|
Virtually stable maps and their convergence sets |
|---|---|
| รหัสดีโอไอ | |
| Title | Virtually stable maps and their convergence sets |
| Creator | Watchareepan Atiponrat |
| Contributor | Phichet Chaoha |
| Publisher | Chulalongkorn University |
| Publication Year | 2551 |
| Keyword | Fixed point theory, Nonexpansive mappings, Set functions, Set theory, ทฤษฎีจุดตรึง, การส่งแบบไม่ขยาย, เซต, ทฤษฎีเซต |
| Abstract | We generalize the concept of a virtually nonexpansive selfmap of a metric space by introducing the notion of a virtually stable selfmap of a Hausdorff space. We also prove that every virtually nonexpansive selfmap is virtually stable, and the fixed point set of a virtually stable selfmap is a retract of the convergence set. Some properties of the convergence set and the fixed point set of a virtually stable map are also investigated. |
| URL Website | cuir.car.chula.ac.th |