂ—-algebras for the following Cauchy-Jensen functional equation 2f((x+y)/2+z)=f(x)+f(y)+2f(z), which was introduced and investigated by Baak (2006). The concept of Hyers-Ulam-Rassias stability originated from the stability theorem of Th. M. Rassias that appeared in (1978)

fixed point theory and applications

Stability of the Cauchy-Jensen Functional Equation in "Equation missing" -Algebras: A Fixed Point Approach

Stability of the Cauchy-Jensen Functional Equation in "Equation missing" -Algebras: A Fixed Point Approach