| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 7543777 | Operations Research Letters | 2018 | 9 Pages |
Abstract
The aim of this manuscript is to characterize the continuity properties of the multiobjective steepest descent direction (vector field) for smooth objective functions. We will show that this vector field is Hölder continuous with optimal exponent 1/2. In particular, this vector field fails to be Lipschitz continuous even for polynomial objectives.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Benar F. Svaiter,