Subgradient of distance functions with applications to Lipschitzian stability

The paper is devoted to studying generalized differential properties of distance functions that play a remarkable role in variational analysis, optimization, and their applications. The main object under consideration is the distance function of two variables in Banach spaces that signifies the dist...

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Bibliographic Details
Published in:	Mathematical programming Vol. 104; no. 2-3; pp. 635 - 668
Main Authors:	Mordukhovich, Boris S., Nam, Nguyen Mau
Format:	Journal Article
Language:	English
Published:	Heidelberg Springer 01.11.2005 Springer Nature B.V
Subjects:	Applied sciences Approximation Banach spaces Digital Object Identifier Exact sciences and technology Mapping Mathematical programming Operational research and scientific management Operational research. Management science Optimization Studies Variational analysis and optimization Subgradient optimization Fix point Subdifferential Parametric programming Lipschitzian stability Banach space Generalized differentiation Constrained optimization Mathematical programming Distance functions
ISSN:	0025-5610, 1436-4646
Online Access:	Get full text
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