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On the ray-walker extension of the Caristi-Kirk fixed point theorem

✍ Scribed by Sehie Park; Jong Sook Bae


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
102 KB
Volume
9
Category
Article
ISSN
0362-546X

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We give two combinatorial proofs of Franks' Theorem, that an area preserving torus homeomorphism with mean rotation zero has a fixed point. The first proof uses Lax's version of the Marriage Theorem. The second proof uses Euler's Theorem on circuits in graphs and an explicit method of Alpern for dec