• 제목/요약/키워드: nonlinear contraction

검색결과 114건 처리시간 0.023초

전기자극이 가해진 골격근의 피로항을 갖는 근육 모델의 구조 (A structure of musculotendon model with a fatigue profile of electrically stimulated skeletal muscle)

  • 임종광;남문현
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 하계학술대회 논문집 B
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    • pp.611-613
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    • 1998
  • A structure of musculotendon model with a fatigue profile is investigated. The Hill-type musculotendon model can predicts the decline in muscle force for a given fatigue profile. It consists of nonlinear activation and contraction dynamics based on the physiological concepts. It is normalized for generalization to deal with the various muscles. Muscle force generated by continuous tetanic electrical monophasic pulsewidth modulation stimulation is decreased in time. A fatigue profile is expressed by a function of intramuscular acidification and applied to the relationship between muscle force and shortening velocity in contraction dynamics. The results of computer simulation are well matched with data in a literature which are isometrically performed for knee extension muscles. Also change in optimal fiber length has an effect only on muscle time, constant not on the steady-state tetanic force.

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HYBRID INERTIAL CONTRACTION PROJECTION METHODS EXTENDED TO VARIATIONAL INEQUALITY PROBLEMS

  • Truong, N.D.;Kim, J.K.;Anh, T.H.H.
    • Nonlinear Functional Analysis and Applications
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    • 제27권1호
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    • pp.203-221
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    • 2022
  • In this paper, we introduce new hybrid inertial contraction projection algorithms for solving variational inequality problems over the intersection of the fixed point sets of demicontractive mappings in a real Hilbert space. The proposed algorithms are based on the hybrid steepest-descent method for variational inequality problems and the inertial techniques for finding fixed points of nonexpansive mappings. Strong convergence of the iterative algorithms is proved. Several fundamental experiments are provided to illustrate computational efficiency of the given algorithm and comparison with other known algorithms

INERTIAL PROXIMAL AND CONTRACTION METHODS FOR SOLVING MONOTONE VARIATIONAL INCLUSION AND FIXED POINT PROBLEMS

  • Jacob Ashiwere Abuchu;Godwin Chidi Ugwunnadi;Ojen Kumar Narain
    • Nonlinear Functional Analysis and Applications
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    • 제28권1호
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    • pp.175-203
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    • 2023
  • In this paper, we study an iterative algorithm that is based on inertial proximal and contraction methods embellished with relaxation technique, for finding common solution of monotone variational inclusion, and fixed point problems of pseudocontractive mapping in real Hilbert spaces. We establish a strong convergence result of the proposed iterative method based on prediction stepsize conditions, and under some standard assumptions on the algorithm parameters. Finally, some special cases of general problem are given as applications. Our results improve and generalized some well-known and related results in literature.

SOME FIXED POINT THEOREMS FOR RATIONAL (𝛼, 𝛽, Z)-CONTRACTION MAPPINGS UNDER SIMULATION FUNCTIONS AND CYCLIC (𝛼, 𝛽)-ADMISSIBILITY

  • Snehlata, Mishra;Anil Kumar, Dubey;Urmila, Mishra;Ho Geun, Hyun
    • Nonlinear Functional Analysis and Applications
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    • 제27권4호
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    • pp.757-771
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    • 2022
  • In this paper, we present some fixed point theorems for rational type contractive conditions in the setting of a complete metric space via a cyclic (𝛼, 𝛽)-admissible mapping imbedded in simulation function. Our results extend and generalize some previous works from the existing literature. We also give some examples to illustrate the obtained results.

A COMMON FIXED POINT THEOREM IN AN M*-METRIC SPACE AND AN APPLICATION

  • Gharib, Gharib M.;Malkawi, Abed Al-Rahman M.;Rabaiah, Ayat M.;Shatanawi, Wasfi A.;Alsauodi, Maha S.
    • Nonlinear Functional Analysis and Applications
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    • 제27권2호
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    • pp.289-308
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    • 2022
  • In this paper, we introduce the concept of M*-metric spaces and how much the M*-metric and the b-metric spaces are related. Moreover, we introduce some ways of generating M*-metric spaces. Also, we investigate some types of convergence associated with M*-metric spaces. Some common fixed point for contraction and generalized contraction mappings in M*-metric spaces. Our work has been supported by many examples and an application.

