A Two-Function Minimax Theorem
β Scribed by X.C. Quan
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 382 KB
- Volume
- 185
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A minimax theorem is proved that contains Dini's convergence theorem as well as the StoneαWeierstrass approximation theorem as special cases.
## IN HONOR OF KY FAN Ekeland's variational principle states that if a Gateaux differentiable Ε½ . function f has a finite lower bound although it need not attain it , then 5 X Ε½ .5 for every β ) 0, there exists some point x such that f x F β. This β β Ε½ . Ε½ .
The main results of this paper concern the minimax equality without algebraic structure of the underlying spaces. They include some classical minimax theorems as special cases and are independent of many other recent results of the same type. The proofs of our minimax theorems are based on some spec