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The famous mathematician David Hilbert once said: amp;quot;The Art of Doing mathematics consists in finding that special case which contains all the germs of generality.amp;quot; What he meant by this is that the mathematicianamp;#39;s ultimate goal is finding truths that apply to the most general of cases. But deep down in mathematics there lurks a little greedy gremlin striving to counter these efforts. For every little bit of generality you try to gain, he takes away something you had before. This tug of war is present in all mathematical disciplines. Here, we are going to look at one of the negotiations with the greedy gremlin on the topic of Fixed Point Theory. But this isnamp;#39;t just the story of different Fixed Point Theorems, but rather the story of the relation between different theorems, and what one sometimes has to give up in order to get a more general result. But what even is a fixed point? Take for example the function f(x) = x Now, a
