An inexact proximal method for quasiconvex minimization

E. A. Papa Quiroz; L. Mallma Ramirez; P. R. Oliveira

doi:10.1016/j.ejor.2015.05.041

An inexact proximal method for quasiconvex minimization

E. A. Papa Quiroz
, L. Mallma Ramirez
, P. R. Oliveira

Universidade Federal do Rio de Janeiro
Universidad Nacional Mayor de San Marcos
Universidad Nacional del Callao

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

33 Citas (Scopus)

Resumen

In this paper we propose an inexact proximal point method to solve constrained minimization problems with locally Lipschitz quasiconvex objective functions. Assuming that the function is also bounded from below, lower semicontinuous and using proximal distances, we show that the sequence generated for the method converges to a stationary point of the problem.

Idioma original	Inglés
Páginas (desde-hasta)	721-729
Número de páginas	9
Publicación	European Journal of Operational Research
Volumen	246
N.º	3
DOI	https://doi.org/10.1016/j.ejor.2015.05.041
Estado	Publicada - 1 nov. 2015
Publicado de forma externa	Sí

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abstract = "In this paper we propose an inexact proximal point method to solve constrained minimization problems with locally Lipschitz quasiconvex objective functions. Assuming that the function is also bounded from below, lower semicontinuous and using proximal distances, we show that the sequence generated for the method converges to a stationary point of the problem.",

keywords = "Computing science, Global optimization, Nonlinear programming, Proximal point methods, Quasiconvex minimization",

author = "\{Papa Quiroz\}, \{E. A.\} and \{Mallma Ramirez\}, L. and Oliveira, \{P. R.\}",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier B.V. and Association of European Operational Research Societies (EURO) within the International Federation of Operational Research Societies (IFORS). All rights reserved.",

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AU - Mallma Ramirez, L.

AU - Oliveira, P. R.

N1 - Publisher Copyright: © 2015 Elsevier B.V. and Association of European Operational Research Societies (EURO) within the International Federation of Operational Research Societies (IFORS). All rights reserved.

PY - 2015/11/1

Y1 - 2015/11/1

N2 - In this paper we propose an inexact proximal point method to solve constrained minimization problems with locally Lipschitz quasiconvex objective functions. Assuming that the function is also bounded from below, lower semicontinuous and using proximal distances, we show that the sequence generated for the method converges to a stationary point of the problem.

AB - In this paper we propose an inexact proximal point method to solve constrained minimization problems with locally Lipschitz quasiconvex objective functions. Assuming that the function is also bounded from below, lower semicontinuous and using proximal distances, we show that the sequence generated for the method converges to a stationary point of the problem.

KW - Computing science

KW - Global optimization

KW - Nonlinear programming

KW - Proximal point methods

KW - Quasiconvex minimization

UR - https://www.scopus.com/pages/publications/84932199291

U2 - 10.1016/j.ejor.2015.05.041

DO - 10.1016/j.ejor.2015.05.041

M3 - Article

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JO - European Journal of Operational Research

JF - European Journal of Operational Research

IS - 3

ER -

An inexact proximal method for quasiconvex minimization

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