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Mond–Weir Duality and Optimality for Nonsmooth Vector Bilevel Programs in Terms of Approximations | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 06 تیر 1405 | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2026.30734.2599 | ||
| نویسندگان | ||
| Rishabh Pandey1؛ Yogendra Pandey* 2؛ Vinay Singh1 | ||
| 1Department of Mathematics, National Institute of Technology Mizoram, Aizawl, 796012, Mizoram, India | ||
| 2Department of Mathematics, Satish Chandra College, Ballia, India | ||
| چکیده | ||
| This paper addresses a nonsmooth vector bilevel optimization problem. By reformulating the hierarchical model into a single-level problem using the optimal value approach, we establish sufficient optimal- ity conditions for the nonsmooth extremum problem. These conditions rely on the assumption that the functions involved exhibit generalized convexity, characterized through their approximations. Additionally, we introduce Mond–Weir-type dual models for these problems and prove several duality theorems within the generalized convexity frame- work. The applicability of these optimality conditions is demonstrated through illustrative examples of nonsmooth vector bilevel optimization problems. | ||
| کلیدواژهها | ||
| Optimality؛ Mond–Weir-type dual؛ Bilevel Optimization | ||
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