111 citations · 694 across the 56 of their papers we have counts for
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Uniqueness of the fixed point of nonexpansive semidifferentiable maps
Marianne Akian, Stephane Gaubert, Roger Nussbaum
We consider semidifferentiable (possibly nonsmooth) maps, acting on a subset of a Banach space, that are nonexpansive either in the norm of the space or in the Hilbert's or Thompso…
A Collatz-Wielandt characterization of the spectral radius of order-preserving homogeneous maps on cones
Marianne Akian, Stephane Gaubert, Roger Nussbaum
Several notions of spectral radius arise in the study of nonlinear order-preserving positively homogeneous self-maps of cones in Banach spaces. We give conditions that guarantee th…
Set coverings and invertibility of Functional Galois Connections
Marianne Akian, Stephane Gaubert, Vassili Kolokoltsov
We consider equations of the form Bf=g, where B is a Galois connection between lattices of functions. This includes the case where B is the Legendre-Fenchel transform, or more gene…