Weakly Convex Sets and Their Properties
โ Scribed by G. E. Ivanov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2006
- Tongue
- English
- Weight
- 288 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this short communication, we first introduce inner straight line G ~x' y) on the subset G in the Euclidean space R", and define the concept of the weakly quasi-convex fuzzy sets. Second, we will give a weak equivalent condition that a fuzzy closed set is a convex fuzzy set.
In this paper, we prove that every isometry from a nonempty weakly compact convex set K into itself fixes a point in the Chebyshev center of K, provided K satisfies the hereditary fixed point property for isometries. In particular, all isometries from a nonempty bounded closed convex subset of a uni