A Simple Proof of Monotonicity for Extended Mean Values
β Scribed by Feng Qi; Qiu-Ming Luo
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 75 KB
- Volume
- 224
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We give a simple, direct, and constructive proof of memoryless determinacy for parity and mean payo games. First, we prove by induction that the ΓΏnite duration versions of these games, played until some vertex is repeated, are determined and both players have memoryless winning strategies. In contra
A new concept of a pair of upper and lower solutions is introduced for a class of discrete boundary value problems without monotone nonlinearities. Some comparison results are established. An existence and enclosing theorem for the solutions is given in terms of upper and lower solutions. A new mono