We prove that the notions of (Formula presented.) -cyclic quasimonotonicity and (Formula presented.) -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 defined by J.-P. Crouzeix and C. Gutan. Then this equivalence is extended to general Banach spaces.
- affine multivalued maps
- cyclic monotonicity
- cyclic quasimonotonicity
- index of asymmetry
- positive semidefinite matrices