How to respond when someone says to you, "I don't like you."

You stop talking to them?

I might say this depending on their demeanor or the frame of mind they might be in: "I'm sorry you feel that way. You're entitled to your opinions....But is there a reason why you don't like me?".

I'm the type of individual that likes to know why a person has ill feelings towards me; especially when I've done nothing wrong to them. But then if I don't find out or get the answer; I'm definitely not going to lose any sleep or lose my appetite over it. Why? Because some people may be jealous or envious of you. Some people may have mental and emotional issues going on. Some hate or dislike you because of your race, religion or your personality, the way you walk, your physical appearance or looks. The list is endless. Whatever the case, life goes on.