Geodesic
Strong Karush–Kuhn–Tucker optimality conditions for multiobjective semi-infinite programming via tangential subdifferential
RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 4-5, pp. 1019-1041

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The main aim of this paper is to study strong Karush–Kuhn–Tucker (KKT) optimality conditions for nonsmooth multiobjective semi-infinite programming (MSIP) problems. By using tangential subdifferential and suitable regularity conditions, we establish some strong necessary optimality conditions for some types of efficient solutions of nonsmooth MSIP problems. In addition to the theoretical results, some examples are provided to illustrate the advantages of our outcomes.

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DOI : 10.1051/ro/2018020
Classification : 90C32, 90C29, 49K99
Keywords: Multiobjective semi-infinite programming, efficient solution, weakly efficient solution, strong Karush–Kuhn–Tucker optimality conditions, tangential subdifferential

Tung, Le Thanh 1

1 
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     author = {Tung, Le Thanh},
     title = {Strong {Karush{\textendash}Kuhn{\textendash}Tucker} optimality conditions for multiobjective semi-infinite programming via tangential subdifferential},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {1019--1041},
     publisher = {EDP-Sciences},
     volume = {52},
     number = {4-5},
     year = {2018},
     doi = {10.1051/ro/2018020},
     mrnumber = {3878617},
     zbl = {1411.90334},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ro/2018020/}
}
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Tung, Le Thanh. Strong Karush–Kuhn–Tucker optimality conditions for multiobjective semi-infinite programming via tangential subdifferential. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 4-5, pp. 1019-1041. doi: 10.1051/ro/2018020

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