Continuous selections of multifunctions with weakly convex values |
| |
| Authors: | Grigorii E Ivanov |
| |
| Institution: | Department of Higher Mathematics, Moscow Institute of Physics and Technology, Institutski str. 9, Dolgoprudny, Moscow region, Russia 141700 |
| |
| Abstract: | We obtain some selection theorems for multifunctions with weakly convex values. For this purpose, some new properties of weakly convex sets in a Hilbert space are investigated. We also present some examples showing the importance of various assumptions in these selection theorems. |
| |
| Keywords: | 54C60 54C65 52A01 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
