Fixed Point Theorem - Search Videos

Fixed Point Theorems (including Contraction Mappings) and Proof Sketches

YouTubeBill Kinney

Fixed Point Theorems (including Contraction Mappings) and Proof Sketches

Suppose the continuous function g maps the closed interval [a,b] into itself (so g:[a,b]–»[a,b]). Then g has at least one fixed point. If g is a contraction mapping such that |g'(x)| is bounded by a positive number less than 1 on the open interval (a,b), then g has a unique fixed point. The ideas of the proofs of these are based on the ...

2.9K viewsFeb 17, 2023

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