• 제목/요약/키워드: self-mapping

검색결과 221건 처리시간 0.023초

STRONG CONVERGENCE OF MODIFIED ISHIKAWA ITERATES FOR ASYMPTOTICALLY NONEXPANSIVE MAPS WITH NEW CONTROL CONDITIONS

  • Eldred, A. Anthony;Mary, P. Julia
    • 대한수학회논문집
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    • 제33권4호
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    • pp.1271-1284
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    • 2018
  • In this paper, we establish strong convergence of the modified Ishikawa iterates of an asymptotically non expansive self-mapping of a nonempty closed bounded and convex subset of a uniformly convex Banach space under a variety of new control conditions.

COMMON FIXED POINT THEOREMS FOR GENERALIZED 𝜓∫𝜑-WEAKLY CONTRACTIVE MAPPINGS IN G-METRIC SPACES

  • Kim, Jong Kyu;Kumar, Manoj;Bhardwaj, Preeti;Imdad, Mohammad
    • Nonlinear Functional Analysis and Applications
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    • 제26권3호
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    • pp.565-580
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    • 2021
  • In this paper, first of all we prove a fixed point theorem for 𝜓∫𝜑-weakly contractive mapping. Next, we prove some common fixed point theorems for a pair of weakly compatible self maps along with E.A. property and (CLR) property. An example is also given to support our results.

Global measures of distributive mixing and their behavior in chaotic flows

  • Tucker, Charles L.;Peters, Gerrit W.M.
    • Korea-Australia Rheology Journal
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    • 제15권4호
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    • pp.197-208
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    • 2003
  • Two measures of distributive mixing are examined: the standard deviation $\sigma$ and the maximum error E, among average concentrations of finite-sized samples. Curves of E versus sample size L are easily interpreted in terms of the size and intensity of the worst flaw in the mixture. E(L) is sensitive to the size of this flaw, regardless of the overall size of the mixture. The measures are used to study distributive mixing for time-periodic flows in a rectangular cavity, using the mapping method. Globally chaotic flows display a well-defined asymptotic behavior: E and $\sigma$ decrease exponentially with time, and the curves of E(L) and $\sigma$ (L) achieve a self-similar shape. This behavior is independent of the initial configuration of the fluids. Flows with large islands do not show self-similarity, and the final mixing result is strongly dependent on the initial fluid configuration.

COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS BY A MODIFIED FASTER ITERATION SCHEME

  • Khan, Safeer Hussain;Kim, Jong-Kyu
    • 대한수학회보
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    • 제47권5호
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    • pp.973-985
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    • 2010
  • We introduce an iteration scheme for approximating common fixed points of two mappings. On one hand, it extends a scheme due to Agarwal et al. [2] to the case of two mappings while on the other hand, it is faster than both the Ishikawa type scheme and the one studied by Yao and Chen [18] for the purpose in some sense. Using this scheme, we prove some weak and strong convergence results for approximating common fixed points of two nonexpansive self mappings. We also outline the proofs of these results to the case of nonexpansive nonself mappings.

Comparisons of Some Reinforcement Self-Learning Controllers by Cell-to-Cell Mapping

  • Pong, Chi-Fong;Chen, Yung-Yaw;Kuo, Te-Son
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1993년도 Fifth International Fuzzy Systems Association World Congress 93
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    • pp.1029-1032
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    • 1993
  • The construction of the rulebase of a fuzzy controller is usually difficult because experts' knowledge is often hard to derive. To remedy such a problem, a number of self-learning schemes for rulebase formulations were proposed. One of the popular approaches is the reinforcement learning. Many successful examples employing such an idea were proposed and claimed to be with good results in the literature. The purpose of this paper is to discuss and make comparisons between some of the related work in order to provide a better picture regarding their performances. A numerical algorithm for the analysis of nonlinear as well as fuzzy dynamic systems, the Cell-to-Cell Mapping, is used. The analytical results reveals the true behavior of the learning schemes.

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개념지도 교육방법을 이용한 진전된 초보자의 간호역량강화: 포커스그룹 (Strengthening of Advanced Beginner's Nursing Competence through Concept Mapping: Focus Groups)

  • 장애리;장금성
    • 한국직업건강간호학회지
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    • 제24권1호
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    • pp.1-10
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    • 2015
  • Purpose: This study was to evaluate the strengthening process of advanced beginner's nursing competence through the concept mapping methods. Methods: This study was conducted with focus group study for 1 month from November to December 2012 (n=5). Data were analyzed through open coding, axial coding and selection coding stage. Results: Advanced beginner to represent the experience of nursing empowerment and the three categories of the nine concepts were derived. The first category is 'able to see the entire search.' This concept is to start a search query, the search process of thinking, behavior change is expected. The second category is 'behavior change through the acquisition of knowledge.', and this concept is the embodiment of knowledge, confidence rising, and action changing. The third category is 'nursing empowerment', the aesthetic, ethical, and personal knowledge acquisition, as well as self-growth. Conclusion: Advanced beginner saw the full flow through the concept mapping and obtained knowledge, and changed behavior. Thus, the concept mapping is effective to strengthen the nursing competence.

