Abstract
In this note we investigate some properties of the relatively minimal elements of a set with respect to a convex cone that has a nonempty quasi-relative interior, in particular their characterization via linear scalarization.
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Acknowledgments
We are grateful to Dr. Ernö Robert Csetnek for some useful comments he made to us during the early stages of the research that resulted in this note. The work of the first author was done within the framework of the DFG-Project WA 922/8-1.
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Grad, SM., Pop, EL. (2014). Characterizing Relatively Minimal Elements via Linear Scalarization. In: Huisman, D., Louwerse, I., Wagelmans, A. (eds) Operations Research Proceedings 2013. Operations Research Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-319-07001-8_21
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DOI: https://doi.org/10.1007/978-3-319-07001-8_21
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