Existence of weakly efficient solutions in vector optimization

Lucelina Batista Santos; Marko Rojas-Medar; Gabriel Ruiz-Garzón

doi:10.1007/s10114-007-5649-3

Existence of weakly efficient solutions in vector optimization

Lucelina Batista Santos
, Marko Rojas-Medar
, Gabriel Ruiz-Garzón

Universidade Federal do Paraná
Universidad del Bío-Bío
University of Cádiz

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

5 Scopus citations

Abstract

In this paper, we present an existence result for weak efficient solution for the vector optimization problem. The result is stated for invex strongly compactly Lipschitz functions.

Original language	English
Pages (from-to)	599-606
Number of pages	8
Journal	Acta Mathematica Sinica, English Series
Volume	24
Issue number	4
DOIs	https://doi.org/10.1007/s10114-007-5649-3
State	Published - Apr 2008
Externally published	Yes

Keywords

Clarke generalized gradient
Generalized convexity
Vector optimization
Weak efficiency

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10.1007/s10114-007-5649-3

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title = "Existence of weakly efficient solutions in vector optimization",

abstract = "In this paper, we present an existence result for weak efficient solution for the vector optimization problem. The result is stated for invex strongly compactly Lipschitz functions.",

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AU - Rojas-Medar, Marko

AU - Ruiz-Garzón, Gabriel

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N2 - In this paper, we present an existence result for weak efficient solution for the vector optimization problem. The result is stated for invex strongly compactly Lipschitz functions.

AB - In this paper, we present an existence result for weak efficient solution for the vector optimization problem. The result is stated for invex strongly compactly Lipschitz functions.

KW - Clarke generalized gradient

KW - Generalized convexity

KW - Vector optimization

KW - Weak efficiency

UR - https://www.scopus.com/pages/publications/42349117498

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JO - Acta Mathematica Sinica, English Series

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IS - 4

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Existence of weakly efficient solutions in vector optimization

Abstract

Keywords

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