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A Stone-Weierstrass theorem for certain discontinuous functions

โœ Scribed by Bruno Brosowski; Antonio R. da Silva


Publisher
Springer
Year
1997
Tongue
English
Weight
160 KB
Volume
13
Category
Article
ISSN
1573-8175

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A fixed point theorem for discontinuous
โœ P. Jean-Jacques Herings; Gerard van der Laan; Dolf Talman; Zaifu Yang ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 153 KB

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.