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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Mohsine Jennane & El Mostafa Kalmoun & Lahoussine Lafhim & Anouar Houmia, 2022. "Quasi Efficient Solutions and Duality Results in a Multiobjective Optimization Problem with Mixed Constraints via Tangential Subdifferentials," Mathematics, MDPI, vol. 10(22), pages 1-17, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:22:p:4341-:d:977444
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    Cited by:

    1. Adrian Marius Deaconu & Daniel Tudor Cotfas & Petru Adrian Cotfas, 2023. "Advanced Optimization Methods and Applications," Mathematics, MDPI, vol. 11(9), pages 1-7, May.

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