A proof of the surjectivity of coercive and upper semicontinuous mappings in finite-dimensional spaces. (Chinese) Zbl 0904.47051
By using the method of single-valued approximation to multivalued mappings and the homotopy invariance of topological degree, a proof of the surjectivity of a coercive and upper semicontinuous mapping in finite-dimensional spaces is given. This theorem can be used to study the uniformization problem of multivalued mappings.
Reviewer: Zhang Shisheng (Chengdu)
MSC:
| 47J05 | Equations involving nonlinear operators (general) |
| 47H04 | Set-valued operators |
| 47H11 | Degree theory for nonlinear operators |
