Some properties, connected with recent generalizations of the classic notion of Lipschitz continuity for multifunctions, are investigated with reference to variational systems, that is to solution maps associated to parametrized generalized equations. The latter ones are a convenient framework to address several questions, mainly related to the stability and sensitivity analysis, arising in mathematical programming, optimal control, equilibrium and variational inequality theory. Global and local criteria for metric regularity and Lipschitz-likeness of variational systems are obtained. Some applications to the exact penalization of mathematical programs with equilibrium constraints and to the Lipschitzian stability of fixed points for multivalued contractions are then considered.

Uderzo, A. (2009). On Some Regularity Properties in Variational Analysis. SET-VALUED AND VARIATIONAL ANALYSIS, 17(4), 409-430 [10.1007/s11228-009-0121-4].

On Some Regularity Properties in Variational Analysis

UDERZO, AMOS
2009

Abstract

Some properties, connected with recent generalizations of the classic notion of Lipschitz continuity for multifunctions, are investigated with reference to variational systems, that is to solution maps associated to parametrized generalized equations. The latter ones are a convenient framework to address several questions, mainly related to the stability and sensitivity analysis, arising in mathematical programming, optimal control, equilibrium and variational inequality theory. Global and local criteria for metric regularity and Lipschitz-likeness of variational systems are obtained. Some applications to the exact penalization of mathematical programs with equilibrium constraints and to the Lipschitzian stability of fixed points for multivalued contractions are then considered.
Articolo in rivista - Articolo scientifico
Generalized equations; Open covering; Metric regularity; Lipschitz-likeness; Variational principle
English
Uderzo, A. (2009). On Some Regularity Properties in Variational Analysis. SET-VALUED AND VARIATIONAL ANALYSIS, 17(4), 409-430 [10.1007/s11228-009-0121-4].
Uderzo, A
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/7254
Citazioni
  • Scopus 15
  • ???jsp.display-item.citation.isi??? 14
Social impact