• 제목/요약/키워드: duality.

검색결과 528건 처리시간 0.026초

STRONG CONVERGENCE THEOREMS BY VISCOSITY APPROXIMATION METHODS FOR ACCRETIVE MAPPINGS AND NONEXPANSIVE MAPPINGS

  • Chang, Shih-Sen;Lee, H.W. Joseph;Chan, Chi Kin
    • Journal of applied mathematics & informatics
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    • 제27권1_2호
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    • pp.59-68
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    • 2009
  • In this paper we present an iterative scheme for finding a common element of the set of zero points of accretive mappings and the set of fixed points of nonexpansive mappings in Banach spaces. By using viscosity approximation methods and under suitable conditions, some strong convergence theorems for approximating to this common elements are proved. The results presented in the paper improve and extend the corresponding results of Kim and Xu [Nonlinear Anal. TMA 61 (2005), 51-60], Xu [J. Math. Anal. Appl., 314 (2006), 631-643] and some others.

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ON THE STRONG CONVERGENCE THEOREMS FOR ASYMPTOTICALLY NONEXPANSIVE SEMIGROUPS IN BANACH SPACES

  • Chang, Shih-Sen;Zhao, Liang Cai;Wu, Ding Ping
    • Journal of applied mathematics & informatics
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    • 제27권1_2호
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    • pp.13-23
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    • 2009
  • Some strong convergence theorems of explicit iteration scheme for asymptotically nonexpansive semi-groups in Banach spaces are established. The results presented in this paper extend and improve some recent results in [T. Suzuki. On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces, Proc. Amer. Math. Soc. 131(2002)2133-2136; H. K. Xu. A strong convergence theorem for contraction semigroups in Banach spaces, Bull. Aust. Math. Soc. 72(2005)371-379; N. Shioji and W. Takahashi. Strong convergence theorems for continuous semigroups in Banach spaces, Math. Japonica. 1(1999)57-66; T. Shimizu and W. Takahashi. Strong convergence to common fixed points of families of nonexpansive mappings, J. Math. Anal. Appl. 211(1997)71-83; N. Shioji and W. Takahashi. Strong convergence theorems for asymptotically nonexpansive mappings in Hilbert spaces, Nonlinear Anal. TMA, 34(1998)87-99; H. K. Xu. Approximations to fixed points of contraction semigroups in Hilbert space, Numer. Funct. Anal. Optim. 19(1998), 157-163.]

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SECOND ORDER NONSMOOTH MULTIOBJECTIVE FRACTIONAL PROGRAMMING PROBLEM INVOLVING SUPPORT FUNCTIONS

  • Kharbanda, Pallavi;Agarwal, Divya;Sinha, Deepa
    • Journal of applied mathematics & informatics
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    • 제31권5_6호
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    • pp.835-852
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    • 2013
  • In this paper, we have considered a class of constrained non-smooth multiobjective fractional programming problem involving support functions under generalized convexity. Also, second order Mond Weir type dual and Schaible type dual are discussed and various weak, strong and strict converse duality results are derived under generalized class of second order (F, ${\alpha}$, ${\rho}$, $d$)-V-type I functions. Also, we have illustrated through non-trivial examples that class of second order (F, ${\alpha}$, ${\rho}$, $d$)-V-type I functions extends the definitions of generalized convexity appeared in the literature.

덕트 테이프 패션에 표현된 다원주의 (Pluralism in Duct Tape Fashion)

  • 이봉덕;양숙희
    • 한국의류산업학회지
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    • 제2권4호
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    • pp.317-324
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    • 2000
  • Pluralistic and diverse values exist in the realm of post modernism society. In this context, one particular outlook does not have the same meaning across the whole society. The creation and sharing of a new meaning do not necessarily need the consent of every member of the society. There have been a few attempts to delve into the relationship between sociocultural phenomenon and fashion trends in the pluralistic cultures. However, there has been little research on the theoretical framework in order to analyze a pluralistic phenomenon itself. The purpose of this study is to provide the theoretical paradigms to analyze and interpret various pluralistic phenomena in postmodernism fashion. Theories developed by Gilles Deleuze have been utilized to analyze and interpret the duct tape fashion which is in vogue among the young generation in the USA. The analysis based on the paradigm of Gilles indicates that the duct tape fashion shows pluralistic features of as in the other postmodern cultural activities.

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누에분말을 첨가한 누에설기의 일반성분 및 품질 특성 (Effects of Adding Silkworm Powder on the Quality of Seolgiddeok)

  • 임영희;김미원;김애정;김명희
    • 한국식품조리과학회지
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    • 제18권6호
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    • pp.562-566
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    • 2002
  • Seolgiddeok a representative rice cake was prepared by the addition of silkworm powder(SP) at various concentrations, and their physical characteristics were monitored by sensory evaluation, chromaticity, and rheometric measurement. In the proximate composition of SP cake, the contents of crude protein and ash were increased as the ratio of SP increased, but the moisture content was decreased. In the sensory evaluation, 3%-SP cake showed the highest preference, old showed the highest values in color, flavor, taste. texture, and overall duality. Lightness(L) value of SP cake was decreased as the ratio of SP increased. In the rheometer test, 15%-SP cake showed the highest value in the hardness, but 3%-SP cake showed the highest value in cohesiveness, gumminess and brittleness.

