notice vs mention

notice and mention both are nouns.

Word	Noun	Adjective	Verb	Adverb
notice	Yes	No	Yes	No
mention	Yes	No	Yes	No

As verbs, mention is a hypernym of notice; that is, mention is a word with a broader meaning than notice:

Other hypernyms of notice include note, observe, remark.

As verbs, mention is a hyponym of notice; that is, mention is a word with a more specific, narrower meaning than notice:

notice: express recognition of the presence or existence of, or acquaintance with
mention: commend

Other hyponyms of notice include cite.

notice (noun)	mention (noun)
the act of noticing or paying attention	an official recognition of merit
polite or favorable attention	a remark that calls attention to something or someone
a sign posted in a public place as an advertisement	a short note recognizing a source of information or of a quoted passage
an announcement containing information about an event
a request for payment
advance notification (usually written) of the intention to withdraw from an arrangement of contract
a short critical review

notice (verb)	mention (verb)
make or write a comment on	make mention of
express recognition of the presence or existence of, or acquaintance with	commend
notice or perceive	make reference to
discover or determine the existence, presence, or fact of by perception with the eyes