Quasi Efficient Solutions and Duality Results in a Multiobjective Optimization Problem with Mixed Constraints via Tangential Subdifferentials

Mohsine Jennane, El Mostafa Kalmoun (), Lahoussine Lafhim and Anouar Houmia
Additional contact information
Mohsine Jennane: LASMA, FSDM, Department of Mathematics Sidi Mohamed Ben Abdellah University, Fez 30000, Morocco
El Mostafa Kalmoun: School of Science and Engineering, Al Akhawayn University in Ifrane, Ifrane 53000, Morocco
Lahoussine Lafhim: LASMA, FSDM, Department of Mathematics Sidi Mohamed Ben Abdellah University, Fez 30000, Morocco
Anouar Houmia: Department of Mathematics, College of Science, King Khalid University, Abha 62529, Saudi Arabia

Mathematics, 2022, vol. 10, issue 22, 1-17

Abstract: We take up a nonsmooth multiobjective optimization problem with tangentially convex objective and constraint functions. In employing a suitable constraint qualification, we formulate both necessary and sufficient optimality conditions for (local) quasi efficient solutions in terms of tangential subdifferentials. Furthermore, under generalized convexity assumptions, we state strong, weak and converse duality relations of Wolfe and Mond–Weir types. We give a number of examples to illustrate the new concepts and main results of this paper.

Keywords: nonlinear programming; optimality conditions; quasi efficient solutions; tangential subdifferential; Wolfe and Mond–Weir duality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/22/4341/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/22/4341/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:22:p:4341-:d:977444

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().