A metric inequality for the Thompson and Hilbert geometries.
Generalizing the Fixed Point Index.
Positive Operators and Elliptic Eigenvalue Problems.
On the Uniqueness of the Topological Degree for k-Set-Contractions.
A quadratic integral equation
Boundary layer phenomena for differential-delay equations with state dependent time lags: II.
The arithmetic-geometric mean and its generalizations for noncommuting linear operators
Continuous extension of order-preserving homogeneous maps
Maps defined on the interior of the standard non-negative cone in which are both homogeneous of degree and order-preserving arise naturally in the study of certain classes of Discrete Event Systems. Such maps are non-expanding in Thompson’s part metric and continuous on the interior of the cone. It follows from more general results presented here that all such maps have a homogeneous order-preserving continuous extension to the whole cone. It follows that the extension must have at least...
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