From Longman Dictionary of Contemporary Englishbroadmindedbroad‧mind‧ed, broad-minded /ˌbrɔːdˈmaɪndɪd◂ $ ˌbrɒːd-/ adjective STRICTwilling to respect opinions or behaviour that are very different from your own OPP narrow-minded Her parents were broadminded, tolerant, and liberal. —broad-mindedness noun [uncountable] → small-minded
Examples from the Corpus
broadminded• I rather think he will be very broadminded.• There was no point in being stuffy; it would attract new readers, show that the paper was iconoclastic, broadminded.• My parents are broadminded, liberal and understanding to the extent that I probably could never match. 