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FUZZY SELECTION AND EXISTENCE OF FUZZY FIXED POINT

  • Kim, Won-Kyu;Park, Kyoo-Hong;Lee, Kyoung-Hee
    • Journal of applied mathematics & informatics
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    • v.2 no.1
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    • pp.17-24
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    • 1995
  • In this paper we shall prove a new fuzzy continuous selec-tion theorem in a compact convex set and next a fixed point theorem for fuzzy mappings is established.

A WEAK COMMON FIXED POINT THEOREM IN NORMED ALMOST LINEAR SPACES

  • Lee, Sang-Han
    • Journal of applied mathematics & informatics
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    • v.4 no.2
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    • pp.573-581
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    • 1997
  • In this paper we prove a weak common fixed point theo-rem in a normed almost linear space which is different from the result of S. P. Singh and B.A. Meade [9]. However for a Banach X our theorem is equal to the result of S. P. Singh and B. A. Meade.

ON A GENERALIZATION OF FENCHEL`S THEOREM

  • Chai, Y.D.;Kim, Moon-Jeong
    • Communications of the Korean Mathematical Society
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    • v.15 no.1
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    • pp.103-109
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    • 2000
  • In this paper, we present the proof of generalized Fenchel's theorem by estimating the Gauss-Kronecker curvature of the tube of a nondegenerate closed curve in R$^{n}$ .

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On a clary theorem

  • Ko, Eungil
    • Bulletin of the Korean Mathematical Society
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    • v.33 no.1
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    • pp.29-33
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    • 1996
  • In this paper we shall generalize a Clary theorem by using the local spectral theory; If $ T \in L(H)$ has property $(\beta)$ and A is any operator such that $A \prec T$, then $\sigma(T) \subseteq \sigma(A)$.

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A NOTE ON FELLER`S THEOREM

  • Hong, dug-Hun
    • Communications of the Korean Mathematical Society
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    • v.14 no.2
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    • pp.425-428
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    • 1999
  • In this note we have generalization of Feller`s theorem to real separable Banach spaces, from which we obtain easily Chow-Robbins “fair" games problem in the Banach spaces.aces.

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A Note on Central Limit Theorem for Deconvolution Wavelet Density Estimators

  • Lee, Sungho
    • Communications for Statistical Applications and Methods
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    • v.9 no.1
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    • pp.241-248
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    • 2002
  • The problem of wavelet density estimation based on Shannon's wavelets is studied when the sample observations are contaminated with random noise. In this paper we will discuss the asymptotic normality for deconvolving wavelet density estimator of the unknown density f(x) when courier transform of random noise has polynomial descent.