Properly efficient solutions to non-differentiable multiobjective optimization problems

L. Batista dos Santos; M. A. Rojas-Medar; V. Vivanco-Orellana

doi:10.4067/S0716-09172018000300429

Properly efficient solutions to non-differentiable multiobjective optimization problems

L. Batista dos Santos
, M. A. Rojas-Medar
, V. Vivanco-Orellana

Department of Mathematics

Universidade Tecnológica Federal do Paraná
Universidad Católica de la Santísima Concepción

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

Abstract

In this work sufficient conditions are established to ensure that all feasible points are (properly) efficient solutions in non trivial situations, for a class of non-differentiable, non-convex multiobjective minimization problems. Considering locally Lipschitz functions and some results of non-differentiable analysis introduced by F. H. Clarke [2].

Original language	English
Pages (from-to)	429-438
Number of pages	10
Journal	Proyecciones
Volume	37
Issue number	3
DOIs	https://doi.org/10.4067/S0716-09172018000300429
State	Published - 2018

Keywords

Efficient solution
Multiobjective optimization
Properly efficient solution

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10.4067/S0716-09172018000300429

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title = "Properly efficient solutions to non-differentiable multiobjective optimization problems",

abstract = "In this work sufficient conditions are established to ensure that all feasible points are (properly) efficient solutions in non trivial situations, for a class of non-differentiable, non-convex multiobjective minimization problems. Considering locally Lipschitz functions and some results of non-differentiable analysis introduced by F. H. Clarke [2].",

keywords = "Efficient solution, Multiobjective optimization, Properly efficient solution",

author = "\{Batista dos Santos\}, L. and Rojas-Medar, \{M. A.\} and V. Vivanco-Orellana",

note = "Publisher Copyright: {\textcopyright} 2018 Universidad Catolica del Norte.",

year = "2018",

doi = "10.4067/S0716-09172018000300429",

language = "English",

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journal = "Proyecciones",

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AU - Batista dos Santos, L.

AU - Rojas-Medar, M. A.

AU - Vivanco-Orellana, V.

PY - 2018

Y1 - 2018

N2 - In this work sufficient conditions are established to ensure that all feasible points are (properly) efficient solutions in non trivial situations, for a class of non-differentiable, non-convex multiobjective minimization problems. Considering locally Lipschitz functions and some results of non-differentiable analysis introduced by F. H. Clarke [2].

AB - In this work sufficient conditions are established to ensure that all feasible points are (properly) efficient solutions in non trivial situations, for a class of non-differentiable, non-convex multiobjective minimization problems. Considering locally Lipschitz functions and some results of non-differentiable analysis introduced by F. H. Clarke [2].

KW - Efficient solution

KW - Multiobjective optimization

KW - Properly efficient solution

UR - https://www.scopus.com/pages/publications/85054512701

U2 - 10.4067/S0716-09172018000300429

DO - 10.4067/S0716-09172018000300429

M3 - Article

AN - SCOPUS:85054512701

SN - 0716-0917

VL - 37

SP - 429

EP - 438

JO - Proyecciones

JF - Proyecciones

IS - 3

ER -

Properly efficient solutions to non-differentiable multiobjective optimization problems

Abstract

Keywords

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