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Graphical Derivatives and Stability Analysis for Parameterized Equilibria with Conic Constraints

SYSNO ASEP	0449259
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Graphical Derivatives and Stability Analysis for Parameterized Equilibria with Conic Constraints
Author(s)	Mordukhovich, B. S. (US) Outrata, Jiří (UTIA-B)_{RID, ORCID} Ramírez, H. C. (CL)
Number of authors	3
Source Title	Set-Valued and Variational Analysis. - : Springer - ISSN 1877-0533 Roč. 23, č. 4 (2015), s. 687-704
Number of pages	18 s.
Publication form	Print - P
Language	eng - English
Country	NL - Netherlands
Keywords	Variational analysis and optimization ; Parameterized equilibria ; Conic constraints ; Sensitivity and stability analysis ; Solution maps ; Graphical derivatives ; Normal and tangent cones
Subject RIV	BA - General Mathematics
R&D Projects	GAP201/12/0671 GA ČR - Czech Science Foundation (CSF)
Institutional support	UTIA-B - RVO:67985556
UT WOS	000365768100008
EID SCOPUS	84958546349
DOI	10.1007/s11228-015-0328-5
Annotation	The paper concerns parameterized equilibria governed by generalized equations whose multivalued parts are modeled via regular normals to nonconvex conic constraints. Our main goal is to derive a precise pointwise second-order formula for calculating the graphical derivative of the solution maps to such generalized equations that involves Lagrange multipliers of the corresponding KKT systems and critical cone directions. Then we apply the obtained formula to characterizing a Lipschitzian stability notion for the solution maps that is known as isolated calmness.
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Year of Publishing	2016

Number of the records: 1