Geodesic
Higher-Order Mond-Weir Duality of Set-Valued Fractional Minimax Programming Problems
Yugoslav journal of operations research, Tome 35 (2025) no. 4, p. 749

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In this paper, we consider a set-valued fractional minimax programming problem (abbreviated as SVFMPP) (MFP), in which both the objective and constraint maps are set-valued. We use the concept of higher-order α-cone arcwisely connectivity, introduced by Das [1], as a generalization of higher-order cone arcwisely connected setvalued maps. We explore the higher-order Mond-Weir (MWD) form of duality based on the supposition of higher-order α-cone arcwisely connectivity and prove the associated higher-order converse, strong, and weak theorems of duality between the primary (MFP) and the analogous dual problem (MWD).
Keywords: Contingent epiderivative, convex cone, arcwisely connectivity, duality, setvalued map 
Koushik Das. Higher-Order Mond-Weir Duality of Set-Valued Fractional Minimax Programming Problems. Yugoslav journal of operations research, Tome 35 (2025) no. 4, p. 749 . http://geodesic.mathdoc.fr/item/YJOR_2025_35_4_a1/
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     author = {Koushik Das},
     title = {Higher-Order {Mond-Weir} {Duality} of {Set-Valued} {Fractional} {Minimax} {Programming} {Problems}},
     journal = {Yugoslav journal of operations research},
     pages = {749 },
     year = {2025},
     volume = {35},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2025_35_4_a1/}
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