Dataciencia

Colección SciELO Chile

Graphical Derivatives and Stability Analysis for Parameterized Equilibria with Conic Constraints

Indexado

WoS	WOS:000365768100008
Scopus	SCOPUS_ID:84958546349

DOI

10.1007/S11228-015-0328-5

Año

2015

Tipo

artículo de investigación

Citas Totales

Autores Afiliación Chile

Instituciones Chile

% Participación
Internacional

Autores
Afiliación Extranjera

Instituciones
Extranjeras

Abstract

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.

Revista

Revista	ISSN
Set Valued And Variational Analysis	1877-0533

Métricas Externas

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Disciplinas de Investigación

WOS
Mathematics, Applied

Scopus
Sin Disciplinas

SciELO
Sin Disciplinas

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Publicaciones WoS (Ediciones: ISSHP, ISTP, AHCI, SSCI, SCI), Scopus, SciELO Chile.

Colaboración Institucional

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Autores - Afiliación

Ord.	Autor	Género	Institución - País
1	Mordukhovich, Boris S.	Hombre	Wayne State Univ - Estados Unidos Wayne State University - Estados Unidos
2	Outrata, Jiri V.	-	Acad Sci Czech Republ - República Checa Federat Univ Australia - Australia Institute of Information Theory and Automation of the Academy of Sciences of the Czech Republic - República Checa Federation University Australia - Australia
2	Outrata, Jiri V.	-	Institute of Information Theory and Automation of the Academy of Sciences of the Czech Republic - República Checa Federation University Australia - Australia
3	RAMIREZ-ESTAY, HECTOR	Hombre	Universidad de Chile - Chile
3	Hector Ramirez, C.	-	Universidad de Chile - Chile

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Financiamiento

Fuente
FONDECYT
National Science Foundation
Australian Research Council
Grant Agency of the Czech Republic
BASAL Project Centro de Modelamiento Matematico, Universidad de Chile
Directorate for Mathematical and Physical Sciences
Direct For Mathematical & Physical Scien; Division Of Mathematical Sciences

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Agradecimientos

Agradecimiento
Research of B. S. Mordukhovich was partly supported by the National Science Foundation under grant DMS-1007132. Research of J. V. Outrata was partly supported by grant P201/12/0671 of the Grant Agency of the Czech Republic and the Australian Research Council under grant DP-110102011. Research of H. Ramirez C. was partly supported by FONDECYT Project 1110888 and BASAL Project Centro de Modelamiento Matematico, Universidad de Chile.

Agradecimiento

Research of B. S. Mordukhovich was partly supported by the National Science Foundation under grant DMS-1007132. Research of J. V. Outrata was partly supported by grant P201/12/0671 of the Grant Agency of the Czech Republic and the Australian Research Council under grant DP-110102011. Research of H. Ramirez C. was partly supported by FONDECYT Project 1110888 and BASAL Project Centro de Modelamiento Matematico, Universidad de Chile.