On subclasses of Browder and Weyl operators

The main purpose of this paper, is to introduce and study the classes $(a{b}_e)$ and $(a{w}_e)$ which are strongly related to what has been recently studied in \cite{aznay-zariouh}. Furthermore, we give the connection between these classes and those that have been studied in \cite{berkani-zariouh0}. We also give an affirmative answer to a question asked in \cite{aznay-zariouh}.