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» A fixed point theorem for discontinuous functions
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ORL
2008
71views more  ORL 2008»
13 years 4 months ago
A fixed point theorem for discontinuous functions
P. Jean-Jacques Herings, Gerard van der Laan, Dolf...
DAM
2008
123views more  DAM 2008»
13 years 4 months ago
Ultrametrics, Banach's fixed point theorem and the Riordan group
We interpret the reciprocation process in K[[x]] as a fixed point problem related to contractive functions for certain adequate ultrametric spaces. This allows us to give a dynamic...
Ana Luzón, Manuel A. Morón
DAGSTUHL
2008
13 years 6 months ago
Interval Arithmetic and Standardization
Interval arithmetic is arithmetic for continuous sets. Floating-point intervals are intervals of real numbers with floating-point bounds. Operations for intervals can be efficient...
Jürgen Wolff von Gudenberg
MOR
2010
115views more  MOR 2010»
12 years 11 months ago
Directional Derivatives of Oblique Reflection Maps
Given an oblique reflection map and functions , Dlim (the space of functions that have left and right limits at every point), the directional derivative () of along , evaluate...
Avi Mandelbaum, Kavita Ramanan