| Article ID: | iaor20124816 |
| Volume: | 154 |
| Issue: | 3 |
| Start Page Number: | 818 |
| End Page Number: | 829 |
| Publication Date: | Sep 2012 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Chen Jinhai |
| Keywords: | approximation, mapping |
In this paper, we use continuation technique to obtain estimates on the domain of invertibility for a diffeomorphism. We then apply these estimates to implicit function theorems. Our estimates are more feasible and sharper than those known in the literature.