• 제목/요약/키워드: Selection theorem

검색결과 47건 처리시간 0.021초

On a New Selection Theorem

  • Kim, Won Kyu
    • 충청수학회지
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    • 제7권1호
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    • pp.47-51
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    • 1994
  • The purpose of this note is to give a new selection theorem which is an essential tool for proving the new kind of existence theorem of the equilibrium price comparable to the Debreu-Gale-Nikaido theorem.

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A selection theorem and its application

  • Lee, Gue-Myung;Kim, Do-Sang;Lee, Byung-Soo;Cho, Sung-Jin
    • 대한수학회논문집
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    • 제10권3호
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    • pp.759-766
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    • 1995
  • In this paper, we give equivalent forms of the selection theorem of Ding-Kim-Tan. As applications of the selection theorem of Ding-Kim-Tan, we obtain a fixed point theroem of Gale and Mas-Colell type and establish an equilibrium existence theorem for a qualitative game under suitable assumptions in a locally convex Hausdorff topological vector space.

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SELECTION THEOREMS WITH n-CONNECTDENESS

  • In-Sook Kim
    • 대한수학회지
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    • 제35권1호
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    • pp.165-175
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    • 1998
  • We give a generalization of the selection theorem of Ben-El-Mechaiekh and Oudadess to complete LD-metric spaces with the aid of the notion of n-connectedness. Our new selection theorem is used to obtain new results of fixed points and coincidence points for compact lower semicontinuous set-valued maps with closed values consisting of D-sets in a complete LD-metric space.

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A PROOF OF A CONVEX-VALUED SELECTION THEOREM WITH THE CODOMAIN OF A FRECHET SPACE

  • Cho, Myung-Hyun;Kim, Jun-Hui
    • 대한수학회논문집
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    • 제16권2호
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    • pp.277-285
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    • 2001
  • The purpose of this paper is to give a proof of a generalized convex-valued selection theorem which is given by weakening a Banach space to a completely metrizable locally convex topological vector space, i.e., a Frechet space. We also develop the properties of upper semi-continuous singlevalued mapping to those of upper semi-continuous multivalued mappings. These properties wil be applied in our further consideraations of selection theorems.

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A Note on a Theorem by Parida and Sen

  • Im, Sung-Mo;Kim, Won Kyu
    • 충청수학회지
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    • 제1권1호
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    • pp.3-6
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    • 1988
  • In a recent paper, Parida and Sen obtained a variational-like inequality. In this note, we obtain another variational-like inequality using Fan's minimax inequality [1] and Michael's selection theorem [2]. Also we generalize the Parida-Sen theorem in Banach spaces.

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ON THE THEORY OF SELECTIONS

  • LEE, SEUNG WOO
    • 호남수학학술지
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    • 제19권1호
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    • pp.125-130
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    • 1997
  • In this paper, we give a characterization of collectionwise normality using continuous functions. More precisely, we give a new and short proof of the Dowker's theorem using selection theory that a $T_1$ space X is collectionwise normal if every continuous mapping of every closed subset F of X into a Banach space can be continuously extended over X. This is also a generalization of Tietze's extension theorem.

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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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    • 제2권1호
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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 MISCELLANY OF SELECTION THEOREMS WITHOUT CONVEXITY

  • Kim, Hoonjoo
    • 호남수학학술지
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    • 제35권4호
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    • pp.757-764
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    • 2013
  • In this paper, we give sufficient conditions for a map with nonconvex values to have a continuous selection and the selection extension property in LC-metric spaces under the one-point extension property. And we apply it to weakly lower semicontinuous maps and generalize previous results. We also get a continuous selection theorem for almost lower semicontinuous maps with closed sub-admissible values in $\mathbb{R}$-trees.

The Prediction of the Expected Current Selection Coefficient of Single Nucleotide Polymorphism Associated with Holstein Milk Yield, Fat and Protein Contents

  • Lee, Young-Sup;Shin, Donghyun;Lee, Wonseok;Taye, Mengistie;Cho, Kwanghyun;Park, Kyoung-Do;Kim, Heebal
    • Asian-Australasian Journal of Animal Sciences
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    • 제29권1호
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    • pp.36-42
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    • 2016
  • Milk-related traits (milk yield, fat and protein) have been crucial to selection of Holstein. It is essential to find the current selection trends of Holstein. Despite this, uncovering the current trends of selection have been ignored in previous studies. We suggest a new formula to detect the current selection trends based on single nucleotide polymorphisms (SNP). This suggestion is based on the best linear unbiased prediction (BLUP) and the Fisher's fundamental theorem of natural selection both of which are trait-dependent. Fisher's theorem links the additive genetic variance to the selection coefficient. For Holstein milk production traits, we estimated the additive genetic variance using SNP effect from BLUP and selection coefficients based on genetic variance to search highly selective SNPs. Through these processes, we identified significantly selective SNPs. The number of genes containing highly selective SNPs with p-value <0.01 (nearly top 1% SNPs) in all traits and p-value <0.001 (nearly top 0.1%) in any traits was 14. They are phosphodiesterase 4B (PDE4B), serine/threonine kinase 40 (STK40), collagen, type XI, alpha 1 (COL11A1), ephrin-A1 (EFNA1), netrin 4 (NTN4), neuron specific gene family member 1 (NSG1), estrogen receptor 1 (ESR1), neurexin 3 (NRXN3), spectrin, beta, non-erythrocytic 1 (SPTBN1), ADP-ribosylation factor interacting protein 1 (ARFIP1), mutL homolog 1 (MLH1), transmembrane channel-like 7 (TMC7), carboxypeptidase X, member 2 (CPXM2) and ADAM metallopeptidase domain 12 (ADAM12). These genes may be important for future artificial selection trends. Also, we found that the SNP effect predicted from BLUP was the key factor to determine the expected current selection coefficient of SNP. Under Hardy-Weinberg equilibrium of SNP markers in current generation, the selection coefficient is equivalent to $2^*SNP$ effect.