Abstract
This paper studies the Lipschitz / Holder type global error bound for a linear semi-infinite system over a polyhedral constraint. It is shown that the linear semi-infinite system admits a Lipschitz type global error bound, which extends many existing results assuming a Slater condition on the recession function or the boundedness of the feasible solution set. The Lipschitz type global error bound is also established under the data in the linear semi-infinite system varying in a bounded polyhedral set. Moreover, we discuss the relationship among the Holder type global error bound and several notions of Holder-type metric regularity for the linear semi-infinite system under a certain asymptotic condition or a assumption 011 boundedness of the feasible solution set.
| Original language | English |
|---|---|
| Pages (from-to) | 495-514 |
| Number of pages | 20 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 26 |
| Issue number | 3 |
| State | Published - 2025 |
Bibliographical note
Publisher Copyright:© 2025 Yokohama Publications. All rights reserved.
Keywords
- Semi-infinite system
- global error bound
- metric regularity
- recession cone
- recession function
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Control and Optimization
- Applied Mathematics