Displaying similar documents to “Separating sets by Darboux-like functions”

Composition of functions.

Muthuvel, Kandasamy (2000)

International Journal of Mathematics and Mathematical Sciences

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On a subclass of the family of Darboux functions

Zbigniew Grande (2009)

Colloquium Mathematicae

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We investigate functions f: I → ℝ (where I is an open interval) such that for all u,v ∈ I with u < v and f(u) ≠ f(v) and each c ∈ (min(f(u),f(v)),max(f(u),f(v))) there is a point w ∈ (u,v) such that f(w) = c and f is approximately continuous at w.

Darboux type properties of the paratingent

Małgorzata Fedor, Joanna Szyszkowska (2008)

Annales UMCS, Mathematica

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In this paper we consider the Darboux type properties for the paratingent. We review some of the standard facts on the multivalued functions and the paratingent. We prove that the paratingent has always the Darboux property but the property D* holds only when the paratingent is a multivalued function.