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.
โฆ LIBER โฆ
A Theorem on Points of Discontinuity of Functions
โ Scribed by Yim-Ming, W.
- Book ID
- 120098397
- Publisher
- Oxford University Press
- Year
- 1965
- Tongue
- English
- Weight
- 68 KB
- Volume
- s1-40
- Category
- Article
- ISSN
- 0024-6107
No coin nor oath required. For personal study only.
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