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Fixed Point Theorems And Applications

Hervé Le Dret
Published 2018 · Mathematics

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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.
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