Are "He to Whom belongs sovereignty," "Possessor of Sovereignty," and "Doer of whatsoever He wills" considered among the established Beautiful Names of Allah?

Allah Almighty is "the Possessor" (Al-Malik) and "the Sovereign" (Al-Maleek). However, "the One to Whom belongs the Dominion" (Alladhi lahu al-Mulk) is not one of Allah's Beautiful Names. Rather, it appeared in His saying: (Whatever is in the heavens and whatever is on the earth glorifies Allah. To Him belongs all sovereignty, and to Him belongs all praise, and He is over all things competent) [Qur'an 64:1].

As for "King of all Sovereignty" (Malik al-Mulk), it is an ascribed name, as in His saying: (Say, "O Allah, Owner of Sovereignty, You give sovereignty to whom You will") [Qur'an 3:26].

And "the Doer of whatever He wills" (al-Fa''aal lima yureed) is also an ascribed name, as in His saying: (Indeed, your Lord is the Doer of whatever He wills) [Qur'an 11:107]. This name indicates the perfection of Allah's power and the enforcement of His will, and that every matter He wills, He does it without any hindrance.