The Australian Journal of Mathematical Analysis and Applications
In this paper, we introduce para-chaotic tuples of operators and we give some relations between para-chaoticity and Hypercyclicity Criterion for a tuple of operators.
Stability of mixed additive-quadratic Jensen type functional equation in various spaces
In this paper, we prove the generalized Hyers-Ulam stability of the following mixed additive-quadratic functional equation: 2f(x+y2)+f(x-y2)+f(y-x2)=f(x)+f(y) in various spaces.
On the stability of the additive Cauchy functional equation in random normed spaces
Some stability results for the functional equations of Cauchy and Jensen in probabilistic setting are proved by using the fixed point method.