Some Remarks on Bi-level Vector Extremum Problems

Carla Antoni () and Franco Giannessi ()
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Carla Antoni: Naval Academy
Franco Giannessi: University of Pisa

A chapter in Constructive Nonsmooth Analysis and Related Topics, 2014, pp 137-157 from Springer

Abstract: Abstract The present note aims at introducing a new approach for handling bi-level vector extremum problems. After having defined a class of nonconvex functions on which it seems promising to carry on the research for such problems, the note is concentrated on the convex-linear bi-level problems; in this case, the results are compared with the existing literature. Suggestions for further research are given.

Keywords: Bi-level vector optimization; Vector optimization; Multiobjective optimization; Cone functions; Scalarization (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-1-4614-8615-2_9

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