Discontinuity and Fixed Points
β Scribed by R.P. Pant
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 54 KB
- Volume
- 240
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
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.
Our purpose is to present some connections between modal incompleteness and modal logics related to the GΓΆdel-LΓΆb logic GL. One of our goals is to prove that for all is incomplete and does not have the fixed point property. As a consequence we shall obtain that the Boolos logic KH does not have the