Karush-Kuhn-Tucker optimality conditions and duality for multiobjective semi-infinite programming with equilibrium constraints

The purpose of this paper is to study multiobjective semi-infinite programming with equilibrium constraints. Firstly, the necessary and sufficient Karush-Kuhn-Tucker optimality conditions for multiobjective semi-infinite programming with equilibrium constraints are established. Then, we formulate ty...

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Autor principal:	Le Thanh Tung
Formato:	article
Lenguaje:	EN
Publicado:	University of Belgrade 2021
Materias:	multiobjective semi-infinite programming equilibrium constraints constraint qualifications karush-kuhn-tucker optimality conditions mond-weir duality wolfe duality Management information systems T58.6-58.62
Acceso en línea:	https://doaj.org/article/8d16ca9e2bd4469fb063abae198d32af
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spelling	oai:doaj.org-article:8d16ca9e2bd4469fb063abae198d32af2021-12-01T13:00:33ZKarush-Kuhn-Tucker optimality conditions and duality for multiobjective semi-infinite programming with equilibrium constraints0354-02431820-743X10.2298/YJOR200117024Lhttps://doaj.org/article/8d16ca9e2bd4469fb063abae198d32af2021-01-01T00:00:00Zhttp://www.doiserbia.nb.rs/img/doi/0354-0243/2021/0354-02432000024L.pdfhttps://doaj.org/toc/0354-0243https://doaj.org/toc/1820-743XThe purpose of this paper is to study multiobjective semi-infinite programming with equilibrium constraints. Firstly, the necessary and sufficient Karush-Kuhn-Tucker optimality conditions for multiobjective semi-infinite programming with equilibrium constraints are established. Then, we formulate types of Wolfe and Mond-Weir dual problems and investigate duality relations under convexity assumptions. Some examples are given to verify our results.Le Thanh TungUniversity of Belgradearticlemultiobjective semi-infinite programmingequilibrium constraintsconstraint qualificationskarush-kuhn-tucker optimality conditionsmond-weir dualitywolfe dualityManagement information systemsT58.6-58.62ENYugoslav Journal of Operations Research, Vol 31, Iss 4, Pp 429-453 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	multiobjective semi-infinite programming equilibrium constraints constraint qualifications karush-kuhn-tucker optimality conditions mond-weir duality wolfe duality Management information systems T58.6-58.62
spellingShingle	multiobjective semi-infinite programming equilibrium constraints constraint qualifications karush-kuhn-tucker optimality conditions mond-weir duality wolfe duality Management information systems T58.6-58.62 Le Thanh Tung Karush-Kuhn-Tucker optimality conditions and duality for multiobjective semi-infinite programming with equilibrium constraints
description	The purpose of this paper is to study multiobjective semi-infinite programming with equilibrium constraints. Firstly, the necessary and sufficient Karush-Kuhn-Tucker optimality conditions for multiobjective semi-infinite programming with equilibrium constraints are established. Then, we formulate types of Wolfe and Mond-Weir dual problems and investigate duality relations under convexity assumptions. Some examples are given to verify our results.
format	article
author	Le Thanh Tung
author_facet	Le Thanh Tung
author_sort	Le Thanh Tung
title	Karush-Kuhn-Tucker optimality conditions and duality for multiobjective semi-infinite programming with equilibrium constraints
title_short	Karush-Kuhn-Tucker optimality conditions and duality for multiobjective semi-infinite programming with equilibrium constraints
title_full	Karush-Kuhn-Tucker optimality conditions and duality for multiobjective semi-infinite programming with equilibrium constraints
title_fullStr	Karush-Kuhn-Tucker optimality conditions and duality for multiobjective semi-infinite programming with equilibrium constraints
title_full_unstemmed	Karush-Kuhn-Tucker optimality conditions and duality for multiobjective semi-infinite programming with equilibrium constraints
title_sort	karush-kuhn-tucker optimality conditions and duality for multiobjective semi-infinite programming with equilibrium constraints
publisher	University of Belgrade
publishDate	2021
url	https://doaj.org/article/8d16ca9e2bd4469fb063abae198d32af
work_keys_str_mv	AT lethanhtung karushkuhntuckeroptimalityconditionsanddualityformultiobjectivesemiinfiniteprogrammingwithequilibriumconstraints
_version_	1718405186246934528

Karush-Kuhn-Tucker optimality conditions and duality for multiobjective semi-infinite programming with equilibrium constraints

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