Dan Marceliu Dăianu

Solving a nonlinear functional inequality

Abstract We solve the inequality $$\begin{aligned} \left\| f\left( x^{2}+yf\left( z\right) \right) -xf\left( x\right) -af\left( y\right) z\right\| \le \epsilon \end{aligned}$$ f x 2 + y f z - x f x - a f y z ≤ ϵ on some domains in a composition algebra with division $$\left( A,\l...