• Title/Summary/Keyword: the duality

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STRONG CONVERGENCE OF COMPOSITE ITERATIVE METHODS FOR NONEXPANSIVE MAPPINGS

  • Jung, Jong-Soo
    • Journal of the Korean Mathematical Society
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    • v.46 no.6
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    • pp.1151-1164
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    • 2009
  • Let E be a reflexive Banach space with a weakly sequentially continuous duality mapping, C be a nonempty closed convex subset of E, f : C $\rightarrow$C a contractive mapping (or a weakly contractive mapping), and T : C $\rightarrow$ C a nonexpansive mapping with the fixed point set F(T) ${\neq}{\emptyset}$. Let {$x_n$} be generated by a new composite iterative scheme: $y_n={\lambda}_nf(x_n)+(1-{\lambda}_n)Tx_n$, $x_{n+1}=(1-{\beta}_n)y_n+{\beta}_nTy_n$, ($n{\geq}0$). It is proved that {$x_n$} converges strongly to a point in F(T), which is a solution of certain variational inequality provided the sequence {$\lambda_n$} $\subset$ (0, 1) satisfies $lim_{n{\rightarrow}{\infty}}{\lambda}_n$ = 0 and $\sum_{n=0}^{\infty}{\lambda}_n={\infty}$, {$\beta_n$} $\subset$ [0, a) for some 0 < a < 1 and the sequence {$x_n$} is asymptotically regular.

Employment Structure in Korea: Characteristics & Problems (우리나라 고용구조의 특징과 과제)

  • Jang, Keunho
    • Economic Analysis
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    • v.25 no.1
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    • pp.66-122
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    • 2019
  • As the Korean economy grew, employment expanded steadily, with the number of economically active people increasing and the employment-to-population rate also increasing. However, the working age population started to decline in 2017, and the employment of women and young people has been sluggish. The proportion of non-salaried workers in Korea is much higher than in other OECD countries, and is also excessive, considering Korea's income levels. In addition, the proportion of non-regular workers and the proportion of workers employed at small companies are particularly high among salaried workers. In light of these characteristics of Korean employment, the urgent problems facing the employment structure can be summarized by the deepening dual structure of the labor market, the increase in youth unemployment, sluggish female employment figures, and an excessive share of self-employment. Overall, it is seen that labor market duality is the main structural factor of the employment problems in Korea. Therefore, in order to fundamentally address this employment problem, it is necessary to concentrate policy efforts on alleviating labor market duality.

Duality in Value Structure and Behavioral Judgment System: Comparisons Between Undergraduates, Adults and North Korean Defectors (한국인의 가치구조와 행동판단에서의 이중성: 대학생, 성인 및 탈북자를 중심으로)

  • Taeyun Jung;Kwan-Jae Song
    • Korean Journal of Culture and Social Issue
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    • v.12 no.3
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    • pp.49-68
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    • 2006
  • The present study was attempted to compare duality in value structure and judgment system between youth, adults and North Korean defectors. A questionnaire was administered to 150 college students(Men: 89, Women: 61), 155 adults(Men: 80, Women: 75) and 80 North Korean defectors(Men: 39, Women: 41). Participants rated their values, behavior and South Korean behavior (or North Korean behavior for North Korean defectors) as a whole both on the 7 dimensions relevant to characteristics indigenous to Korean society and on their opposite 7 dimensions characteristic of Western culture. Results indicated that defectors marked the highest score on the traditional value dimensions, and yet youth ranked the first for the western value systems. Also, duality in value systems was the most severe for the defectors. In relation to dual judgement system in behavior, both young and old generation judged Korean behavior more negatively than their own. This was also the case for the North Korean defectors. Those findings were discussed in terms of cultural changes in Korean society.

The $\epsilon$-Symmetric Relation Between the Lagrangean Relaxation and the Benders' Decomposition for Large Scale Mixed Integer Programming (대규모 혼합전수계획 문제를 풀기 위한 라구랑지 이완기법과 벤더스 분할기법과의 대칭적 관계)

  • 조성철;김세헌
    • Journal of the Korean Operations Research and Management Science Society
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    • v.14 no.2
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    • pp.19-26
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    • 1989
  • We in this paper have defined the concept of .epsilon.-symmetric relation between the Lagrangean relaxation and the Benders' decomposition. This links the solutions of the Lagrangean subproblems and those of the Benders' subproblems even under positive duality gaps. As an application we have discussed the reduction of the size for a special class of problems.

