If you are unable to perform pushups, and do not have access to dumbbells, resistance bands, or a chin-up bar, you still have several options available for exercising biceps. 

Probably the most accessible method would be to perform isometric resistance training through self-applied counter-force; place the palms of your hands together and contract one arm towards your shoulder while simultaneously pushing against the contracting motion with the other arm, providing the resistance that will train your biceps, triceps, and shoulders at the same time.

Another option that requires no equipment is an exercise called a door-frame hold. To perform this exercise, stand in a doorway and face towards one side of the door-frame. Grab the door-frame with two hands and place your toes against the door-frame so your body is parallel with the frame of the door. Leaving your toes connected with the door-frame, slowly lean back while gripping the frame until your arms are fully extended, then pull yourself back towards the door-frame. Repeat until your muscles start to feel strained.

If you are still unable to perform either of these options because of your injury, hopefully they will at least give you an idea for your own bicep training routine.
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