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.