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Bilevel vector variational inequalities and multiobjective bilevel optimization problems | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 19، دوره 12، شماره 1، خرداد 2027، صفحه 297-313 اصل مقاله (454.57 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2025.29874.2200 | ||
| نویسندگان | ||
| Mohsine Jennane* 1؛ El Mostafa Kalmoun2 | ||
| 1FSDM, Department of mathematics, Sidi Mohamed Ben Abdellah University, Fez, Morocco | ||
| 2School of Science and Engineering, Al Akhawayn University in Ifrane, PO Box 104, Ifrane, 53000, Morocco | ||
| چکیده | ||
| In this paper, we introduce the concepts of bilevel vector variational inequalities (BVVI) of both Minty and Stampacchia types. Additionally, we establish connections between BVVI and multiobjective bilevel optimization problems (MBOP), focusing on the use of tangential subdifferentials. We investigate the relationship between the vector efficient points of MBOP and the solutions of BVVI, particularly under conditions of generalized convexity. | ||
| کلیدواژهها | ||
| multiobjective bilevel optimization؛ bilevel vector variational inequalities؛ tangential subdifferential؛ generalized convexity؛ monotonicity | ||
| مراجع | ||
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