Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Articles in Press 2026 04 23 Duality in Wolfe and Mond–Weir-Type Mixed-Dual Optimization Problems 10584 10.22075/ijnaa.2026.38130.5496 EN Nader Kanzi Department of Mathematics, Payame Noor University (PNU), Tehran, Iran Fahimeh-alsadat Kazemi Bafruei Department of Mathematics. Payame noor University. Journal Article 2025 06 20 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. https://ijnaa.semnan.ac.ir/article_10584_cf372cbe6eae54c6a6dfb3ebbcdc3404.pdf