비유를 사용한 수업에서 학생들의 인지적.정의적 특성과 대응 이해 및 대응 오류 유형과의 관계 (The Relationships among Students' Mapping Understanding, Mapping Errors and Cognitive/Affective Variables in Learning with Analogy)

  • 김경순;황선영;노태희
    • 대한화학회지
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    • 제54권1호
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    • pp.150-157
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    • 2010
  • 이 연구에서는 비유를 사용한 '농도와 반응속도'에 대한 학습에서 학생들의 인지적 정의적 변인들의 상 하위 수준에 따른 대응 관계 이해도와 대응 오류 유형의 차이를 비교하고, 이 변인들과 대응 관계 이해도와의 관계를 조사하였다. 사전검사로 논리적 사고력, 시각적 심상화 능력, 비유 추론 능력, 자아 효능감, 인지욕구 검사를 실시하였다. 비유를 사용한 수업을 진행한 후, 친숙도 검사와 대응 관계 이해도 검사를 실시하였다. 연구 결과, 시각적 심상화 능력과 친숙도를 제외한 모든 인지적 정의적 변인의 수준이 상위인 학생들의 대응 관계 이해도 점수가 하위 학생들보다 통계적으로 유의미하게 높았다. 또한, 과잉 대응, 대응 불이행, 불가능한 대응, 인위적 대응, 부적절한 대응, 무분별한 대응, 비유물 속성 보유 등의 대응 오류 유형의 빈도가 학생들의 인지적 정의적 변인의 수준에 따라 다른 양상을 보였다. 학생들의 대응 관계 이해도 점수는 모든 인지적 정의적 변인들과 정적인 상관이 있었다. 다중 회귀 분석 결과, 과학 성취도, 논리적 사고력, 친숙도가 대응 관계 이해도에 대한 유의미한 예언 변인으로 나타났다. 이에 대한 교육적 함의를 논의하였다.

Evaluation of stress distribution with wind speed in a greenhouse structure

  • Hur, Deog-jae;Noh, Jung-Hun;Lee, Hyun ju;Song, Hyoung woon
    • Wind and Structures
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    • 제27권5호
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    • pp.347-356
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    • 2018
  • In this paper, stress distribution for a structurally stable greenhouse is considered in the present paper with subsequent investigation into the detailed stress distribution contour with the variation of self-weight and wind pressure level designation method under wind velocity of less than 30 m/sec. For reliable analysis, wind pressure coefficients of a single greenhouse unit were modeled and compared with experiment with correlation coefficient greater than 0.99. Wind load level was designated twofold: direct mapping of fluid dynamic analysis and conversion of modeled results into wind pressure coefficients ($C_P$). Finally, design criteria of EN1991-1-4 and NEN3859 were applied in terms of their wind pressure coefficients for comparison. $C_P$ of CFD result was low in the most of the modeled area but was high only in the first roof wind facing and the last lee facing areas. Besides, structural analysis results were similar in terms of stress distribution as per EN and direct mapping while NEN revealed higher level of stress for the last roof area. The maximum stress levels are arranged in decreasing order of mapping, EN, and NEN, generating 8% error observed between the EN and mapping results under 30 m/sec of wind velocity. On the other hand, effect of dead weight on the stress distribution was investigated via variation of high stress position with wind velocity, confirming shift of such position from the center to the forward head wind direction. The sensitivity of stress for wind velocity was less than 0.8% and negligible at wind velocity greater than 20 m/sec, thus eliminating self-weight effect.

Structural health monitoring response reconstruction based on UAGAN under structural condition variations with few-shot learning

  • Jun, Li;Zhengyan, He;Gao, Fan
    • Smart Structures and Systems
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    • 제30권6호
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    • pp.687-701
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    • 2022
  • Inevitable response loss under complex operational conditions significantly affects the integrity and quality of measured data, leading the structural health monitoring (SHM) ineffective. To remedy the impact of data loss, a common way is to transfer the recorded response of available measure point to where the data loss occurred by establishing the response mapping from measured data. However, the current research has yet addressed the structural condition changes afterward and response mapping learning from a small sample. So, this paper proposes a novel data driven structural response reconstruction method based on a sophisticated designed generating adversarial network (UAGAN). Advanced deep learning techniques including U-shaped dense blocks, self-attention and a customized loss function are specialized and embedded in UAGAN to improve the universal and representative features extraction and generalized responses mapping establishment. In numerical validation, UAGAN efficiently and accurately captures the distinguished features of structural response from only 40 training samples of the intact structure. Besides, the established response mapping is universal, which effectively reconstructs responses of the structure suffered up to 10% random stiffness reduction or structural damage. In the experimental validation, UAGAN is trained with ambient response and applied to reconstruct response measured under earthquake. The reconstruction losses of response in the time and frequency domains reached 16% and 17%, that is better than the previous research, demonstrating the leading performance of the sophisticated designed network. In addition, the identified modal parameters from reconstructed and the corresponding true responses are highly consistent indicates that the proposed UAGAN is very potential to be applied to practical civil engineering.

On-line Learnign control of Nonlinear Systems Usig Local Affine Mapping-based Networks

  • Chio, Jin-Young;Kim, Dong-Sung
    • 한국지능시스템학회논문지
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    • 제5권3호
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    • pp.3-10
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    • 1995
  • This paper proposedan on-line learning controller which can be applied to nonlinear systems. The proposed on-line learning controller is based on the universal approximation by the local affine mapping-based neural networks. It has self-organizing and learning capability to adapt itself to the new environment arising from the variation of operating point of the nonlinear system. Since the learning controller retains the knowledge of trained dynamics, it can promptly adapt itself to situations similar to the previously experienced one. This prompt adaptability of the proposed control system is illustrated through simulations.

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