Fixed-point theorems

Browder fixed-point theorem

The Browder fixed-point theorem is a refinement of the Banach fixed-point theorem for uniformly convex Banach spaces. It asserts that if is a nonempty convex closed bounded set in uniformly convex Banach space and is a mapping of into itself such that (i.e. is non-expansive), then has a fixed point. (Wikipedia).

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Paul Shafer:Reverse mathematics of Caristi's fixed point theorem and Ekeland's variational principle

The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: Caristi's fixed point theorem is a fixed point theorem for functions that are controlled by continuous functions but are necessarily continuous themselves. Let a 'Caristi

From playlist Workshop: "Proofs and Computation"

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What is a fixed point?

In this video, I prove a very neat result about fixed points and give some cool applications. This is a must-see for calculus lovers, enjoy! Old Fixed Point Video: https://youtu.be/zEe5J3X6ISE Banach Fixed Point Theorem: https://youtu.be/9jL8iHw0ans Continuity Playlist: https://www.youtu

From playlist Calculus

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Fixed points and stability: one dimension

Shows how to determine the fixed points and their linear stability of a first-order nonlinear differential equation. Join me on Coursera: Matrix Algebra for Engineers: https://www.coursera.org/learn/matrix-algebra-engineers Differential Equations for Engineers: https://www.coursera.org

From playlist Differential Equations

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A beautiful combinatorical proof of the Brouwer Fixed Point Theorem - Via Sperner's Lemma

Using a simple combinatorical argument, we can prove an important theorem in topology without any sophisticated machinery. Brouwer's Fixed Point Theorem: Every continuous mapping f(p) from between closed balls of the same dimension have a fixed point where f(p)=p. Sperner's Lemma: Ever

From playlist Cool Math Series

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Don't Hire a Robot Lawyer

No you can't bring ChatGPT into the courtroom 🕵️ Boost your online privacy with NordVPN https://legaleagle.link/nordvpn Welcome back to LegalEagle. The most avian legal analysis on the internets. 🚀 Watch my next video early & ad-free on Nebula! https://legaleagle.link/watchnebula 👔 Suit

From playlist Law Review News!

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Paolo Piazza: Surgery sequences and higher invariants of Dirac operators

Talk by Paolo Piazza in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on March 10, 2021

From playlist Global Noncommutative Geometry Seminar (Europe)

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Lawless Economy? Putin's Russia and the Imperfect Market - Bill Browder

World Disorder Lecture Series: Lawless Economy? Bill Browder December 2, 2016 In this public lecture, Bill Browder, Founder and Chief Executive Officer of Hermitage Capital Management, will give a firsthand critical analysis of the Russian economy–—particularly the absence of the rule of

From playlist Public Lectures

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Nonlinear ode: fixed points and linear stability

An example of a nonlinear ode. How to compute fixed points and determine linear stability. Free books: http://bookboon.com/en/differential-equations-with-youtube-examples-ebook http://www.math.ust.hk/~machas/differential-equations.pdf

From playlist Differential Equations with YouTube Examples

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Lecture 2: From Soviet Communism to Russian Gangster Capitalism

What led to the dissolution of the Soviet Union, and why did it collapse so peacefully? Prof. Ian Shapiro discusses the events leading up to the fall of the Communist regime and its aftermath, including the rise of "gangster capitalism" in Russia, the transition from President Boris Yeltsi

From playlist Power and Politics in Today’s World

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Chatbot Defeats Only Thing More Evil Than Chatbots: Parking Tickets | HowStuffWorks NOW

A 19-year-old programmer built a chatbot designed to do one thing: overturn parking tickets. MUSIC: ‘Something Wobbly’ by Broke for Free VIDEO CLIPS: Two chatbots talk and argue with each other. https://www.youtube.com/watch?v=uBqiQ_Faj4Y How to make chatbot for facebook messenger https

From playlist Chatbots

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Nonlinear odes: fixed points, stability, and the Jacobian matrix

An example of a system of nonlinear odes. How to compute fixed points and determine linear stability using the Jacobian matrix. Join me on Coursera: https://www.coursera.org/learn/differential-equations-engineers Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirm

From playlist Differential Equations with YouTube Examples

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Fixed and Periodic Points | Nathan Dalaklis

Fixed Points and Periodic points are two mathematical objects that come up all over the place in Dynamical systems, Differential equations, and surprisingly in Topology as well. In these videos, I introduce the concepts of fixed points and periodic points and gradually build to a proof of

From playlist The New CHALKboard

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Will Bots Replace Lawyers? - Joshua Browder (DoNotPay)

The law is widely considered as society’s operating system. Despite its importance, over 80 percent of the legal needs of the poor are unmet. The law relies on information and rules, something that technology is unsurprisingly good at handling. Over the past year, Joshua Browder has been

From playlist Next:Economy Summit 2016

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Erik Pedersen Bounded K and L theory

The lecture was held within the framework of Follow-up Workshop TP Rigidity. 29.4.2015

From playlist HIM Lectures 2015

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Christoph Winges: Automorphisms of manifolds and the Farrell Jones conjectures

The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Building on previous work of Bartels, Lück, Reich and others studying the algebraic K-theory and L-theory of discrete group rings, the validity of the Farrell-Jones Conjecture has be

From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"

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Tony Bahri, Research talk - 10 February 2015

Tony Bahri (Rider University) - Research talk http://www.crm.sns.it/course/4350/ I shall describe geometric and algebraic approaches to the computation of the cohomology of polyhedral products arising from homotopy theory. A report on joint work with Martin Bendersky, Fred Cohen and Sam G

From playlist Algebraic topology, geometric and combinatorial group theory - 2015

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What are opposite rays

👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li

From playlist Points Lines and Planes

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What are opposite rays

👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li

From playlist Points Lines and Planes

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Moment-Angle Complexes, Spaces of Hard-Disks and Their Associated Stable Decompositions - Fred Cohen

Moment-Angle Complexes, Spaces of Hard-Disks and Their Associated Stable Decompositions Fred Cohen University of Rochester; Member, School of Mathematics January 10, 2011 Topological spaces given by either (1) complements of coordinate planes in Euclidean space or (2) spaces of non-overlap

From playlist Mathematics

Related pages

Chebyshev center | Delta-convergence | Banach space | Opial property | Uniformly convex space | Fixed point (mathematics) | Banach fixed-point theorem | Felix Browder | Convex set