Paper Info
Title
The multiobjective steepest descent direction is not Lipschitz continuous, but is Hölder continuous.
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.
Year
DOI
Venue
2018
10.1016/j.orl.2018.05.008
Operations Research Letters
Keywords
DocType
Volume
Multiobjective optimization,Pareto optimality,Steepest descent direction,Lipschitz continuity,Hölder continuity
Journal
46
Issue
ISSN
Citations 
4
0167-6377
2
PageRank 
References 
Authors
0.36
7
1
Name
Order
Citations
PageRank
B. F. Svaiter160872.74