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Topological Homotheties on Compact Metrizable Spaces
Published online by Cambridge University Press: 20 November 2018
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Notation and definitions.
Definition 1. Let (X, ρ) be a metric space and ϕ: X → X a continuous self-mapping of X. We shall call ϕ and α-contraction on (X, ρ) if and only if α ϵ [0,1) and . We shall call ϕ an α-homothety on (X, ρ) if and only if α > 0 and .
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- Copyright © Canadian Mathematical Society 1968