Continuity of the superposition of set-valued functions.
Merentes, N., Nikodem, K., Rivas, S. (1997)
Journal of Applied Analysis
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Displaying similar documents to “On finite functions with non-trivial arity gap”
Continuity of the superposition of set-valued functions.
A note on the minimal essential set of coincident points for set-valued mappings.
Qun, Luo (2005)
Journal of Applied Mathematics and Stochastic Analysis
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Realcompactness and spaces of vector-valued functions
Jesus Araujo (2002)
Fundamenta Mathematicae
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It is shown that the existence of a biseparating map between a large class of spaces of vector-valued continuous functions A(X,E) and A(Y,F) implies that some compactifications of X and Y are homeomorphic. In some cases, conditions are given to warrant the existence of a homeomorphism between the realcompactifications of X and Y; in particular we find remarkable differences with respect to the scalar context: namely, if E and F are infinite-dimensional and T: C*(X,E) → C*(Y,F) is a biseparating...
On single-valuedness of set-valued maps satisfying linear inclusions.
Nikodem, Kazimierz, Popa, Dorian (2008)
Banach Journal of Mathematical Analysis [electronic only]
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An extension of Brunovský's Scorza-Dragoni type theorem for unbounded set-valued functions
Charles J. Himmelberg, F. S. Van Vleck (1976)
Mathematica Slovaca
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Fixed Points of n-Valued Multimaps of the Circle
Robert F. Brown (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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A multifunction ϕ: X ⊸ Y is n-valued if ϕ(x) is an unordered subset of n points of Y for each x ∈ X. The (continuous) n-valued multimaps ϕ: S¹ ⊸ S¹ are classified up to homotopy by an integer-valued degree. In the Nielsen fixed point theory of such multimaps, due to Schirmer, the Nielsen number N(ϕ) of an n-valued ϕ: S¹ ⊸ S¹ of degree d equals |n - d| and ϕ is homotopic to an n-valued power map that has exactly |n - d| fixed points. Thus the Wecken property, that Schirmer established...
Fixed points for generalized multi-valued contractions
Lj. B. Ćirić (1972)
Matematički Vesnik
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On generalized differential quotients of set-valued maps.
Girejko, E. (2005)
Rendiconti del Seminario Matematico
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Cauchy Mean Theorem
Adam Grabowski (2014)
Formalized Mathematics
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The purpose of this paper was to prove formally, using the Mizar language, Arithmetic Mean/Geometric Mean theorem known maybe better under the name of AM-GM inequality or Cauchy mean theorem. It states that the arithmetic mean of a list of a non-negative real numbers is greater than or equal to the geometric mean of the same list. The formalization was tempting for at least two reasons: one of them, perhaps the strongest, was that the proof of this theorem seemed to be relatively easy...
On monotone minimal cuscos
Karel Pastor, Dušan Bednařík (2001)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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