A Newton iteration for differentiable set-valued maps
✍ Scribed by Michaël Gaydu; Michel H. Geoffroy
- Book ID
- 119299569
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 274 KB
- Volume
- 399
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Any continuous map T on a compact metric space X induces in a natural way a continuous map T on the space K(X) of all non-empty compact subsets of X. Let T be a homeomorphism on the interval or on the circle. It is proved that the topological entropy of the induced set valued map T is zero or infini
We define a notion of Nash equilibrium for an arbitrary family of set-valued maps with values in pre-ordered sets. An existence theorem of such a Nash equilibrium is obtained from an intersection theorem for an arbitrary family of setvalued maps, generalizing results of Ky Fan, for example 1994 Acad