• Title/Summary/Keyword: Convergence problem

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WEAK AND STRONG CONVERGENCE THEOREMS FOR A SYSTEM OF MIXED EQUILIBRIUM PROBLEMS AND A NONEXPANSIVE MAPPING IN HILBERT SPACES

  • Plubtieng, Somyot;Sombut, Kamonrat
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.2
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    • pp.375-388
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    • 2013
  • In this paper, we introduce an iterative sequence for finding solution of a system of mixed equilibrium problems and the set of fixed points of a nonexpansive mapping in Hilbert spaces. Then, the weak and strong convergence theorems are proved under some parameters controlling conditions. Moreover, we apply our result to fixed point problems, system of equilibrium problems, general system of variational inequalities, mixed equilibrium problem, equilibrium problem and variational inequality.

WEAK CONVERGENCE TO COMMON FIXED POINTS OF COUNTABLE NONEXPANSIVE MAPPINGS AND ITS APPLICATIONS

  • Kimura, Yasunori;Takahashi, Wataru
    • Journal of the Korean Mathematical Society
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    • v.38 no.6
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    • pp.1275-1284
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    • 2001
  • In this paper, we introduce an iteration generated by countable nonexpansive mappings and prove a weak convergence theorem which is connected with the feasibility problem. This result is used to solve the problem of finding a solution of the countable convex inequality system and the problem of finding a common fixed point for a commuting countable family of nonexpansive mappings.

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POSTPROCESSING FOR THE RAVIART-THOMAS MIXED FINITE ELEMENT APPROXIMATION OF THE EIGENVALUE PROBLEM

  • Kim, Kwang-Yeon
    • Korean Journal of Mathematics
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    • v.26 no.3
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    • pp.467-481
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    • 2018
  • In this paper we present a postprocessing scheme for the Raviart-Thomas mixed finite element approximation of the second order elliptic eigenvalue problem. This scheme is carried out by solving a primal source problem on a higher order space, and thereby can improve the convergence rate of the eigenfunction and eigenvalue approximations. It is also used to compute a posteriori error estimates which are asymptotically exact for the $L^2$ errors of the eigenfunctions. Some numerical results are provided to confirm the theoretical results.

NUMERICAL SOLUTION OF A GENERAL CAUCHY PROBLEM

  • El-Namoury, A.R.M.
    • Kyungpook Mathematical Journal
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    • v.28 no.2
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    • pp.177-183
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    • 1988
  • In this work, two numerical schemes arc proposed for solving a general form of Cauchy problem. Here, the problem, to be defined, consists of a system of Volterra integro-differential equations. Picard's and Seiddl'a methods of successive approximations are ued to obtain the approximate solution. The convergence of these approximations is established and the rate of convergence is estimated in every case.

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CONVERGENCE OF REGULARIZED SEMIGROUPS

  • Lee, Young S.
    • Korean Journal of Mathematics
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    • v.8 no.2
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    • pp.139-146
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    • 2000
  • In this paper, we discuss convergence theorem for contraction C-regularized semigroups. We establish the convergence of the sequence of generators of contraction regularized semigroups in some sense implies the convergence of the sequence of the corresponding contraction regularized semigroups. Under the assumption that R(C) is dense, we show the convergence of generators is implied by the convergence of C-resolvents of generators.

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Development of Static-explicit rigid-plastic finite Element Method and investigate the effect of punch stroke and the strain increment in Osakada method (정적-외연적 강소성 유한요소법의 개발 및 펀치 행정구간에 따른 영향과 Osakada 방법의 초기 변형율 증분에 따른 영향분석)

  • 정동원;이승훈
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.1545-1548
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    • 2003
  • In rigid-plastic finite element method, there is a heavy computation time and convergence problem. In this study. static-explicit rigid-plastic finite element method will be introduced. This method is the way that restrict the convergence interval. In result, convergence problem and computation time due to large non-linearity in the existing numerical analysis method were no longer a critical problem. Also, we investigated the effect of punch stroke and the strain increment this method. It is expected that various results from the numerical analysis will give very useful information for the design of tools in sheet metal forming process.

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Development of 2-Dimensional Static-explicit Rigid-plastic Finite Element Method and Investigation of the Effect of Punch Stroke (2차원 정적-외연적 강소성 유한요소법의 개발 및 펀치 행정구간에 따른 영향분석)

  • Jung, Dong-Won;Lee, Seung-Hun
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.3 no.3
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    • pp.39-45
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    • 2004
  • In rigid-plastic finite element method, there is a heavy computation time and convergence problem. In this study, static-explicit rigid-plastic finite element method will be introduced. This method is the way that restrict the convergence interval. In result, convergence problem and computation time due to large non-linearity in the existing numerical analysis method were no longer a critical problem. It is expected that various results from the numerical analysis will give very useful information for the design of tools in sheet metal forming process.

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The Development of Static-explicit Rigid-plastic Finite Element Method and Application to 2-dimension Sectional Analysis (2차원 단면해석을 위한 정적-외연적 강소성 유한요소법의 개발 및 적용)

  • Jung, Dong-Won;Lee, Seung-Hun
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.2 no.2
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    • pp.91-97
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    • 2003
  • In rigid-plastic finite element method, there is a heavy computation time and convergence problem. In this study, revised rigid-plastic finite element method Will be introduced. This method is the way that restrict the convergence interval. In result, convergence problem and computation time due to large non-linearity in the existing numerical analysis method were no longer a critical problem. It is expected that various results from the numerical analysis will give very useful information for the design of tools in sheet metal forming process.

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Prompt Tuning for Facial Action Unit Detection in the Wild

  • Vu Ngoc Tu;Huynh Van Thong;Aera Kim;Soo-Hyung Kim
    • Proceedings of the Korea Information Processing Society Conference
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    • 2023.05a
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    • pp.732-734
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    • 2023
  • Facial Action Units Detection (FAUs) problem focuses on identifying various detail units expressing on the human face, as defined by the Facial Action Coding System, which constitutes a fine-grained classification problem. This is a challenging task in computer vision. In this study, we propose a Prompt Tuning approach to address this problem, involving a 2-step training process. Our method demonstrates its effectiveness on the Affective in the Wild dataset, surpassing other existing methods in terms of both accuracy and efficiency.

A Study on the Moderating Effects of Problem-Solving Ability on the Effect of Consultant Selection Criteria on Consulting Service Repurchase Intention (컨설턴트 선정기준이 컨설팅서비스 재구매 의도에 미치는 영향에 있어서 문제해결능력의 조절효과에 관한 연구)

  • Lee, Bong-Cheol;Na, Do-Sung
    • Journal of the Korea Convergence Society
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    • v.9 no.4
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    • pp.179-188
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    • 2018
  • The aim of this study was to test the effect of consultant's problem-solving ability on consulting services. A questionnaire was conducted for the staff of companies that were consulted, the research models and hypotheses were tested by structural equation. As a result of this study, the moderating effect of the consultant 's problem-solving ability and the fit of the research model were confirmed. In this study, defining the problem solving ability of the consultant as an major variable was a new attempt on the research of the consultant's competence. We expect that this study will promote various research on consultant's problem-solving ability and encourage consultants to re-recognize their problem-solving ability. We will conduct research to develop a a tool for measuring the problem-solving ability of consultants recognized as the limitation of this study.