• 제목/요약/키워드: self-example

검색결과 528건 처리시간 0.03초

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.

REMARKS ON THE EXISTENCE OF AN INERTIAL MANIFOLD

  • Kwak, Minkyu;Sun, Xiuxiu
    • 대한수학회지
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    • 제58권5호
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    • pp.1261-1277
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    • 2021
  • An inertial manifold is often constructed as a graph of a function from low Fourier modes to high ones and one used to consider backward bounded (in time) solutions for that purpose. We here show that the proof of the uniqueness of such solutions is crucial in the existence theory of inertial manifolds. Avoiding contraction principle, we mainly apply the Arzela-Ascoli theorem and Laplace transform to prove their existence and uniqueness respectively. A non-self adjoint example is included, which is related to a differential system arising after Kwak transform for Navier-Stokes equations.

FIXED POINT THEOREMS IN CONTROLLED RECTANGULAR METRIC SPACES

  • Mohamed Rossafi;Abdelkarim Kari
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제30권2호
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    • pp.169-190
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    • 2023
  • In this paper, we introduce an extension of rectangular metric spaces called controlled rectangular metric spaces, by changing the rectangular inequality in the definition of a metric space. We also establish some fixed point theorems for self-mappings defined on such spaces. Our main results extends and improves many results existing in the literature. Moreover, an illustrative example is presented to support the obtained results.

형상기억합금 상호작용 에너지의 유한요소 계산 (Finite element calculation of the interaction energy of shape memory alloy)

  • 양승용
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 추계학술대회
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    • pp.79-84
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    • 2004
  • Strain energy due to the mechanical interaction between self-accommodation groups of martensitic phase transformation is called interaction energy. Evaluation of the interaction energy should be accurate since the energy appears in constitutive models for predicting the mechanical behavior of shape memory alloy. In this paper, the interaction energy is evaluated in terms of theoretical formulation and explicit finite element calculation. A simple example with two habit plane variants was considered. It was shown that the theoretical formulation assuming elastic interaction between the self-accommodation group and matrix gives larger interaction energy than explicit finite element calculation in which transformation softening is accounted for.

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빙축열 시스템의 지능형 냉방부하예측에 관한 연구 (The Study on Intelligent Cooling Load Forecast of Ice-storage System)

  • 고택범
    • 전기학회논문지
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    • 제57권11호
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    • pp.2061-2065
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    • 2008
  • In the conventional operation of ice-storage system based on operator's experience and judgement, the failure in forecast of cooling load occurs frequently due to operator's misjudgement and unskilled operation. This study presents the method of constructing self-organizing fuzzy models which forecast tomorrow temperature, humidity and cooling load periodically for economic and efficient operation of ice-storage system. To check the effectiveness and feasibility of the suggested algorithm, the actual example for forecasting temperature, humidity and cooling load of ice- storage system in KEPCO training institute, Sokcho, is examined. The computer simulation results show that the accuracy of temperature, humidity, cooling load forecast of the suggested algorithm is higher than that of the conventional methods.

Benefits of Using Imperfect Information in Controlling an M/M/1 Queueing System

  • Nam, Ick-Hyun
    • Management Science and Financial Engineering
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    • 제1권1호
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    • pp.1-19
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    • 1995
  • In this paper, we analyze an M / M / 1 queueing system where there are incentive conflicts among customers. Self-interested customers' decisions whether to join the system or not may not necessarily induce a socially optimal congestion level. As a way to alleviate the over-congestion, toll imposition was used in Naor's paper [3]. Instead of using a toll mechanism, we study the usefulness of imperfect information on system state (queue size, for example) as a way to reduce the over-congestion by self-interested customers. The main conclusion of this paper is that by purposefully giving fuzzy or imperfect information on the current queue size we can improve the congestion in the system. This result might look contradictory to rough intuition since perfect information should give better performance than imperfect information. We show how this idea is verified. In deriving this result, we use the concept of Nash equilibrium (pure and mixed strategy) as introduced in game theory. In some real situations, using imperfect information is easier to apply than imposing a toll, and thus the result of this paper has practical implications.

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Revesible Switching between Nematic Gel and Isotriopic Fluid Triggered by External Stimuli in Aqueous Self-Assembly of Supramolecular Nanocylinders

  • Ryu, Ja-Hyoung;Lee, Myong-Soo
    • 한국고분자학회:학술대회논문집
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    • 한국고분자학회 2006년도 IUPAC International Symposium on Advanced Polymers for Emerging Technologies
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    • pp.308-308
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    • 2006
  • We have demonstrated that the cylindrical micelles self-assembled from coil-rod-coil molecules can be interconnected by addition of a small amount of rod-coil-rod molecule as a bridging agent. Subsequently, these dynamic interconnections lead to stiff bundles composed of cylindrical micelles that are responsible for the formation of a reversible nematic gel. The results described here represent a significant example that dynamic bridging of supramolecular cylinders in aqueous solution can provide a useful strategy to construct one-dimensional nematic structure with three dimensional elastic properties.

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Folding of Coordination Polymers into Double-Stranded Helical Organization

  • Kim, Ho-Joong;Lee, Eun-Ji;Lee, Myong-Soo
    • 한국고분자학회:학술대회논문집
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    • 한국고분자학회 2006년도 IUPAC International Symposium on Advanced Polymers for Emerging Technologies
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    • pp.248-248
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    • 2006
  • The notable feature of the Cu(II) coordination polymer investigated here is its ability to self-assemble into a double-stranded helical structure with regular grooves along the helical axis, through the combination of metal-chloride dimeric interactions and repulsive interactions, as an organizing force. It is also remarkable that the double-stranded helices self-organize into a 2-D columnar structure in both the bulk state and aqueous solution. These results represent a unique example that weak metal-ligand bridging interactions can provide a useful strategy to construct stable double-stranded helical nanotubes.

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CPS를 위한 모델 기반 자율 컴퓨팅 프레임워크 (Model-based Autonomic Computing Framework for Cyber-Physical Systems)

  • 강성주;전인걸;박정민;김원태
    • 대한임베디드공학회논문지
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    • 제7권5호
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    • pp.267-275
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    • 2012
  • In this paper, we present the model-based autonomic computing framework for a cyber-physical system which provides a self-management and a self-adaptation characteristics. A development process using this framework consists of two phases: a design phase in which a developer models faults, normal status constrains, and goals of the CPS, and an operational phase in which an autonomic computing engine operates monitor-analysis-plan-execute(MAPE) cycle for managed resources of the CPS. We design a hierachical architecture for autonomic computing engines and adopt the Model Reference Adaptive Control(MRAC) as a basic feedback loop model to separate goals and resource management. According to the GroundVehicle example, we demonstrate the effectiveness of the framework.

하이브리드 FRP보강근 콘크리트의 손상 자가진단 (Self- Diagnosis of Damage in Hybrid FRP Reinforced Concrete)

  • 박석균;김대훈
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2005년도 추계 학술발표회 제17권2호
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    • pp.233-237
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    • 2005
  • For giving self-diagnosing capability, a method based on monitoring the changes in the electrical resistance of hybrid FRP reinforced concrete has been tested. Then after examining change in the value of electrical resistance of carbon fiber in CFRP, CFGFRP, CFAFRP and e.t.c., before and after the occurrence of cracks and fracture in hybrid FRP reinforced concrete at each flexural weight-stage, the correlations of each factors were analyzed. As the results, it is clarified that when the carbon fiber tows fracture, the electrical resistance of it increase largely, and afterwards hybrid FRP composites can be resist the load due to the presence of the reinforced fiber, for example, glass fiber or aramid fiber tows.

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