Synopsis: Lectures 12-13 (2021-22)

Sunday, May 29, 2022 at 6:57 PM
- written by user ΑΡΒΑΝΙΤΗΣ ΣΤΥΛΙΑΝΟΣ

We concluded with further remarks and examples on the notion of Lipschitz continuity. We proceeded with the introduction of some general aspects of fixed point theory, and the examination of the proof and corollaries of the Banach Fixed Point Theorem. We have started our preparations for the examination of applications involving the establishement of the existence and uniqueness of functional equations, by among others proving Blackwell's Lemma.
 
Notes for the above can be found here and here. The whiteboards from analogous previous year's lectures (please keep in mind that those are not necessarily identical to the current lectures but they contain some common elements) can be found here and here.
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