Why do you think it's called reflexive?

Because it refers back to the subject

Look at this example:

Он решает свои проблемы
Он решает его проблемы

These two have different meanings:

The first one uses a reflexive pronoun so it autamtically means that:

He solves his own problem - Not somebody else's!

The second one uses a possesive pronoun and in that case it doesn't refer back to the subject like a reflexive pronoun does. So it means:

He solves some other man's problems.

Examine these two carefully and your question will just answer itself