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Cognomen Donmez (Donmez , Донмез ) , all around the world, is quite a rare surname. The family name Donmez is characteristic of British Virgin Islands, where it is quite a common surname, Turkey, where it is quite a rare surname, and Belgium. Measured by absolute frequency, the name is most common in Turkey, France, and Belgium. Much less frequently, Donmez is the forename as well as the last name.