536. On an alternative to convexity of the values in set-valued analysis: from theory to applications
Invited abstract in session MD-9: Generalized convexity and monotonicity 3, stream Generalized convexity and monotonicity.
Monday, 16:30-18:30Room: B100/8013
Authors (first author is the speaker)
| 1. | Annagiulia Pezzola
|
| Economics and Management, University of Brescia | |
| 2. | Didier Aussel
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| Lab.PROMES UPR 8521, University of Perpignan | |
| 3. | Rossana Riccardi
|
| Economics and Management, University of Brescia | |
| 4. | Domenico Scopelliti
|
| University of Calabria |
Abstract
Set-valued maps play a crucial role in variational analysis, optimization and fixed point theory. In particular, the convexity of the values of a set-valued map is a key assumption in establishing fundamental results in these fields: indeed, moving toward the applications, it is a requirement that has to be satisfied although sometime it could be too demanding. This motivates the introduction of an alternative framework that can handle non-convex values while preserving the mathematical robustness. The aim of this talk is to describe this alternative approach with the related applications.
Keywords
- Multi-level optimization
- Applications of continuous optimization
Status: accepted
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