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Duality in Wolfe and Mond–Weir-Type Mixed-Dual Optimization Problems | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 03 اردیبهشت 1405 اصل مقاله (126.71 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2026.38130.5496 | ||
| نویسندگان | ||
| Nader Kanzi* 1؛ Fahimeh-alsadat Kazemi Bafruei2 | ||
| 1Department of Mathematics, Payame Noor University (PNU), Tehran, Iran | ||
| 2Department of Mathematics. Payame noor University. | ||
| تاریخ دریافت: 30 خرداد 1404، تاریخ بازنگری: 08 اسفند 1404، تاریخ پذیرش: 29 اسفند 1404 | ||
| چکیده | ||
| In this paper, we introduce two novel dual formulations for optimization problems governed by inequality constraints. The considered problems are characterized by differentiable functions. The proposed dual problems are parameterized by a set-valued parameter, where different values of this parameter reduce the dual formulations to the Wolfe and Mond–Weir dual problems. Consequently, the proposed dual problem serves as a unified generalization of both. Furthermore, we establish the weak, strong, converse, restricted converse, and strict converse duality results for the formulated dual problems. | ||
| کلیدواژهها | ||
| ِDual problem؛ Duality results؛ Constraint qualification؛ Optimality | ||
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آمار تعداد مشاهده مقاله: 59 تعداد دریافت فایل اصل مقاله: 80 |
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