On coderivatives and lipschitzian properties of the dual pair in optimization

In this paper we apply the concept of coderivative and other tools from the generalized di§erentiation theory for set-valued mappings to study the stability of the feasible sets of both, the primal and the dual problem in infinite-dimensional linear optimization with infinitely many explicit const...

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Autores principales:	López, Marco A., Ridolfi, Andrea B., Vera de Serio, Virginia N.
Publicado:	2011
Materias:	Coderivative Dual pair and duality theory Infinite programming Programación infinita Programación lineal Programación semi infinita Semi-infinite programming Stability Teoría de la dualidad
Acceso en línea:	https://bdigital.uncu.edu.ar/fichas.php?idobjeto=11807

date_str_mv	2011-06-29
object_type_str_mv	Artículo
descriptores_str_mv	Coderivative Dual pair and duality theory Infinite programming Programación infinita Programación lineal Programación semi infinita Semi-infinite programming Stability Teoría de la dualidad
todos_str_mv	CONICET-UNCUYO UdeAlicante UNCuyo FCAI UNCuyo FCE UNCuyo ICB
description_str_mv	In this paper we apply the concept of coderivative and other tools from the generalized di§erentiation theory for set-valued mappings to study the stability of the feasible sets of both, the primal and the dual problem in infinite-dimensional linear optimization with infinitely many explicit constraints and an additional conic constraint. After providing some specific duality results for our dual pair, we study the Lipschitz-like property of both mappings and also give bounds for the associated Lipschitz moduli. The situation for the dual shows much more involved than the case of the primal problem.
autor_str_mv	López, Marco A. Ridolfi, Andrea B. Vera de Serio, Virginia N.
disciplina_str_mv	Matemática
titulo_str_mv	On coderivatives and lipschitzian properties of the dual pair in optimization
id	11807
plantilla_str	Producción Científico Académica
record_format	Producción Científico Académica
tipo_str	textuales
type_str_mv	Articulos
title_full	On coderivatives and lipschitzian properties of the dual pair in optimization
title_fullStr	On coderivatives and lipschitzian properties of the dual pair in optimization On coderivatives and lipschitzian properties of the dual pair in optimization
title_full_unstemmed	On coderivatives and lipschitzian properties of the dual pair in optimization On coderivatives and lipschitzian properties of the dual pair in optimization
description	In this paper we apply the concept of coderivative and other tools from the generalized di§erentiation theory for set-valued mappings to study the stability of the feasible sets of both, the primal and the dual problem in infinite-dimensional linear optimization with infinitely many explicit constraints and an additional conic constraint. After providing some specific duality results for our dual pair, we study the Lipschitz-like property of both mappings and also give bounds for the associated Lipschitz moduli. The situation for the dual shows much more involved than the case of the primal problem.
title	On coderivatives and lipschitzian properties of the dual pair in optimization
spellingShingle	On coderivatives and lipschitzian properties of the dual pair in optimization Coderivative Dual pair and duality theory Infinite programming Programación infinita Programación lineal Programación semi infinita Semi-infinite programming Stability Teoría de la dualidad López, Marco A. Ridolfi, Andrea B. Vera de Serio, Virginia N.
topic	Coderivative Dual pair and duality theory Infinite programming Programación infinita Programación lineal Programación semi infinita Semi-infinite programming Stability Teoría de la dualidad
topic_facet	Coderivative Dual pair and duality theory Infinite programming Programación infinita Programación lineal Programación semi infinita Semi-infinite programming Stability Teoría de la dualidad
publishDate	2011
author	López, Marco A. Ridolfi, Andrea B. Vera de Serio, Virginia N.
author_facet	López, Marco A. Ridolfi, Andrea B. Vera de Serio, Virginia N.
title_sort	On coderivatives and lipschitzian properties of the dual pair in optimization
title_short	On coderivatives and lipschitzian properties of the dual pair in optimization
url	https://bdigital.uncu.edu.ar/fichas.php?idobjeto=11807
estado_str	3
building	Biblioteca Digital
filtrotop_str	Biblioteca Digital
collection	Producción Científico Académica
institution	Sistema Integrado de Documentación
indexed_str	2023-04-25 00:36
_version_	1764120179008077824

On coderivatives and lipschitzian properties of the dual pair in optimization

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