| Issue |
RAIRO-Oper. Res.
Volume 58, Number 2, March-April 2024
|
|
|---|---|---|
| Page(s) | 1163 - 1186 | |
| DOI | https://doi.org/10.1051/ro/2024015 | |
| Published online | 13 March 2024 | |
Approximate proper efficiencies in nonsmooth semi-infinite multiobjective optimization problems
Faculty of Pedagogy and Faculty of Social Sciences & Humanities, Kien Giang University, Chau Thanh, Kien Giang, Vietnam
* Corresponding author: thanhhungpham.math@gmail.com; pthung@vnkgu.edu.vn
Received:
23
October
2022
Accepted:
17
January
2024
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.
Mathematics Subject Classification: 90C26 / 90C29 / 90C46 / 49K27 / 49J52
Key words: Semi-infinite multiobjective optimization / optimality condition and duality / ε-quasi pseudo-generalized convexity / ε-quasi positively properly efficient solution / Mordukhovich/limiting subdifferential
© The authors. Published by EDP Sciences, ROADEF, SMAI 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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