Characterization of the Strong Metric Subregularity of the Mordukhovich Subdifferential on Asplund Spaces

J. J. Wang, Wen Song

Type: Article

Publication Date: 2014-01-01

Citations: 2

DOI: https://doi.org/10.1155/2014/596582

Abstract

We mainly present several equivalent characterizations of the strong metric subregularity of the Mordukhovich subdifferential for an extended-real-valued lower semicontinuous, prox-regular, and subdifferentially continuous function acting on an Asplund space.

Locations

Project Euclid (Cornell University) - View - PDF
DOAJ (DOAJ: Directory of Open Access Journals) - View
Abstract and Applied Analysis - View - PDF

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Works Cited by This (11)

Action	Title	Year	Authors
+ PDF Chat	Prox-regular functions in variational analysis	1996	R. A. Poliquin R. T. Rockafellar
+	Second-order growth, tilt stability, and metric regularity of the subdifferential	2013	Dmitriy Drusvyatskiy Boris S. Mordukhovich T. T. A. Nghia
+ PDF Chat	Characterization of metric regularity of subdifferentials	2008	Francisco J. Aragón Artacho Michel Geoffroy
+	On the variational principle	1974	Ivar Ekeland
+	Metric regularity and subdifferential calculus	2000	A. D. Ioffe
+ PDF Chat	Tilt Stability, Uniform Quadratic Growth, and Strong Metric Regularity of the Subdifferential	2013	Dmitriy Drusvyatskiy Adrian S. Lewis
+	Second-order variational analysis and characterizations of tilt-stable optimal solutions in infinite-dimensional spaces	2013	Boris S. Mordukhovich T. T. A. Nghia
+	Generalized Hessian Properties of Regularized Nonsmooth Functions	1996	R. A. Poliquin R. T. Rockafellar
+	Metric subregularity of the convex subdifferential in Banach spaces	2013	Francisco J. Aragón Artacho Michel Geoffroy
+	Second-Order Nonsmooth Analysis in Nonlinear Programming	1995	René A. Poliquin Terry Rockafellar