The name "Malki" does mean "my king"......... in Hebrew, not Arabic.
Malki meaning and name origin
Malki \m(a)-lki, mal-ki\ as a boy's name is of
Hebrew origin, and the meaning of Malki is "my king". The root of Melchior, one of the three kings' names.
Malki has 6 variant forms: Malcam, Malkam, Malkiel, Malkior, Malkiya and Mehlech.
Suggested similar baby names are Malak, Malaki, Malakia, Malakie, Malek, Maleki, Malik, Maliq and Mallik.
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Malki - meaning of Malki name