On the Quantitative Solution Stability of Parameterized Set-Valued Inclusions

• Published in: Set-valued and variational analysis Vol. 29; no. 2; pp. 425 - 451
• Main Author: Uderzo, A.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.06.2021; Springer Nature B.V
• Subjects: Analysis; Banach spaces; Inclusions; Mathematics; Mathematics and Statistics; Optimization; Parameterization; Robustness (mathematics); Stability; Optimal value function; Parametric optimization; Secondary: 49J52, 90C31, 90C48; Primary: 49J53; Set-valued inclusion; Solution mapping; Lipschitz semicontinuity; Calmness
• ISSN: 1877-0533; 1877-0541
• DOI: 10.1007/s11228-020-00571-z

The subject of the present paper are stability properties of the solution set to set-valued inclusions. The latter are problems emerging in robust optimization and mathematical economics, which can not be cast in traditional generalized equations. The analysis here reported focuses on several quanti...