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A fixed point theorem for rings

✍ Scribed by Serge Dubuc


Book ID
112647908
Publisher
Springer
Year
1969
Tongue
English
Weight
147 KB
Volume
20
Category
Article
ISSN
0003-889X

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Any function from a non-empty polytope into itself that is locally gross direction preserving is shown to have the fixed point property. Brouwer's fixed point theorem for continuous functions is a special case. We discuss the application of the result in the area of non-cooperative game theory.