In this paper, we study strong Karush–Kuhn–Tucker optimality conditions for Borwein properly efficient solutions of multiobjective semi-infinite programming. By using some regularity conditions in the sense of Mordukhovich subdifferentials and Clarke subdifferentials, we obtain some strong necessary optimality conditions for Borwein properly efficient solutions. Some examples are also provided to illustrate that our regularity conditions have more advantages than the previous regularity conditions in some cases.
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The author would like to thank the Editors for the help in the processing of the article. The author is very grateful to the Anonymous Referee for the valuable remarks, which helped to improve the paper. This work is partially supported by Can Tho University.
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Tung, L.T. Strong Karush–Kuhn–Tucker Optimality Conditions for Borwein Properly Efficient Solutions of Multiobjective Semi-infinite Programming. Bull Braz Math Soc, New Series 52, 1–22 (2021). https://doi.org/10.1007/s00574-019-00190-9
- Multiobjective semi-infinite programming
- Mordukhovich subdifferentials
- Clarke subdifferentials
- Borwein properly efficient solutions
- Strong KKT optimality conditions
Mathematics Subject Classification