Polar Conic Set-Valued Map in Vector Optimization. Continuity and Derivability

P. Jiménez Guerra (), M. A. Melguizo and M. J. Muñoz-Bouzo
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P. Jiménez Guerra: U.N.E.D.
M. A. Melguizo: Universidad de Alicante
M. J. Muñoz-Bouzo: U.N.E.D.

Journal of Optimization Theory and Applications, 2009, vol. 142, issue 2, No 5, 343-354

Abstract: Abstract In the context of vector optimization, several results are stated mainly about the continuity and the derivability of a conic set-valued map (the polar conic function) having a close relation with the positive efficient points, the ideal points and other distinguished elements of the efficient line. The contingent cone to the set of the general positive quasiefficient points at a point x 0 is also related with the frontier of the dual cone of the image at x 0 of the polar conic function.

Keywords: Continuity and derivability of set-valued maps; Vector optimization (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/s10957-009-9542-3

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