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717. On the strong Slater condition of linear systems with an evenly convex constraint set
Invited abstract in session WA-42: Infinite Optimization: stability and duality, stream Variational Analysis and Continuous Optimization.
Wednesday, 8:30-10:00Room: 98 (building: 306)
Authors (first author is the speaker)
| 1. | Margarita Rodríguez Álvarez
|
| Dpto. Matemáticas, Universidad de Alicante | |
| 2. | José Vicente-Pérez
|
| University of Alicante |
Abstract
The strong Slater condition plays a significant role in the stability analysis of linear semi-infinite inequality systems. In this work, we deal with the stability of the intersection of a given evenly convex set with the solution set of a linear system whose coefficients can be arbitrarily perturbed. More specifically, we analyze the set of strong Slater points associated to a given linear inequality system with an evenly convex constraint set X. Such sets become the solution sets of linear systems containing weak inequalities, strict inequalities and strong Slater type inequalities. For this type of systems we characterize the existence of solutions by means of dual conditions in terms of the system data, extending some results given by other authors in the field of stability of semi-infinite linear systems with solutions in a certain closed convex set.
Keywords
- Continuous Optimization
Status: accepted
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