Functional powers near a fixed point
β Scribed by Lawrence J Crone; Arthur C Neuendorffer
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 502 KB
- Volume
- 132
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
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.
The Four Functionals Fixed Point Theorem is a generalization of the original, as well as the functional generalizations, of the Leggett-Williams Fixed Point Theorem. In the Four Functionals Fixed Point Theorem, neither the upper nor the lower boundary of the underlying set is required to map below o