come up vs come near

come up and come near both are verbs.

Word	Noun	Adjective	Verb	Adverb
come up	No	No	Yes	No
come near	No	No	Yes	No

As verbs, come near is a hyponym of come up; that is, come near is a word with a more specific, narrower meaning than come up:

come up: move toward, travel toward something or somebody or approach something or somebody
come near: come near in time

Other hyponyms of come up include emanate, accost, address, come up to, approach, approach, come on, draw close, draw near, go up, near.

come up (verb)	come near (verb)
result or issue	move towards
start running, functioning, or operating	come near in time
gather or bring together	almost do or experience something
gather (money or other resources) together over time
bring forth, usually something desirable
come up, of celestial bodies
come to the surface
move toward, travel toward something or somebody or approach something or somebody
move upward
get something or somebody for a specific purpose
originate or come into being
be mentioned