Unification of Higher-Order Dual Programs Over Cones

S. Saini () and N. Kailey
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S. Saini: Department of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147004, India
N. Kailey: Department of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147004, India

Asia-Pacific Journal of Operational Research (APJOR), 2024, vol. 41, issue 06, 1-25

Abstract: This paper unified Wolfe and Mond–Weir-type higher-order symmetric dual multiobjective programs over arbitrary cones. The usual duality theorems are proved for unified dual programs under the assumptions of higher-order K-η-convexity. Several known results are obtained as special cases. An example is given to show how higher-order Wolfe and Mond–Weir-type symmetric duals can be extracted from our model. An example is presented to show the existence of higher-order K-η-convex functions.

Keywords: Multiobjective programming; symmetric duality; mixed higher-order dual; K-η-convexity (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0217595923500422

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