Honey, if he’s asked to meet and date other girls he is NOT a “boyfriend” - or any type that you want. If you have both agreed on it - and gave him permission to date other girls then I guess you could call it an “open relationship”. However, judging from your plea, it sounds like you’re not ok with this at all. He is being greedy. He wants to date other girls but at the same time keep you at his side? If he can’t agree to be exclusive or you can’t trust him to be, you need to leave his ass.