Contractions and expansion

Let A be a finite set of reals and let K >= 1 be a real number. Suppose that for each a in A we are given an injective map f_a : A -> R which fixes a and contracts other points towards it in the sense that |a - f_a(x)| <= |a - x|/K for all x in A, and such that f_a(x) always lie...

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Bibliographic Details
Main Authors: Breuillard, E, Green, B
Format: Journal article
Published: 2011