33 citations · 34 across the 2 of their papers we have counts for
3 papers
math.FA2016
Detecting fixed points of nonexpansive maps by illuminating the unit ball
Bas Lemmens, Brian Lins, Roger Nussbaum
We give necessary and sufficient conditions for a nonexpansive map on a finite dimensional normed space to have a nonempty, bounded set of fixed points. Among other results we show…
math.DS2004★ 33 cited
Iteration of order preserving subhomogeneous maps on a cone
Marianne Akian, Stephane Gaubert, Bas Lemmens +1
We investigate the iterative behaviour of continuous order preserving subhomogeneous maps that map a polyhedral cone into itself. For these maps we show that every bounded orbit co…
math.FA2003★ 1 cited
Notes on the Second Eigenvalue of the Google Matrix
Roger Nussbaum
If is an matrix whose eigenvalues are ordered in terms of decreasing modules, , it is often of interest to estimate $\frac{|λ_…