• Title/Summary/Keyword: retraction

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THE INVARIANT OF IMMERSIONS UNDER ISOTWIST FOLDING

  • El-Ghoul, Mabrouk Salam;Basher, Mohamed Esmail
    • Journal of the Chungcheong Mathematical Society
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    • v.18 no.1
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    • pp.65-72
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    • 2005
  • In this paper we will introduce all types of the isotwist foldings of a manifold M into itself. The limits of the isotwist foldings of a manifold are obtained. Also the relations between conditional retraction and this type of the folding are achieved. Finally the variant and invariant of the immersion under the type of folding are deduced.

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ITERATIVE ALGORITHMS WITH ERRORS FOR ZEROS OF ACCRETIVE OPERATORS IN BANACH SPACES

  • Jung, Jong-Soo
    • Journal of applied mathematics & informatics
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    • v.20 no.1_2
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    • pp.369-389
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    • 2006
  • The iterative algorithms with errors for solutions to accretive operator inclusions are investigated in Banach spaces, including a modification of Rockafellar's proximal point algorithm. Some applications are given in Hilbert spaces. Our results improve the corresponding results in [1, 15-17, 29, 35].

수문용 대형 유압실린더의 신뢰성평가기준개발

  • 김형의;정동수;이용범;이근호;강보식;윤소남;성백주;김도식;조정대
    • Proceedings of the Korean Reliability Society Conference
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    • 2000.11a
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    • pp.75-86
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    • 2000
  • 본 연구사례는 댐 수문용 대형유압실린더(Piston Diameter :630mm, Stroke:8.3m, weight :30ton, Retraction Force:450ton)의 신뢰성평가를 위한 검토과정에서 제기된 문제를 보완하여, 평가규격을 정립하고, 시험장비를 구축하여, 초대형 유압실린더의 신뢰성 평가를 실시한 사례에 대하여 정리한 것이다.

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EIGENVALUES OF COUNTABLY CONDENSING MAPS

  • Kim, In-Sook;Kim, Yun-Ho;Kwon, Sung-Hui
    • Journal of the Korean Mathematical Society
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    • v.46 no.2
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    • pp.271-279
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    • 2009
  • Using an index theory for countably condensing maps, we show the existence of eigenvalues for countably k-set contractive maps and countably condensing maps in an infinite dimensional Banach space X, under certain condition that depends on the quantitative haracteristic, that is, the infimum of all $k\;{\geq}\;1$ for which there is a countably k-set-contractive retraction of the closed unit ball of X onto its boundary.

VISCOSITY APPROXIMATIONS FOR NONEXPANSIVE NONSELF-MAPPINGS IN BANACH SPACES

  • Jung, Jong-Soo
    • East Asian mathematical journal
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    • v.26 no.3
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    • pp.337-350
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    • 2010
  • Strong convergence theorem of the explicit viscosity iterative scheme involving the sunny nonexpansive retraction for nonexpansive nonself-mappings is established in a reflexive and strictly convex Banach spaces having a weakly sequentially continuous duality mapping. The main result improves the corresponding result of [19] to the more general class of mappings together with certain different control conditions.

ITERATIVE ALGORITHMS WITH ERRORS FOR NONEXPANSIVE MAPPINGS IN BANACH SPACES

  • Jung, Jong-Soo
    • Bulletin of the Korean Mathematical Society
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    • v.43 no.4
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    • pp.771-790
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    • 2006
  • The iterative algorithms with errors for nonexpansive mappings are investigated in Banach spaces. Strong convergence theorems for these algorithms are obtained. Our results improve the corresponding results in [5, 13-15, 23, 27-29, 32] as well as those in [1, 16, 19, 26] in framework of a Hilbert space.