NUMERICAL SIMULATION OF PLASTIC FLOW BY FINITE ELEMENT LIMIT ANALYSIS

  • Hoon-Huh;Yang, Wei-H.
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1992년도 춘계학술대회 논문집 92
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    • pp.159-176
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    • 1992
  • Limit analysis has been rendered versatile in many problems such as structural problems and metal forming problems. In metal forming analysis, a slip-line method and an upper bound method approach to limit solutions is considered as the most challenging areas. In the present work, a general algorithm for limit solutions of plastic flow is developed with the use of finite element limit analysis. The algorithm deals with a generalized Holder inequality, a duality theorem, and a combined smoothing and successive approximation in addition to a general procedure for finite element analysis. The algorithm is robust such that from any initial trial solution, the first iteration falls into a convex set which contains the exact solution(s) of the problem. The idea of the algorithm for limit solution is extended from rigid/perfectly-plastic materials to work-hardening materials by the nature of the limit formulation, which is also robust with numerically stable convergence and highly efficient computing time.

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부순모래의 입자특성이 콘크리트의 품질에 미치는 영향 (Influence of Particle Properties of Crushed Sand on the Qualities of Concrete)

  • 유승엽;손유신;이승훈;이건철;윤기원;한천구
    • 한국건축시공학회:학술대회논문집
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    • 한국건축시공학회 2005년도 춘계 학술기술논문발표대회 논문집
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    • pp.89-92
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    • 2005
  • This study investigates influence of particle properties of crushed sand on the duality of concrete. The test shows that an increase of fineness modulus(FM) resulted in high slump and air contents, while compressive strength decreased due to decreased adhesion with reduction of surface area. As grain shape become rounder, the slump of concrete increased, due to reduction of internal friction, and increased air contents. The reduction of adhesion by abrasion of surface declined compressive strength during the process of manufacturing crushed sand. Increase of powder contents decreased slump and it also decreased air contents due to the effect of filling air void. In addition. using powder contents increased compressive strength, but could not find any difference of bleeding and tensile strength with particle properties.

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국내 건설공사 현장의 하도급관리 개선방안 - 하도급자의 품질업무 전문화를 통하여 (A Improvement of Sub-contractor Management in Domestic Building Construction Sites - Through Specialized Quality Work of Sub-contractors)

  • 손현덕;이재섭
    • 한국건설관리학회:학술대회논문집
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    • 한국건설관리학회 2002년도 학술대회지
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    • pp.292-295
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    • 2002
  • 하도급관리는 하도급업체를 전문화, 계열화하여 성공적인 건설프로젝트를 수행하는데 있다. 품질관리에서 하도급관리는 하도급업체의 ISO9000시리즈의 품질시스템의 도입에서 그치는 것이 아니라 활성화가 이루어질 수 있도록 하여 효율화를 기하고 체질 개선을 하는 것이 필요하다. 따라서 본 연구에서는 하도급자가 ISO9000시리즈의 풀질시스템을 유지하는데 저해 요인을 TQM(Total Quality Management)의 개념을 응용한 설문조사로 분석하여, 개선을 위하여 하도급관리자인 원사업자의 역할을 모색해 보았다.

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선형계획을 위한 내부점법의 원문제-쌍대문제 로그장벽법 (A primal-dual log barrier algorithm of interior point methods for linear programming)

  • 정호원
    • 경영과학
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    • 제11권3호
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    • pp.1-11
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    • 1994
  • Recent advances in linear programming solution methodology have focused on interior point methods. This powerful new class of methods achieves significant reductions in computer time for large linear programs and solves problems significantly larger than previously possible. These methods can be examined from points of Fiacco and McCormick's barrier method, Lagrangian duality, Newton's method, and others. This study presents a primal-dual log barrier algorithm of interior point methods for linear programming. The primal-dual log barrier method is currently the most efficient and successful variant of interior point methods. This paper also addresses a Cholesky factorization method of symmetric positive definite matrices arising in interior point methods. A special structure of the matrices, called supernode, is exploited to use computational techniques such as direct addressing and loop-unrolling. Two dense matrix handling techniques are also presented to handle dense columns of the original matrix A. The two techniques may minimize storage requirement for factor matrix L and a smaller number of arithmetic operations in the matrix L computation.

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드 모르간 틀 (De Morgan Frames)

  • 이승온
    • 한국수학사학회지
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    • 제17권2호
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    • pp.73-84
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    • 2004
  • 스톤은 스톤 쌍대성에 의하여 완비 불 대수는 극단적으로 비연결인 콤팩트 하우스도르프 공간에 대응되어 불 대수의 범주 Bool에서 단사 대상은 완비 불 대수인 사실에 의하여 0차원 콤팩트 공간의 범주 ZComp의 사영 대상은 극단적으로 비연결인 콤팩트 공간임을 증명하였고, 완전 정규 공간 X가 극단적인 비연결 공간이기 위한 필요충분조건은 X에서 실직선로의 연속함수의 순서집합 C(X, )이 데데킨트 완비인 사실[6]이 드모르간 틀에서도 성립함을 증명하였다[2]. 이 논문에서는 드 모르간의 역사를 조사하고, 드모르간 틀을 도입하여 극단적인 비연결 공간과의 관계와 드 모르간 틀과 불 대수 사이의 관계를 연구한다.

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