• 제목/요약/키워드: B-contraction

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Generalized 𝜓-Geraghty-Zamfirescu Contraction Pairs in b-metric Spaces

  • Morales, Jose R.;Rojas, Edixon M.
    • Kyungpook Mathematical Journal
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    • 제61권2호
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    • pp.279-308
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    • 2021
  • The purpose of this paper is to introduce a class of contractive pairs of mappings satisfying a Zamfirescu-type inequality, but controlled with altering distance functions and with parameters satisfying the so-called Geraghty condition in the framework of b-metric spaces. For this class of mappings we prove the existence of points of coincidence, the convergence and stability of the Jungck, Jungck-Mann and Jungck-Ishikawa iterative processes and the existence and uniqueness of its common fixed points.

회양목의 생약학적 연구 (Pharmacognostical Studies on Bux Wood)

  • 이선주;김정희
    • 생약학회지
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    • 제2권1호
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    • pp.15-18
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    • 1971
  • The histological structures of Buxus koreana were studied by cross section and compared with those of Buxus koreana var. elongata, B. koreana var. insularis, B. microphylla subsp. sinica (Taiwan) and B. liukiuensis(Okinawa). Many different points showed that B. koreana var. insularis is similar to B. microphylla subsp. sinica while B. koreana to B. liukiuensis. The extracts of Buxus koreana by three solvents are as follows: ether ext. 3.34%, dilute alcohol ext. 16.98%, water ext. 11.67%. The total alkaloid of Buxus koreana is approximately 0.01%. The general pharmacological effects of dilute alcohol ext. of Buxus koreana were studied and the following conclusions were obtained. Contraction of excised uterus of rabbit was augmented by treatment of dilute alcohol ext. Motility of excised intestine of rabbit was stopped for a moment and stimulated at once by treatment of dilute alcohol ext.

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Fluidic 유량계의 기하학적 변수가 유동률에 미치는 영향 (Effects of geometric parameters of fluidic flow meter on flow rate)

  • 박경암;윤기영;유성연
    • 대한기계학회논문집B
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    • 제21권12호
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    • pp.1608-1614
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    • 1997
  • The fluidic flow meter detects the gas flow rate based on the principle of fluidic oscillation instead of the conventional displacement method. It has many merits: wide rangeability, no moving mechanical parts and calibration insensitive to physical properties of fluids. The width of nozzle, size of oscillation chamber, size of target, width of outlet are tested to obtain the effects of jet oscillation on the fluidic flow meter. As the width of nozzle is too wide compared with the size of target, jet oscillation is unstable. The oscillation frequency decreases as the distance between the nozzle and target increases and also as the distance between target and outlet contraction increases. Two different vortexes exist in the front and the rear regions of the target, and they affect the oscillation frequency. The outlet contraction is very important, because the feedback flow is generated by the blocking of the flow. As the width of outlet increases, the jet oscillation frequency decreases. The linearity of this tested flow meter is quite good.

실리콘 웨이퍼 상에 제작된 미소 유로에서의 유동특성 (Flow Characteristics in a Microchannel Fabricated on a Silicon Wafer)

  • 김형우;원찬식;정시영;허남건
    • 대한기계학회논문집B
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    • 제25권12호
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    • pp.1844-1852
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    • 2001
  • Recent developments in microfluidic devices based on microelectromechanical systems (MEMS) technique find many practical applications, which include electronic chip cooling devices, power MEMS devices, micro sensors, and bio-medical devices among others. For the design of such micro devices, flows characteristics inside a microchannel have to be clarified which exhibit somewhat different characteristics compared to conventional flows in a macrochannel. In the present study microchannels of various hydraulic diameters are fabricated on a silicon wafer to study the pressure drop characteristics. The effect of abrupt contraction and expansion is also studied. It is found from the results that the friction factor in a straight microchannel is about 15% higher than that in a conventional macrochannel, and the loss coefficients in abrupt expansion and contraction are about 10% higher than that obtained through conventional flow analysis.

혼합물의 응고문제에 대한 확장된 해석해 (An extended analytical solution for the mixture solidification problem)

  • 정재동;유호선;이준식
    • 대한기계학회논문집B
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    • 제22권2호
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    • pp.184-192
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    • 1998
  • This paper deals with an extended analytical solution for the mixture solidification problem, in which temperature is inherently coupled with the solute transport due to the presence of volume contraction induced flow. A new exact solution to the energy equation accounting for the convection effect in the melt is successfully derived, which allows the present analysis to cover a high initial superheating. Difference in properties between the solid and liquid phases is rigorously incorporated into the model equations in the solid fraction weighted form. Taking advantage of linearized correction factors, a systematic and easy-to-implement algorithm for determining the solidus and liquidus positions is introduced, which proves not only to converge stably but also to be very efficient. For a specific case, the present results show excellent agreements with the existing solution. The effect of convection in the melt becomes appreciable with increasing the initial superheating. It is revealed that variable properties in the mushy region significantly affect the solidification behaviors. The present study is also capable of resolving the interaction between microsegregation and macrosegregation.

