Relativist Fallacy describes the belief that there is no objective reality.
For many, this is the central argument behind the Postmodern movement. It is also contingent on the principle of relevant difference in that if the two items being compared have a relevant difference between individuals, there may indeed be a substantial relative difference.
They say that two plus two equals four, but it doesn't necessarily for me.
They say that gravity is a fixed law, but I'm pretty sure it works differently for everybody.
They say that schizophrenics are having hallucinations, but maybe they're perfectly sane and we don't see their sensible reality.
Where you come from it's a problem for me to say that I am bleeding and not bleeding at the same time, but in my mind, it's not a contradiction, so you will have to sort out your logic issues.
It's important to observe that sometimes there are meaningful differences between people that can justify arguing in a similar pattern. For example, my neice had to be careful around her friends who had chickenpox, whereas I do not. The reason is that I'm immune due to previous exposure.