Firstly ask yourself do they make you feel bad about yourself? Do you really want to cut them out? Is there a resolution? Why don’t you want to be friends with this person? We recommend that you speak to somebody about it to make sure your response is rational. If it is, then deal with it, accept that it isn’t your fault and mentally move on. Once you’ve done this, you have 1 of 2 options:
Let the friendship naturally fade out: stop making arrangements, stop replying and distance yourself from them. Eventually, you’ll become increasingly distant until you’re officially no longer friends on Facebook.
Confront them: there are 2 schools of thought surrounding this: confrontation can be good if you’d like to try to resolve things. On the other hand, confrontation can be incredibly empowering if you’ve felt particularly suppressed or upset by somebody. Arguments can be healthy, provided that they don’t put anybody at risk and won’t make situations worse. We’d recommend a mediator to help keep an argument balanced.
For advice on speaking to someone who is bullying you read this guide.