526. Inexactness in Variational Problems
Invited abstract in session TC-9: Variational Analysis II, stream Variational analysis: theory and algorithms.
Tuesday, 14:00-16:00Room: B100/8013
Authors (first author is the speaker)
| 1. | Lorenzo Lampariello
|
| Roma Tre University | |
| 2. | Giancarlo Bigi
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| Dipartimento di Informatica, Universita' di Pisa | |
| 3. | Simone Sagratella
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| Ingegneria informatica automatica e gestionale A. Ruberti, La Sapienza Università di Roma | |
| 4. | Valerio Giuseppe Sasso
|
| Dipartimento di ingegneria Informatica, Automatica e Gestionale, Sapienza Università di Roma |
Abstract
We investigate the relationships between solution sets of some variational problems, including, e.g., equilibrium problems, fixed point problems and variational inequalities. Given that inexactness naturally arises both in modeling real-world phenomena and in designing numerical solution methods, we consider inexact formulations of these problems. Our goal is to establish quantitative relations that describe how inexactness in one problem propagates to another.
Keywords
- Complementarity and variational problems
- Multi-level optimization
Status: accepted
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