Optimality conditions and duality for multiobjective semi-infinite programming with data uncertainty via Mordukhovich subdifferential

Based on the notation of Mordukhovich subdifferential in [27], we propose some of new concepts of convexity to establish optimality conditions for quasi ε−solutions for nonlinear semi-infinite optimization problems with data uncertainty in constraints. Moreover, some examples are given to illustrate...

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Auteur principal:	Pham Thanh-Hung
Format:	article
Langue:	EN
Publié:	University of Belgrade 2021
Sujets:	robust optimality condition semi-infinite programming constraint qualification generalized convexity mordukhovich subdifferential Management information systems T58.6-58.62
Accès en ligne:	https://doaj.org/article/0ce27d4397bd4edba88e9699b87f15a1
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id	oai:doaj.org-article:0ce27d4397bd4edba88e9699b87f15a1
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spelling	oai:doaj.org-article:0ce27d4397bd4edba88e9699b87f15a12021-12-01T13:00:33ZOptimality conditions and duality for multiobjective semi-infinite programming with data uncertainty via Mordukhovich subdifferential0354-02431820-743X10.2298/YJOR201017013Phttps://doaj.org/article/0ce27d4397bd4edba88e9699b87f15a12021-01-01T00:00:00Zhttp://www.doiserbia.nb.rs/img/doi/0354-0243/2021/0354-02432100013P.pdfhttps://doaj.org/toc/0354-0243https://doaj.org/toc/1820-743XBased on the notation of Mordukhovich subdifferential in [27], we propose some of new concepts of convexity to establish optimality conditions for quasi ε−solutions for nonlinear semi-infinite optimization problems with data uncertainty in constraints. Moreover, some examples are given to illustrate the obtained results. <br><br><font color="red"><b> This article has been corrected. Link to the correction <u><a href="http://dx.doi.org/10.2298/YJOR211117025E">10.2298/YJOR211117025E</a><u></b></font>Pham Thanh-HungUniversity of Belgradearticlerobust optimality conditionsemi-infinite programmingconstraint qualificationgeneralized convexitymordukhovich subdifferentialManagement information systemsT58.6-58.62ENYugoslav Journal of Operations Research, Vol 31, Iss 4, Pp 495-514 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	robust optimality condition semi-infinite programming constraint qualification generalized convexity mordukhovich subdifferential Management information systems T58.6-58.62
spellingShingle	robust optimality condition semi-infinite programming constraint qualification generalized convexity mordukhovich subdifferential Management information systems T58.6-58.62 Pham Thanh-Hung Optimality conditions and duality for multiobjective semi-infinite programming with data uncertainty via Mordukhovich subdifferential
description	Based on the notation of Mordukhovich subdifferential in [27], we propose some of new concepts of convexity to establish optimality conditions for quasi ε−solutions for nonlinear semi-infinite optimization problems with data uncertainty in constraints. Moreover, some examples are given to illustrate the obtained results. <br><br><font color="red"><b> This article has been corrected. Link to the correction <u><a href="http://dx.doi.org/10.2298/YJOR211117025E">10.2298/YJOR211117025E</a><u></b></font>
format	article
author	Pham Thanh-Hung
author_facet	Pham Thanh-Hung
author_sort	Pham Thanh-Hung
title	Optimality conditions and duality for multiobjective semi-infinite programming with data uncertainty via Mordukhovich subdifferential
title_short	Optimality conditions and duality for multiobjective semi-infinite programming with data uncertainty via Mordukhovich subdifferential
title_full	Optimality conditions and duality for multiobjective semi-infinite programming with data uncertainty via Mordukhovich subdifferential
title_fullStr	Optimality conditions and duality for multiobjective semi-infinite programming with data uncertainty via Mordukhovich subdifferential
title_full_unstemmed	Optimality conditions and duality for multiobjective semi-infinite programming with data uncertainty via Mordukhovich subdifferential
title_sort	optimality conditions and duality for multiobjective semi-infinite programming with data uncertainty via mordukhovich subdifferential
publisher	University of Belgrade
publishDate	2021
url	https://doaj.org/article/0ce27d4397bd4edba88e9699b87f15a1
work_keys_str_mv	AT phamthanhhung optimalityconditionsanddualityformultiobjectivesemiinfiniteprogrammingwithdatauncertaintyviamordukhovichsubdifferential
_version_	1718405157199282176

Optimality conditions and duality for multiobjective semi-infinite programming with data uncertainty via Mordukhovich subdifferential

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