• Title/Summary/Keyword: East Asian mathematics

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PSEUDO-BCI ALGEBRAS

  • Dudek, Wieslaw A.;Jun, Young-Bae
    • East Asian mathematical journal
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    • v.24 no.2
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    • pp.187-190
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    • 2008
  • As a generalization of BCI-algebras, the notion of pseudo-BCI algebras is introduced, and some of their properties are investigated. Characterizations of pseudo-BCI algebras are established. Some conditions for a pseudo-BCI algebra to be a pseudo-BCK algebra are given.

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COMMON FIXED POINT, MULTIMAPS IN FUZZY METRIC SPACE

  • Kubiaczyk, I.;Sharma, Sushil
    • East Asian mathematical journal
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    • v.18 no.2
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    • pp.175-182
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    • 2002
  • The purpose of this paper is to obtain some common fixed point theorems for multivalued mappings in fuzzy metric space. Of course this is a new result on this line.

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SOME EINSTEIN PRODUCT MANIFOLDS

  • Park, Joon-Sik;Moon, Kyung-Suk
    • East Asian mathematical journal
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    • v.18 no.2
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    • pp.235-243
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    • 2002
  • In this paper, we get conditions for the natural projections of some product manifolds with varying metrics of two Riemannian manifolds to be harmonic, and necessary and sufficient conditions for some product manifolds with the harmonic natural projections of two Einstein manifolds to be Einstein manifolds.

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NON-DIFFERENTIABLE POINTS OF A SELF-SIMILAR CANTOR FUNCTION

  • Baek, In-Soo;Kim, Young-Ha
    • East Asian mathematical journal
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    • v.19 no.2
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    • pp.213-219
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    • 2003
  • We study the properties of non-diffenrentiable points of a self-similar Cantor function from which we conjecture a generalization of Darst's result that the Hausdorff dimension of the non-diffenrentiable points of the Cantor function is $(\frac{ln\;2}{ln\;3})^2$.

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