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- W4281677909 abstract "We consider a scalarization function, which was introduced by Eichfelder [Variable ordering structures in vector optimization. Berlin: Springer-Verlag; 2014 (Series in vector optimization)], based on the oriented distance of Hiriart–Urruty with respect to a general variable ordering structure (VOS). We first study the continuity of the composition of a set-valued map with the oriented distance. Then, using the obtained results, we study the continuity of the scalarization function by extending some concepts of continuity for cone-valued maps. As an application, convergence in the sense of Painlevé–Kuratowski of sets of weak minimal solutions is provided, with the vector criterion and a VOS. Illustrative examples are also given." @default.
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- W4281677909 date "2022-05-30" @default.
- W4281677909 modified "2023-09-27" @default.
- W4281677909 title "Continuity of a scalarization in vector optimization with variable ordering structures and application to convergence of minimal solutions" @default.
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- W4281677909 doi "https://doi.org/10.1080/02331934.2022.2081569" @default.
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