Displaying similar documents to “Iterates of maps which are non-expansive in Hilbert's projective metric”

Contractions of Nadler type on partial tvs-cone metric spaces

Xun Ge, Shou Lin (2015)

Colloquium Mathematicae

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This paper introduces partial tvs-cone metric spaces as a common generalization of both tvs-cone metric spaces and partial metric spaces, and gives a new fixed point theorem for contractions of Nadler type on partial tvs-cone metric spaces. As corollaries, we obtain the main results of S. B. Nadler (1969), D. Wardowski (2011), S. Radenović et al. (2011) and H. Aydi et al. (2012) are deduced.

Continuous extension of order-preserving homogeneous maps

Andrew D. Burbanks, Colin T. Sparrow, Roger D. Nussbaum (2003)

Kybernetika

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Maps f defined on the interior of the standard non-negative cone K in ℝ N which are both homogeneous of degree 1 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...

Uniqueness of Kähler-Einstein cone metrics.

Thalia D. Jeffres (2000)

Publicacions Matemàtiques

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The purpose of this paper is to describe a method to construct a Kähler metric with cone singularity along a divisor and to illustrate a type of maximum principle for these incomplete metrics by showing that Kähler-Einstein metrics are unique in geometric Hölder spaces.