The Prophet ﷺ said: “The most beloved of your names to Allah are ʿAbd Allah and ʿAbd al-Rahman” (Muslim 2132), and scholars add to them all names formed on a name of Allah. The name al-Mujib occurs once in the Quran; its page in the 99 Names section gives its meaning and verse.
ʿAbd al-Mujib joins ʿabd with al-Mujib, from the root j-w-b of answering: the One who answers the call of whoever calls upon Him. Salih says to his people: “My Lord is near and responsive” (11:61). The name is mostly given in Bangladesh and India.
And to Thamūd [We sent] their brother Ṣāliḥ. He said, "O my people, worship Allāh; you have no deity other than Him. He has produced you from the earth and settled you in it, so ask forgiveness of Him and then repent to Him. Indeed, my Lord is near and responsive."