고온 벽면과 충돌하는 단일 액적의 거동에 관한 연구 (A Study on the Behavior of a Droplet Impacting onto a Heated Surface)

  • 강보선;이동환
    • 대한기계학회논문집B
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    • 제23권7호
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    • pp.871-880
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    • 1999
  • In this paper an experimental study is presented of the problem of dynamic behavior of a water droplet impinging upon a heated surface. The experiments are mainly focused on the effects of impinging angle of a droplet and surface temperature on the impact dynamics of the droplet. It Is clarified that the droplet exhibits much different behavior depending on the normal momentum of an impinging droplet before impact. At surface temperature In the nucleate boiling regime. the disintegration of a droplet doesn't occur, whereas the deforming droplet adheres to the surface. The spreading and contraction of the liquid film is repeated a couple of times for the horizontal surface but the expanded droplet just slips without noticeable contraction for the inclined surfaces. In the film boiling regime, the impinging droplet spreads over the surface as a liquid film which is separated from the surface by produced vapor. Depending on the magnitude of the normal momentum of the droplet the disintegration into the several irregular shapes of liquid elements occurs for the horizontal and 30o-inclined surfaces, whereas the impinging droplet for the 60o-inclined surface doesn't break up and tends to recover the original spherical shape.

GERAGHTY TYPE CONTRACTIONS IN b-METRIC-LIKE SPACES

  • Surjeet Singh, Chauhan(Gonder);Kanika, Rana;Mohammad, Asim;Mohammad, Imdad
    • Korean Journal of Mathematics
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    • 제30권4호
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    • pp.603-614
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    • 2022
  • The main intent of this paper is to prove an existence and uniqueness fixed point result under Geraghty contractions in b-metric-like spaces, which remains an extended version of corresponding results in b-metric spaces and metriclike spaces. Using two types of Geraghty contractions, an approach is adopted to verify some fixed point results in b-metric-like spaces. Our main result is an extension of an earlier result given by Geraghty in b-metric-like-space. An example is also provided to demonstrate the validity of our main result. Moreover, as an application of our main result, the existence of solution of a Fredholm integral equation is established which may further be utilized to study the seismic response of dams during earthquakes.

HUGE COUPLED COINCIDENCE POINT THEOREM FOR GENERALIZED COMPATIBLE PAIR OF MAPPINGS WITH APPLICATIONS

  • DESHPANDE, BHAVANA;HANDA, AMRISH
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제23권1호
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    • pp.73-96
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    • 2016
  • We establish a coupled coincidence point theorem for generalized com-patible pair of mappings under generalized nonlinear contraction on a partially or-dered metric space. We also deduce certain coupled fixed point results without mixed monotone property of F : X × X → X . An example supporting to our result has also been cited. As an application the solution of integral equations are obtained here to illustrate the usability of the obtained results. We improve, extend and generalize several known results.

Effect of ethanolic extract of some anti-asthmatic herbs on clonidine and haloperidol-induced catalepsy in mice

  • Dhanalakshmi, S.;Khaserao, S.S.;Kasture, S.B.
    • Advances in Traditional Medicine
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    • 제4권2호
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    • pp.95-99
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    • 2004
  • The ethanolic extract of some medicinal plants having anti-asthmatic activity such as Solanum xanthocarpum, Curcuma longa, Glycyrrhiza glabra, Piper longum, A. vasica, A. lebbeck, and Tinospora cordifolia was evaluated for antihistaminic and anti-cataleptic activity. The aqueous solution of ethanolic extract of S. xanthocarpum and G. glabra potentiated histamine-induced tracheal chain contractions. Whereas, C. longa, P. longum, and T. cordifolia, and A. lebbeck were without any significant effect on histamine. Only A. vasica inhibited histamine-induced tracheal chain contraction. G. glabra per se produced contraction of the tracheal chain, which was blocked by pretreatment with atropine. Single dose of S. xanthocarpum potentiated clonidine-induced catalepsy but on repeated doses (once in a day for 3 days) inhibited catalepsy. Pretreatment with ethanolic extract of C. longa, P. longum, T. cordifolia inhibited catalepsy whereas G. glabra and A. lebbeck significantly potentiated clonidine-induced catalepsy. None of the extracts inhibited haloperidol-induced catalepsy. Thus the extracts having antihistaminic activity or mast cell stabilizing activity inhibited clonidineinduced catalepsy.

천주증후군 및 후두신경통의 치료를 위한 신경차단 (Nerve Block for Treatment of Tienchu Syndrome and Occipital Neuralgia)

  • 장원영
    • The Korean Journal of Pain
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    • 제6권1호
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    • pp.105-108
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    • 1993
  • A myofascial syndrome due to continuous muscle contraction with the trigger point at the upper lateral edge of the nuchal muscles where they attach to the occipital bone is frequently seen in daily pain clinic practice. The Tienchu syndrome is a myofascial condition of the posterior neck region with a trigger point at the Tienchu acupoint(B10). When advanced, occipital neuralgia and muscle contraction headache follow. Therefore, a Tienchu block and/or occipital nerve block with local anesthetic combined with a small dose of steroid is a most effective therapeutic method for many patients who complain of posterior headache or posterior neck pain.

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