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362. Scalarizations obtained through a property of separation of cones
Invited abstract in session TB-42: Variational Methods in Vector Optimization, stream Variational Analysis and Continuous Optimization.
Tuesday, 10:30-12:00Room: 98 (building: 306)
Authors (first author is the speaker)
| 1. | Fernando García Castaño
|
| Mathematics, University of Alicante | |
| 2. | Miguel Angel Melguizo Padial
|
| Mathematics, University of Alicante | |
| 3. | Giovanni Parzanese
|
| Universidad de Alicante |
Abstract
In this presentation, we will demonstrate that, given a separation property of cones, a $\mathcal{Q}$-minimal point in a normed space is the minimum of a specific sublinear function. This observation provides sufficient conditions, via scalarization, for several types of proper efficient points. Furthermore, we will explore necessary and sufficient conditions for approximate Benson and Henig proper efficient points expressed in terms of scalarization. The separation property we consider is a variant of a previously introduced property that had been applied in the setting of reflexive Banach spaces.
Keywords
- Continuous Optimization
- Convex Optimization
Status: accepted
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