Abstract
We show that the slice convergence of the convex parents of saddle functions implies the epi/hypo-convergence of these saddle function and hence the convergence of their saddle points. We also obtain condition for the slice convergence of sums of convex functions. We then apply thes results to problems in convex programming optimal control and Chebyshe approximations.
| Original language | English |
|---|---|
| Pages (from-to) | 13-39 |
| Number of pages | 27 |
| Journal | Journal of Applied Analysis |
| Volume | 2 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jun 1996 |
Keywords
- Chebyshev approximations
- Conve programming
- Epi/hypo-convergence
- Optimal control
- Saddle points
- Slice topology
ASJC Scopus subject areas
- Mathematical Physics
- Statistics, Probability and Uncertainty
- Computational Theory and Mathematics
- Applied Mathematics