While both the proton and the positron are subatomic particles with a +1 automatic positive charge, they do have some marked differences. The positrons are the same size as the electrons. Both positrons and electrons are considerably smaller than the protons. Also, positrons are not involved in the atomic number of an element. The element is labeled by an atomic number, which is determined by the number of protons located in the nucleus of the atom.
Another difference between the two is that the positron is actually considered the antiparticle or antimatter opposite of the electrons. Antiparticles have characteristics that are unique to antiparticles. Positrons also undergo a process called annihilation, which is the low energy collision between positrons and electrons producing gamma-ray photons. Protons do not experience this process and are stable when isolated.