All Arrhenius acids are Bronsted acids: According to Arrhenius, an acid is a substance that yields hydrogen ions in an aqueous solution. According to Bronsted concept, an acid is a substance that can donate a proton (H+ ion). Both definitions require an acid to be a source of protons. Thus HCl is an acid according to both the theories. Therefore, all Arrhenius acids are also Bronsted acids.
All Arrhenius bases are not Bronsted bases: According to Arrhenius concept, a base is a substance that dissociates in aqueous solution to give hydroxyl ions. According to Bronsted concept, a base is a substance that accepts a proton, e.g. NaOH is a base according to Arrhenius concept because it yields OH– ions in aqueous solution.But NaOH does not accept a proton as such, thus it is not a base according to Bronsted concept. Therefore, all Arrhenius bases are not Bronsted bases.