Séminaire Modélisation, Optimisation, Dynamique

Equivalence between p-cyclic quasimonotonicity and p-cyclic monotonicity of affine maps

par Eladio Ocana (Instituto de Matemática y Ciencias Afines, Lima (Peru))

Europe/Paris
XLIM Salle X.203

XLIM Salle X.203

FST-Université de Limoges, 123, Av. Albert Thomas.
Description
We show that the notions of p-cyclic quasimonotonicity and p-cyclic monotonicity are equivalent for affine maps defined on Banach spaces. First this is done in a finite dimensional space by using the index of asymmetry for matrices. Then this equivalence is extended to general Banach spaces.