Proper efficiency in vector infinite programming problems

Valeriano Antunes De Oliveira; Marko Antonio Rojas-Medar

doi:10.1007/s11590-008-0111-8

Proper efficiency in vector infinite programming problems

Valeriano Antunes De Oliveira
, Marko Antonio Rojas-Medar

Universidade Federal de Uberlândia
Universidad del Bío-Bío

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

5 Scopus citations

Abstract

Using the notion of invexity, we give sufficient conditions of optimality for properly efficient solutions of a vector infinite programming problem and show that the set of properly efficient solutions coincides with the set of optimal solutions of a related scalar problem.

Original language	English
Pages (from-to)	319-328
Number of pages	10
Journal	Optimization Letters
Volume	3
Issue number	3
DOIs	https://doi.org/10.1007/s11590-008-0111-8
State	Published - Jul 2009
Externally published	Yes

Keywords

Infinite programming problems
Invexity
Multi-objective problems
Properly efficient solutions

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10.1007/s11590-008-0111-8

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title = "Proper efficiency in vector infinite programming problems",

abstract = "Using the notion of invexity, we give sufficient conditions of optimality for properly efficient solutions of a vector infinite programming problem and show that the set of properly efficient solutions coincides with the set of optimal solutions of a related scalar problem.",

keywords = "Infinite programming problems, Invexity, Multi-objective problems, Properly efficient solutions",

author = "\{De Oliveira\}, \{Valeriano Antunes\} and Rojas-Medar, \{Marko Antonio\}",

year = "2009",

month = jul,

doi = "10.1007/s11590-008-0111-8",

language = "English",

volume = "3",

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journal = "Optimization Letters",

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AU - Rojas-Medar, Marko Antonio

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N2 - Using the notion of invexity, we give sufficient conditions of optimality for properly efficient solutions of a vector infinite programming problem and show that the set of properly efficient solutions coincides with the set of optimal solutions of a related scalar problem.

AB - Using the notion of invexity, we give sufficient conditions of optimality for properly efficient solutions of a vector infinite programming problem and show that the set of properly efficient solutions coincides with the set of optimal solutions of a related scalar problem.

KW - Infinite programming problems

KW - Invexity

KW - Multi-objective problems

KW - Properly efficient solutions

UR - https://www.scopus.com/pages/publications/67650492562

U2 - 10.1007/s11590-008-0111-8

DO - 10.1007/s11590-008-0111-8

M3 - Article

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VL - 3

SP - 319

EP - 328

JO - Optimization Letters

JF - Optimization Letters

IS - 3

ER -

Proper efficiency in vector infinite programming problems

Abstract

Keywords

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