Approximate proper efficiencies in nonsmooth semi-infinite multiobjective optimization problems
This article is devoted to studying a nonsmooth semi-infinite multiobjective optimization problem (SIMP) in terms of the Mordukhovich/limiting subdifferentials. We first establish necessary and sufficient conditions for an ε -quasi positively properly efficient solution of a problem (SIMP). We also...
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| Veröffentlicht in: | R.A.I.R.O. Recherche opérationnelle Jg. 58; H. 2; S. 1163 - 1186 |
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| 1. Verfasser: | |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
01.03.2024
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| ISSN: | 0399-0559, 2804-7303 |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | This article is devoted to studying a nonsmooth semi-infinite multiobjective optimization problem (SIMP) in terms of the Mordukhovich/limiting subdifferentials. We first establish necessary and sufficient conditions for an
ε
-quasi positively properly efficient solution of a problem (SIMP). We also investigate Mond–Weir type dual problems under assumptions of
ε
-quasi pseudo-generalized convexity. Next, we provide an application to a nonsmooth fractional semi-infinite multiobjective optimization problem. Finally, some examples are given to illustrate the obtained results. The obtained results improve or include some recent known ones. |
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| ISSN: | 0399-0559 2804-7303 |
| DOI: | 10.1051/ro/2024015 |