Q 4: Is there any Name that is not permissible to use when naming a person?
Are the names "Al-Rahman (The Most Merciful)" and "Al-Qayyuum among them? Are there any other Names which are not permissible to name any person with?
We have explained with examples the criterion governing the permissibility and the impermissibility of naming a person using any of Allah's Names, in the answers to the second and third questions. (Part No. 2; Page No. 370) Therefore, it is not permissible to name a person "Al-Qayyuum" because it means The Self-Existing by Whom all subsist. This Name is for Allah only.
Ibn Al-Qayyim (may Allah be merciful to him) said in Al-Nuniyyah:Al-Qayyuum is also one of His AttributesAs far as Allah is concerned, this Attribute has two meaningsFirst, He is Self-SufficientSecond, the whole universe depends on Him for their sustenanceThus, the former means that He is in need of noneand the latter means that all creatures are in need of HimMoreover, it is not permissible to name a person, "Al-Rahman" because it is used a lot with Allah and has become one of His Names.
May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.