In this paper, a systematic study of the strong metric subregularity property of mappings is carried out by means of a variational tool, called steepest displacement rate. With the aid of this tool, a simple characterization of strong metric subregularity for multifunctions acting in metric spaces is formulated. The resulting criterion is shown to be useful for establishing stability properties of the strong metric subregularity in the presence of perturbations, as well as for deriving various conditions, enabling one to detect such a property in the case of nonsmooth mappings. Some of these conditions, involving several nonsmooth analysis constructions, are then applied in studying the isolated calmness property of the solution mapping to parameterized generalized equations.

Uderzo, A. (2016). A Strong Metric Subregularity Analysis of Nonsmooth Mappings Via Steepest Displacement Rate. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 171(2), 573-599 [10.1007/s10957-016-0952-8].

A Strong Metric Subregularity Analysis of Nonsmooth Mappings Via Steepest Displacement Rate

UDERZO, AMOS
2016

Abstract

In this paper, a systematic study of the strong metric subregularity property of mappings is carried out by means of a variational tool, called steepest displacement rate. With the aid of this tool, a simple characterization of strong metric subregularity for multifunctions acting in metric spaces is formulated. The resulting criterion is shown to be useful for establishing stability properties of the strong metric subregularity in the presence of perturbations, as well as for deriving various conditions, enabling one to detect such a property in the case of nonsmooth mappings. Some of these conditions, involving several nonsmooth analysis constructions, are then applied in studying the isolated calmness property of the solution mapping to parameterized generalized equations.
Articolo in rivista - Articolo scientifico
First-order ϵ-approximation; Generalized equation; Injectivity constant; Isolated calmness; Outer prederivative; Sharp minimality; Steepest descent rate; Strong metric subregularity;
First-order ϵ-approximation; Generalized equation; Injectivity constant; Isolated calmness; Outer prederivative; Sharp minimality; Steepest descent rate; Strong metric subregularity; Control and Optimization; Management Science and Operations Research; Applied Mathematics
English
2016
171
2
573
599
reserved
Uderzo, A. (2016). A Strong Metric Subregularity Analysis of Nonsmooth Mappings Via Steepest Displacement Rate. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 171(2), 573-599 [10.1007/s10957-016-0952-8].
File in questo prodotto:
File Dimensione Formato  
Uderzo1(2016).pdf

Solo gestori archivio

Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Dimensione 526.71 kB
Formato Adobe PDF
526.71 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

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: https://hdl.handle.net/10281/153900
Citazioni
  • Scopus 9
  • ???jsp.display-item.citation.isi??? 8
Social impact