Number of the records: 1
Graphical Derivatives and Stability Analysis for Parameterized Equilibria with Conic Constraints
- 1.
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. 687-704Number 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