Optimality conditions for pareto nonsmooth nonconvex programming in banach spaces

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

doi:10.1023/A:1021769232224

Optimality conditions for pareto nonsmooth nonconvex programming in banach spaces

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

Universidade Federal de Ouro Preto
Universidade Estadual de Campinas
Universidade Estadual Paulista Júlio de Mesquita Filho

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

23 Scopus citations

Abstract

In this paper, we consider a vector optimization problem where all functions involved are defined on Banach spaces. We obtain necessary and sufficient criteria for optimality in the form of Karush-Kuhn-Tucker conditions. We also introduce a nonsmooth dual problem and provide duality theorems.

Original language	English
Pages (from-to)	65-73
Number of pages	9
Journal	Journal of Optimization Theory and Applications
Volume	103
Issue number	1
DOIs	https://doi.org/10.1023/A:1021769232224
State	Published - Oct 1999
Externally published	Yes

Keywords

Invexity
Nonsmooth duality
Optimality conditions
Vector optimization

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@article{a6780ed704e14bbdb54670ec7ea89470,

title = "Optimality conditions for pareto nonsmooth nonconvex programming in banach spaces",

abstract = "In this paper, we consider a vector optimization problem where all functions involved are defined on Banach spaces. We obtain necessary and sufficient criteria for optimality in the form of Karush-Kuhn-Tucker conditions. We also introduce a nonsmooth dual problem and provide duality theorems.",

keywords = "Invexity, Nonsmooth duality, Optimality conditions, Vector optimization",

author = "Brand{\~a}o, \{A. J.V.\} and Rojas-Medar, \{M. A.\} and Silva, \{G. N.\}",

year = "1999",

month = oct,

doi = "10.1023/A:1021769232224",

language = "English",

volume = "103",

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AU - Brandão, A. J.V.

AU - Rojas-Medar, M. A.

AU - Silva, G. N.

PY - 1999/10

Y1 - 1999/10

N2 - In this paper, we consider a vector optimization problem where all functions involved are defined on Banach spaces. We obtain necessary and sufficient criteria for optimality in the form of Karush-Kuhn-Tucker conditions. We also introduce a nonsmooth dual problem and provide duality theorems.

AB - In this paper, we consider a vector optimization problem where all functions involved are defined on Banach spaces. We obtain necessary and sufficient criteria for optimality in the form of Karush-Kuhn-Tucker conditions. We also introduce a nonsmooth dual problem and provide duality theorems.

KW - Invexity

KW - Nonsmooth duality

KW - Optimality conditions

KW - Vector optimization

UR - https://www.scopus.com/pages/publications/0033246201

U2 - 10.1023/A:1021769232224

DO - 10.1023/A:1021769232224

M3 - Article

AN - SCOPUS:0033246201

SN - 0022-3239

VL - 103

SP - 65

EP - 73

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

IS - 1

ER -

Optimality conditions for pareto nonsmooth nonconvex programming in banach spaces

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Keywords

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