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Operations Research Proceedings 2013 pp 153–159Cite as

Characterizing Relatively Minimal Elements via Linear Scalarization

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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.

Author information

Authors and Affiliations

  1. Department of Mathematics, Chemnitz University of Technology, 09107, Chemnitz, Germany

    Sorin-Mihai Grad

  2. Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Str. Mihail Kogălniceanu 1, 400084, Cluj-Napoca, Romania

    Emilia-Loredana Pop

Authors
  1. Sorin-Mihai Grad
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  2. Emilia-Loredana Pop
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Corresponding author

Correspondence to Sorin-Mihai Grad .

Editor information

Editors and Affiliations

  1. Econometric Institute, Erasmus School of Economics, Erasmus University Rotterdam, Rotterdam, The Netherlands

    Dennis Huisman

  2. Erasmus School of Economics, Erasmus University Rotterdam, Rotterdam, The Netherlands

    Ilse Louwerse

  3. Erasmus School of Economics, Erasmus University Rotterdam, Rotterdam, The Netherlands

    Albert P.M. Wagelmans

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© 2014 Springer International Publishing Switzerland

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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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