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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Autor principal: Pham Thanh-Hung
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Lenguaje:EN
Publicado: University of Belgrade 2021
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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
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