MULTI-VALUED HICKS CONTRACTIONS IN 𝑏-MENGER SPACES

  • Youssef Achtoun;Mohammed Sefian Lamarti;Ismail Tahiri
    • Nonlinear Functional Analysis and Applications
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    • 제29권2호
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    • pp.477-485
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    • 2024
  • In this work, we will generalize the notion of multivalued (ν, 𝒞)-contraction mapping in 𝑏-Menger spaces and we shall give a new fixed point result of this type of mappings. As a consequence of our main result, we obtained the corresponding fixed point theorem in fuzzy 𝑏-metric spaces. Also, an example will be given to illustrate the main theorem in ordinary 𝑏-metric spaces.

최적 R파 검출 기반의 R피크 패턴과 RR간격을 통한 조기심실수축 분류 (Premature Ventricular Contraction Classification through R Peak Pattern and RR Interval based on Optimal R Wave Detection)

  • 조익성;권혁숭
    • 한국정보통신학회논문지
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    • 제22권2호
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    • pp.233-242
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    • 2018
  • 조기심실수축(Premature Ventricular Contraction) 분류를 위한 기존 연구들은 분류의 정확성을 높이기 위해 신경망, 퍼지 이론, Support Vector Machine 등과 같은 비선형 방법이 주로 사용되어 왔다. 이러한 대부분의 방법들은 데이터의 가공 및 연산이 복잡하다. 이러한 문제점을 극복하기 위해서 최적의 R파를 검출하고 이를 통해 R피크 기반의 특징점만을 정확하게 검출함으로써 최소한의 연산량으로 PVC를 분류할 수 있는 알고리즘이 필요하다. 따라서 본 연구에서는 전처리를 통해 잡음이 제거된 심전도 신호에서 최적 문턱치에 따른 R파를 검출하고, RR간격과 R피크 패턴을 추출한다. 이후 RR간격과 R피크 패턴에 따라 PVC를 분류하였다. 제안한 방법의 우수성을 입증하기 위해 PVC가 30개 이상 포함된 MIT-BIH 9개의 레코드를 대상으로 한 R파의 평균 검출율은 99.02%의 성능을 나타내었으며, PVC 부정맥은 각각 94.85%의 평균 분류율을 나타내었다.

THREE POINT BOUNDARY VALUE PROBLEMS FOR THIRD ORDER FUZZY DIFFERENTIAL EQUATIONS

  • Murty, M.S.N.;Kumar, G. Suresh
    • 충청수학회지
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    • 제19권1호
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    • pp.101-110
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    • 2006
  • In this paper, we develop existence and uniqueness criteria to certain class of three point boundary value problems associated with third order nonlinear fuzzy differential equations, with the help of Green's functions and contraction mapping principle.

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An Interacting Wave Profile of Three Trains of Gravity Waves on Finite Depth by Contraction Method

  • JANG TAEK-SOO
    • 한국해양공학회지
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    • 제20권1호
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    • pp.43-47
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    • 2006
  • Superposition of three wave trains on finite depth is investigated. This paper is focused on how to improve the linear superposition of three waves. This was realized by introducing the scheme. The idea of the scheme is based on a fixed point approach. Application of the scheme to the superposition makes it possible to obtain a wave profile of wave-wave interaction. With the help of FFT, it was possible to analyze high-order nonlinear frequencies for three interacting Stokes' waves on finite depth.

SOME COMMON FIXED POINT THEOREMS FOR GENERALIZED f-WEAKLY CONTRACTIVE MAPPINGS

  • Chandok, Sumit
    • Journal of applied mathematics & informatics
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    • 제29권1_2호
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    • pp.257-265
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    • 2011
  • In this paper, we first prove a common fixed point theorem for generalized nonlinear contraction mappings in complete metric spaces there by generalizing and extending some known results. Then we present this result in the context of ordered metric spaces by using monotone non-decreasing mapping.