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- W4386483303 abstract "Abstract In this work, a set-valued minimax programming problem (MP) is taken into account. In the broad sense of higher-order arcwisely connected set-valued maps, we introduce the concept of higher-order σ-arcwisely connectedness of set-valued maps. Under higher-order contingent epidifferentiation and higher-order σ-arcwisely connectivity suppositions, the higher-order sufficient criteria for Karush-Kuhn-Tucker (KKT) optimality are constructed for the problem (MP). Additionally, we develop the higher-order Mond-Weir, Wolfe, and mixed kinds of duality and demonstrate the higher-order strong, weak, and converse theorems of duality among our main problem (MP) and the associated duals under higher-order σ-arcwisely connectivity supposition. Mathematics Subject Classification (2000) 26B25 · 49N15" @default.
- W4386483303 created "2023-09-07" @default.
- W4386483303 creator A5053371036 @default.
- W4386483303 date "2023-09-06" @default.
- W4386483303 modified "2023-09-27" @default.
- W4386483303 title "Set-valued minimax programming problems under higher-order σ-arcwisely connectivity" @default.
- W4386483303 doi "https://doi.org/10.21203/rs.3.rs-3319677/v1" @default.
- W4386483303 hasPublicationYear "2023" @default.
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