Fixed Point Theorems And Applications
Published 2018 · Mathematics
If f is a mapping from a set E into itself, any element x of E such that f(x) = x is called a fixed point of f. Many problems, including nonlinear partial differential equations problems, may be recast as problems of finding a fixed point of a certain mapping in a certain space. We will see several examples of this a little later on. It is therefore interesting to have fixed point theorems at our disposal that are as general as possible.