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The Banach Fixed Point Theorem

Offered By: NPTEL-NOC IITM via YouTube

Tags

Functional Analysis Courses Mathematical Analysis Courses Topology Courses

Course Description

Overview

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Explore the fundamental concept of the Banach fixed point theorem in this concise 14-minute lecture. Delve into the mathematical principles behind this important theorem, understanding its applications and significance in functional analysis. Gain insights into how this theorem relates to contraction mappings and its role in proving the existence and uniqueness of fixed points in complete metric spaces. Enhance your understanding of advanced mathematical concepts through this focused presentation from NPTEL-NOC IITM.

Syllabus

16.1 The Banach fixed point theorem


Taught by

NPTEL-NOC IITM

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