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

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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.

Original language	English
Pages (from-to)	239-253
Number of pages	15
Journal	Optimization
Volume	48
Issue number	2
State	Published - 2000
Externally published	Yes

Keywords

Alternative theorem
Invexity
Multiobjective programming
Nonsmooth analysis

Cite this

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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.",

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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

Abstract

Keywords

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