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Article Dans Une Revue Set-Valued and Variational Analysis Année : 2018

Set-Valued and Variational Analysis Theory and Applications

Résumé

In this work we are interested in the Demyanov-Ryabova conjecture for a finite family of polytopes. The conjecture asserts that after a finite number of iterations (successive dualizations), either a 1-cycle or a 2-cycle eventually comes up. In this work we establish a strong version of this conjecture under the assumption that the initial family contains "enough minimal polytopes" whose extreme points are "well placed".
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Dates et versions

hal-02373848 , version 1 (22-10-2020)

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Aris Daniilidis, Colin Petitjean. Set-Valued and Variational Analysis Theory and Applications. Set-Valued and Variational Analysis, 2018, 26 (1), pp.143-157. ⟨10.1007/s11228-017-0439-2⟩. ⟨hal-02373848⟩
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