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.
Kanzi, N. & Kazemi Bafruei, F. (2026). Duality in Wolfe and Mond–Weir-Type Mixed-Dual Optimization Problems. (e10584). International Journal of Nonlinear Analysis and Applications, (), e10584 https://doi.org/10.22075/ijnaa.2026.38130.5496
MLA
Kanzi, N., & Kazemi Bafruei, F. "Duality in Wolfe and Mond–Weir-Type Mixed-Dual Optimization Problems" .e10584 , International Journal of Nonlinear Analysis and Applications, , 2026, e10584. doi: 10.22075/ijnaa.2026.38130.5496
HARVARD
Kanzi, N., & Kazemi Bafruei, F. (2026). 'Duality in Wolfe and Mond–Weir-Type Mixed-Dual Optimization Problems', International Journal of Nonlinear Analysis and Applications, (), e10584. doi: 10.22075/ijnaa.2026.38130.5496
CHICAGO
Kanzi, N. & Kazemi Bafruei, F., "Duality in Wolfe and Mond–Weir-Type Mixed-Dual Optimization Problems." International Journal of Nonlinear Analysis and Applications, (2026): e10584, doi: 10.22075/ijnaa.2026.38130.5496
VANCOUVER
Kanzi N., Kazemi Bafruei F. Duality in Wolfe and Mond–Weir-Type Mixed-Dual Optimization Problems. IJNAA. 2026;():e10584. doi: 10.22075/ijnaa.2026.38130.5496
International Journal of Nonlinear Analysis and Applications