The Contraction Mapping Theorem and the Bellman Equation
The Contraction Mapping Theorem
Topology: Video 17, contraction mappings part 1, summer 2026
Metric Spaces 9: Contraction Mapping Theorem
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Last Updated: October 2, 2026
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This video is part of the Udacity course "Reinforcement Learning". Watch the full course at udacity.com/course/ud600. This video looks at an intriguing equation as an excuse to introduct the Please note that Patrick recaps the last lecture near the start and you may want to pause those slides. You can find that lecture ... Dr. Theodore Shifrin, professor at the University of Georgia, presents material from his textbook: Multivariable Mathematics: Linear ... This weird expression of taking cos over and over again is just a sequence x_n=cos(x_{n-1}). There is a very cool theorem called ... mathematics 00:00 - 06:00 Motivation: Kepler's equation 06:00 - 13:27 The solution 13:27 - 39:14 ... This presentation was made for Truman State University's Mathematics Capstone course. We pursue a semi-rigorous proof of the ... In your metric space X So this is the definition of a contraction or you might call it a Lecture notes: drive.google.com/file/d/1vhedDoJK8t9lXmdlAN9GUc28zW804KMr/view?usp=sharing Full playlist: ...