Fyrirlestur hjá Íslenska stærðfræðafélaginu

[Íslenska stærðfræðafélagið]

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Fyrsti fyrirlestur haustsins verður haldinn fimmtudaginn 14. september. Þar mun Małgorzata Terepeta, prófessor við Tækniháskólann í Łódź, Póllandi halda fyrirlestur um sögu fastapunktssetningu Banachs. Við byrjum kl. 16.30 með kaffi og meðlæti og fyrirlesturinn hefst kl 17. Athugið að fyrirlesturinn fer fram á ensku.

Fyrirlesari: Małgorzata Terepeta

Staður: Háskóli Íslands, Askja, stofa N-132

Tími: 14. september, 16.30 - 18.00.

Titill: History of the Banach Fixed Point Theorem

Ágrip: On June 24, 1920 Stefan Banach presented his doctoral dissertation titled O operacjach na zbiorach abstrak-cyjnych i ich zastosowaniach do równań całkowych (On operations on abstract sets and their applications to integral equations) to the Philosophy Faculty of Jan Kazimierz University in Lvov. He passed his PhD examinations in mathematics, physics and philosophy, and in January 1921 he received his PhD degree. A year later, he published the results of his doctorate in Fundamenta Mathematicae. Among them there was the theorem known today as the Banach Fixed Point Theorem or the Banach Contraction Principle. It is one of the most famous theorems in mathematics, one of many under the name of Banach. It concerns certain mappings (called contractions) of a complete metric space into itself and it gives the conditions sufficient for the existence and uniqueness of a fixed point of such mapping. In 2022 we had a centenary of publishing this theorem and we in the talk there will be presented its most important modifications and generalizations, several contractive conditions, the converse theorems and some applications.

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