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A unified analysis method for capacitance and inductance of power transmission lines (송전선의 정전용량과 인덕턴스의 통일적 해석법)

  • 황석영
    • 전기의세계
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    • v.29 no.3
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    • pp.185-192
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    • 1980
  • It is revealed that duality and similarity between both capacitance and inductance systems coexist, and also that the former is more efficient than the latter in application viewpoints in time-invariant linear cases as far as both systems are concerned. This paper, using the similarity relation, proposes a new magnetics capacity concept similar to electrostatic capacity so that inductance systems may be interpreted as the corresponding capacitance systems. The new concept makes it convenient to analyze the both systems by unified approach. Finally an example demonstrates the applicability and convenience of the proposed method, through the analysis of capacitances and inductances on the transposed transmission line.

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Image Reconstruction of Dielectric Cylinder Under Born Approximation Using a Coherent Tomographic Scheme in the Spatial Domain (공간영역에서 코히어런트 단층촬영 기법을 이용한 Born 근사하에 유전체 기둥의 영상제현)

  • 서경환;김상기;김세윤;라정웅
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.27 no.9
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    • pp.1327-1335
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    • 1990
  • In this paper, using the principle of duality between the spatial and spectral domain, we proposed a new microwave imaging technique of a coherent tomographic formulation in the spatial domain and reconstructed the image of dielectric cylinder through simulation and experiment. The numerical and experimental results for the variety o object size, relative dielectric constant have shown the limitation of Born approximation to be used and the effect of retrieved images for various signal bandwidth.

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New Force Expression on Dielectrics: Equivalent Electrifying Current Method

  • Choi, Hong-Soon;Lee, Se-Hee
    • Journal of Electrical Engineering and Technology
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    • v.12 no.6
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    • pp.2262-2267
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    • 2017
  • A new force expression on dielectrics subjected to electric field is proposed in this paper. It is the electric version of the equivalent magnetizing current method in magnetic field. From the idea of electromagnetic duality, virtual equivalent electrifying magnetic current method is conjectured in the field of dielectric force problem. Numerical results show that the proposed method has good agreements with the conventional methods. The merits and demerits of the proposed method are also discussed.

DUALITIES OF VARIABLE ANISOTROPIC HARDY SPACES AND BOUNDEDNESS OF SINGULAR INTEGRAL OPERATORS

  • Wang, Wenhua
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.2
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    • pp.365-384
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    • 2021
  • Let A be an expansive dilation on ℝn, and p(·) : ℝn → (0, ∞) be a variable exponent function satisfying the globally log-Hölder continuous condition. Let Hp(·)A (ℝn) be the variable anisotropic Hardy space defined via the non-tangential grand maximal function. In this paper, the author obtains the boundedness of anisotropic convolutional ��-type Calderón-Zygmund operators from Hp(·)A (ℝn) to Lp(·) (ℝn) or from Hp(·)A (ℝn) to itself. In addition, the author also obtains the duality between Hp(·)A (ℝn) and the anisotropic Campanato spaces with variable exponents.

RIGIDITY THEOREMS IN THE HYPERBOLIC SPACE

  • De Lima, Henrique Fernandes
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.1
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    • pp.97-103
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    • 2013
  • As a suitable application of the well known generalized maximum principle of Omori-Yau, we obtain rigidity results concerning to a complete hypersurface immersed with bounded mean curvature in the $(n+1)$-dimensional hyperbolic space $\mathbb{H}^{n+1}$. In our approach, we explore the existence of a natural duality between $\mathbb{H}^{n+1}$ and the half $\mathcal{H}^{n+1}$ of the de Sitter space $\mathbb{S}_1^{n+1}$, which models the so-called steady state space.

ON THE DUALITY OF THE SPACE X AND THE ALGEBRA $C_p$(X)

  • Park, Sung-Ki
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.4
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    • pp.717-722
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    • 1999
  • The set of continuous maps of a space X to real usual space R equipped with the toplogy of pointwise convergence will be denoted by $C_p$(X). In this paper, we prove that; $C_p$(X) is hereditarily separable and hereditary Lindelof if and only if $X^n$ is hereditarily separable and hereditary Lindelof.

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