Implicit multifunction theorems in complete metric spaces |
| |
| Authors: | van Ngai Huynh Huu Tron Nguyen Michel Théra |
| |
| Affiliation: | 1. Department of Mathematics, University of Quy Nhon, Quy Nhon, Vietnam
2. Laboratoire XLIM, UMR-CNRS 7252, Université de Limoges, Limoges, France
|
| |
| Abstract: | In this paper, we establish some new characterizations of metric regularity of implicit multifunctions in complete metric spaces by using lower semicontinuous envelopes of the distance functions to set-valued mappings. Through these new characterizations it is possible to investigate implicit multifunction theorems based on coderivatives and on contingent derivatives as well as the perturbation stability of implicit multifunctions. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
