Komið sæl,
Fyrsti
fyrirlestur haustsins verður haldinn í dag. 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.
Með kveðju,