Jesus mentions loving your enemies in multiple gospels in the bible and I will not be discussing all of them
But these are the four factors I will consider
1. Bless those who curse you:
To me this does not mean to radiate altruism around a jerk but rather to avoid being offended by their behaviour and to treat them with the same kindness and courtesy and respect you show those who do not challenge your emotional tolerance levels
2. Pray for those who persecute you:
To me this does not mean you shoulder the responsibility of giving your opponents a get out of jail free card or that you attempt to make up for their short comings with your own energy and sacrifice - rather - it means you try to change the abuser not by associating or arguing with them but by praying for them from a safe physical or relational or emotional distance. Sometimes people want their enemies to be evil because they hate their enemies so much they want to double their punishment in the eyes of God. This passage says do not try to enforce more punishment than necessary by baiting or provoking or exploiting their bad habits but instead try to enlighten and improve their behaviour by not cherishing or treasuring their humiliation and punishment.
3. Do foot to hate you and despitefully use you.
To me this means to offer the same service and protection of self interest to an evil person that you offer to a good person and let God do the enforcing of their behaviour is out of line.
4. If somebody slaps you on the right cheek turn to him the other also.
I do not believe this means allowing people to exploit your emotions by empowering them to injure you even more because the bible says love your neighbour as yourself- it does not say love your neighbour more than you love yourself - neither does it say love your neighbour BUT not yourself. Rather I believe it means do not allow past deeds or failures to tarnish your vision and openness and do not approach a person or society with a culture of suspicion and emotional pessimism based on past grievances.
5. If somebody wants to sue you and take your cloak, let him have your tunic as well.
i believe this passage means both to be unconcerned with your reputation and also be content with your situation when you have been reduced by the works of others rather than trying to usurp an established boundary by expectedly demanding payment for a past transgressions or moral oversight by others when they assign reduced acknowledgement or unnecessary blame to you. Be content with your lowered position and do not seek validation - even from those who dislike you for deceptive and untrue reasons.
ALL FIVE EXAMPLES DEAL WITH NOT BEING OFFENDED OR MORALLY BOUND TO THE FAILURES OF OTHERS BUT TO ACT BY YOUR OWN CODE AND ONLY BY YOUR OWN ETHICAL AND EMOTIONAL CODE.
Do not allow a villain to corrupt you by engaging their antics or being led astray by their hatred.