• 제목/요약/키워드: convergence department

검색결과 14,816건 처리시간 0.034초

A CONVERGENCE THEOREM ON QUASI-ϕ-NONEXPANSIVE MAPPINGS

  • Kang, Shin Min;Cho, Sun Young;Kwun, Young Chel;Qin, Xiaolong
    • 충청수학회지
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    • 제23권1호
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    • pp.73-82
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    • 2010
  • In an infinite-dimensional Hilbert space, the normal Mann iteration has only weak convergence, in general, even for nonexpansive mappings. The purpose of this paper is to modify the normal Mann iteration to have strong convergence for a closed quasi-$\phi$-nonexpansive mapping in the framework of Banach spaces.

SOME GENERAL CONVERGENCE PRINCIPLES WITH APPLICATIONS

  • Zhou, H.Y.;Gao, G.L.;Guo, G.T.;Cho, Y.J.
    • 대한수학회보
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    • 제40권3호
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    • pp.351-363
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    • 2003
  • In the present paper, some general convergence principles are established in metric spaces and then theses principles are applied to the convergence of the iterative sequences for approximating fixed points of certain classes of mappings. By virtue of our principles, most of the latest results obtained by several authors can be deduced easily.

스마트폰 애플리케이션 서비스의 기술-서비스 융합 양상 분석 (Analyzing Technology-Service Convergence Using Smartphone Application Services)

  • 금영정;민혜종
    • 대한산업공학회지
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    • 제42권1호
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    • pp.1-19
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    • 2016
  • Recently, the emergence of smartphone foster the technological convergence. This convergence no longer takes place within technologies only. Rather, convergence phenomena happen as a form of embodied services. However, previous research on convergence has been subject to the technology-oriented studies, including suggesting patent-based indexes or analyzing technological characteristics. However, investigating technology-service convergence is critical since most of new smart services are technology-based convergence services. Therefore, we analyze the pattern of technology-service convergence which occurs in the smartphone application services. We divided the smatphone application services into four categories, and employ a network analysis to represent the convergence phenomena of each category. Our study is expected to provide meaningful implication in new service development practice.

HYPO-CONVERGENCE OF SEQUENCES OF FUZZY SETS AND MAXIMIZATION

  • Tortop, Sukru;Dundar, ErdInC
    • 호남수학학술지
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    • 제44권3호
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    • pp.461-472
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    • 2022
  • In optimization theory, hypo-convergence is considered as an effective tool by providing the convergence of supremum values under some conditions. This feature makes it different from other types of convergence. Therefore, we have defined the hypo-convergence of a sequence of fuzzy sets due to the increasing interest in fuzzy set theory in recent years. After giving a theoretical framework, we deal with the optimization process by using a sequential characterization of hypo-convergence of sequence of fuzzy sets. Since the maximization process in optimization theory is beyond the presence of hypo-convergence, we give some conditions to satisfy the convergence of supremum values. Furthermore, we show how sequence of fuzzy sets and fuzzy numbers differ in the convergence of the supremum values.

ON QUASI-FUZZY H-CLOSED SPACE AND CONVERGENCE

  • Yoon, Kyo-Chil;Myung, Jae-Duek
    • Korean Journal of Mathematics
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    • 제4권2호
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    • pp.173-178
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    • 1996
  • In this paper, we discuss quasi-fuzzy H-closed space and introduce ${\theta}$-convergence of prefilter in fuzzy topological space. And we define ${\theta}$-closed fuzzy set using by ${\theta}$-convergence.

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Fibrewise Hausdorff Convergence Spaces

  • Lee, Seok Jong;Lee, Eun Pyo
    • 충청수학회지
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    • 제5권1호
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    • pp.167-172
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    • 1992
  • In this paper, we introduce $T_0$, $T_1$ and Hausdorff axioms in fibrewise convergence spaces as a generalization of fibrewise topological spaces and of convergence spaces. Furthermore we investigate some results about the fibrewise Hausdorff convergence space.

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열처리된 Pine/탄소섬유 복합재료의 기계적 및 계면물성 향상을 위한 최적 조건 (Optimum Conditions for Improvement of Mechanical and Interfacial Properties of Thermal Treated Pine/CFRP Composites)

  • 신평수;김종현;박하승;백영민;권동준;박종만
    • Composites Research
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    • 제30권4호
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    • pp.241-246
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    • 2017
  • 취성을 가진 섬유강화플라스틱은 충격을 받을 때 충격에너지를 흡수하면서 섬유와 기지재 간 계면에서 탈착 및 박리가 일어난다. 이는 복합재료의 에너지 충격흡수정도의 지표로 삼을 수 있다. 복합재료의 취성을 해결하기 위해 pine과 복합재료의 접착에 대한 연구가 되어 지고 있다. 이번 연구에서는 열처리 된 pine이 탄소섬유강화복합재료와 에폭시 접착제를 이용하여 접착되었다. 최적의 열처리 조건을 확인하기 위해, pine을 160도 및 200도 조건하에 열처리를 하였다. Pine 및 pine/탄소섬유복합재료의 기계적 및 계면물성을 파악하기 위해 인장, 인장중첩전단 및 아이조드 실험을 하였다. 또한, 열처리에 따른 나뭇결간의 결합력을 확인하기 위해 나뭇결 수직방향으로 인장시편 제조 후 파단될 때 탄성파를 음향방출시스템을 이용하여 분석하였다. 160도 조건으로 열처리 했을 때 나무강화 효과로 기계, 계면 및 나뭇결간의 결합력이 좋은 것을 확인하였다. 그러나 과한 열을 주게 되면 열에 약한 헤미셀룰로오스가 분해되면서 잡아주는 인자가 줄어들어 물성이 감소하였다.