All pushing exercises will use your triceps, period...
But open chained exercises such as all variations of fly (fly deck, dumbell fly, cable fly) would shift the agonist to the biceps.. But you cannot perform open chained exercises without weights or machines, and you said you do not have equipment...
yep push ups....My trainer makes us go thru these crazy push up routines...up down, up down. 25 reps then ....half way down and back up 20 reps then ..half way up. and back down ... hands close together , hands far apart.... Then hands stands against a wall lower your head down to the mat and then push yourself up again.
Burninman, that is crazy, but checking out your chest proves that it works!
yes, pushups are excellent for the chest, but I would just like to say:
...[Then hands stands against a wall lower your head down to the mat and then push yourself up] Quote Burninman.
Hand-stand pushups is a VERY advanced exercise and should never be attempted without a spotter. I have treated an athlete who suffered severe head and neck injuries from a failed hand-stand pushup. not pretty.