Some minimax theorems on finding nontrivial critical points and their applications
β Scribed by Shu-Jie Li
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 499 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
## Abstract Let __E__ be a Banach space and Ξ¦ : __E__ β β a π^1^βfunctional. Let π« be a family of semiβnorms on __E__ which separates points and generates a (possibly nonβmetrizable) topology π―~π«~ on __E__ weaker than the norm topology. This is a special case of a gage space, that is, a topological
New fixed-point theorems for two maps defined on product spaces are obtained. These new results only require one of them to satisfy a noncompactness condition. Previous results required each map to satisfy a noncompactness condition. Applications of our results are given to intersection problems for