Christoph Neuner: A Converse of Banach's Fixed Point Theorem
Time: Fri 2016-11-11 13.15 - 14.15
Location: Room 306, House 6, Kräftriket, SU
Participating: Christoph Neuner, SU
In a complete nonempty metric space every contraction has a unique fixed point. Conversely, it turns out that a self-map on a nonempty set having a unique fixed point implies that there is a complete metric such that this selfmap is a contraction. I will talk about this theorem due to Bessaga and some related results.