Invex nonsmooth alternative theorem and applications

A. J.V. Brandao; M. A. Rojas-Medar; G. N. Silva

Invex nonsmooth alternative theorem and applications

A. J.V. Brandao
, M. A. Rojas-Medar
, G. N. Silva

Universidade Estadual de Campinas
Universidade Estadual Paulista Júlio de Mesquita Filho

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

10 Citas (Scopus)

Resumen

An invex constrained nonsmooth optimization problem is considered, in which the presence of an abstract constraint set is possibly allowed. Necessary and sufficient conditions of optimality are provided and weak and strong duality results established. Following Geoffrion's approach an invex nonsmooth alternative theorem of Gordan type is then derived. Subsequently, some applications on multiobjective programming are then pursued.

Idioma original	Inglés
Páginas (desde-hasta)	239-253
Número de páginas	15
Publicación	Optimization
Volumen	48
N.º	2
Estado	Publicada - 2000
Publicado de forma externa	Sí

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title = "Invex nonsmooth alternative theorem and applications",

abstract = "An invex constrained nonsmooth optimization problem is considered, in which the presence of an abstract constraint set is possibly allowed. Necessary and sufficient conditions of optimality are provided and weak and strong duality results established. Following Geoffrion's approach an invex nonsmooth alternative theorem of Gordan type is then derived. Subsequently, some applications on multiobjective programming are then pursued.",

keywords = "Alternative theorem, Invexity, Multiobjective programming, Nonsmooth analysis",

author = "Brandao, \{A. J.V.\} and Rojas-Medar, \{M. A.\} and Silva, \{G. N.\}",

year = "2000",

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journal = "Optimization",

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T1 - Invex nonsmooth alternative theorem and applications

AU - Brandao, A. J.V.

AU - Rojas-Medar, M. A.

AU - Silva, G. N.

PY - 2000

Y1 - 2000

N2 - An invex constrained nonsmooth optimization problem is considered, in which the presence of an abstract constraint set is possibly allowed. Necessary and sufficient conditions of optimality are provided and weak and strong duality results established. Following Geoffrion's approach an invex nonsmooth alternative theorem of Gordan type is then derived. Subsequently, some applications on multiobjective programming are then pursued.

AB - An invex constrained nonsmooth optimization problem is considered, in which the presence of an abstract constraint set is possibly allowed. Necessary and sufficient conditions of optimality are provided and weak and strong duality results established. Following Geoffrion's approach an invex nonsmooth alternative theorem of Gordan type is then derived. Subsequently, some applications on multiobjective programming are then pursued.

KW - Alternative theorem

KW - Invexity

KW - Multiobjective programming

KW - Nonsmooth analysis

UR - https://www.scopus.com/pages/publications/0043059272

M3 - Article

AN - SCOPUS:0043059272

SN - 0233-1934

VL - 48

SP - 239

EP - 253

JO - Optimization

JF - Optimization

IS - 2

ER -

Invex nonsmooth alternative theorem and applications

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