This question is about the right English wording.
I give here what I call "counterexamples to Banach fixed-point theorem". What I do, is that I look to what happen if some hypothesis of the theorem are not fulfilled.
I call this "counterexamples to Banach fixed-point theorem". However, I was told that this is not a proper English wording as a theorem cannot have a counterexample! I'm a French native speaker and it seems that a straight translation of "contre-exemples au théorème du point fixe de Banach" is not good.
What would be the appropriate wording to this situation?
Best Answer
How about simply "counterexamples related to the Banach fixed point theorem"?
Or if you want to be more precise, "counterexamples to possible strengthenings of the Banach fixed point theorem".