• Title/Summary/Keyword: Haus-dorff metric

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ON THE EXISTENCE OF SOLUTIONS FOR SOME VARIATIONAL-LIKE INEQUALITIES

  • Lee, Byung-Soo;Jung, Jong-Soo
    • Communications of the Korean Mathematical Society
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    • v.14 no.2
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    • pp.319-328
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    • 1999
  • In this paper we consider a kind of Minty`s lemma for multifunctions in Banach spaces, and apply it to obtain existence theorems for two kinds of variational-like inequalities using the KKM-Fan theorem.

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DIMENSIONALLY INVARIANT SPACES

  • Baek, In Soo
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.2
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    • pp.245-250
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    • 2009
  • We consider a code function from the unit interval which has a generalized dyadic expansion into a coding space which has an associated ultra metric. The code function is not a bi-Lipschitz map but a dimension-preserving map in the sense that the Hausdorff and packing dimensions of any subset in the unit interval and its image under the code function coincide respectively.

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