• 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.

• 한국항공운항학회지
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• 제13권4호
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• pp.92-99
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• 2005

A closed-circuit type wind tunnel is designed, which has a test section with the dimensions $1.2(W){\times}1.2(H){\times}3.4(L)$. A subsonic wind tunnel is designed to improves educational circumstances and promote ground tests. It is constituted of an exchangeable test section, first and second diffusers, a fan, a settling chamber, a contraction, and 4 corners. The maximum velocity in the test section is 70m/s and the contraction ratio is 6.25:1. Input power in the wind tunnel is about 96.1 kw (128.8 hp) and its energy ratio is 3.89. It has the dimension of about $7.4(W){\times}3.6(H){\times}21.7m(L)$. The wind tunnel designed in this investigation will be an effective educational and investigational equipment.

• Geomechanics and Engineering
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• 제13권6호
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• pp.907-928
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• 2017

The effects of seepage force and out-of-plane stress on cavity contracting and tunnel opening was investigated in this study. The generalized Hoek-Brown (H-B) failure criterion and non-associated flow rule were adopted. Because of the complex solution of pore pressure in an arbitrary direction, only the pore pressure through the radial direction was assumed in this paper. In order to investigate the effect of out-of-plane stress and seepage force on the cavity contraction and circular tunnel opening, three cases of the out-of-plane stress being the minor, intermediate, or major principal stress are assumed separately. A method of plane strain problem is adopted to obtain the stress and strain for cavity contracting and circular tunnel opening for three cases, respectively, that incorporated the effects of seepage force. The proposed solutions were validated by the published results and the correction is verified. Several cases were analyzed, and parameter studies were conducted to highlight the effects of seepage force, H-B constants, and out-of-plane stress on stress, displacement, and plastic radius with the numerical method. The proposed method may be used to address the complex problems of cavity contraction and tunnel opening in rock mass.

• Journal of Yeungnam Medical Science
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• 제9권2호
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• pp.359-381
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• 1992

Benzodiazepine계 약물들은 진정 최면제의 대표적인 약물로서, 중추신경계에서의 그 작용은 gamma amino butyric acid(GABA) 수용체와 짝지워져 있는 benzodiazepine 수용체를 통해서 나타나며 또한 뇌에 있는 synaptosome에서 전위 의존성 calcium channel을 통한 calcium의 섭취를 억제함으로써 진정작용 및 최면 작용이 나타난다. 이와 아울러 말초 장기에서도 benzodiazepine 수용체와 GABA 수용체가 발견 되었는데 이들의 기능과 상호관계는 잘 알려져 있지 않다. 이에 본 실험에서는 benzodiazepine계통의 대표적인 약물이며 중추신경과 말초 장기에 동시에 작용하는 diazepam이 흰쥐 적출자궁의 자발 수축 및 oxytocin 유발 수축에 미치는 영향을 검색하고, 이러한 diazepam의 효과와 GABA 수용체 및 calcium과의 상호관계를 검색함으로써 그 작용기전을 추구해 보기 위하여 다음과 같은 실험을 하였다. 난소를 제거한 후 estrogen(17 beta-estradiol : $500{\mu}g/kg/day$)을 4일 동안 전 처치한 흰쥐의 자궁을 적출하여 등척성 장력을 측정함으로써 그 수축력의 변화를 관찰하였다. Diazepam과 GABA 수용체 효현제 및 그 봉쇄제들이 자궁절편의 자발 수축과 oxytocin 유발 수축에 미치는 영향을 검색하였고, 또 이들 약물의 작용에 관련된 calcium 동원기전에 대하여 관찰하여 다음과 같은 결과를 얻었다. Diazepam은 흰쥐 적출자궁의 자발수축 및 oxytocin 유발수축을 농도 의존적으로 억제하였다. GABA, GABA A 수용체 효현제인 muscimol, GAGA A 수용체의 상경적 봉쇄제인 bicuculline, GABA A 수용체의 비상경적 봉쇄제인 picrotoxin, GABA B 수용체 효현제인 boclofen, 그리고 GABA B 수용체 봉쇄제인 delta-aminovaleric acid는 흰쥐 적출 자궁의 자발 수축 및 oxytocin 유발수축에 아무런 영향을 미치지 않았다. 자발 수축 및 oxytocin 유발수축에 대한 diazepam의 억제 작용은 GABA 수용체 효현제 및 봉쇄제의 영향을 받지 않았다. 그러나 bicuculline은 diazepam의 억제 작용에 상가적으로 작용하였는데, bicuculline의 이러한 작용은 muscimol에 의해서 길항되지 않았다. 정상 PSS 내에서 diazepam에 의해 억제되었던 자발수욱 및 oxytocin유발수촉은 calcium의 첨가 및 calcium inophore인 A23187의 첨가로 일부 회복되었다. Calcium 배제 용액내에서는 diazepam이 calcium 첨가로 인한 수축력 회복을 방해하였으며 calcium inophore인 A23187에 의한 수축력 증가는 막지 못하였다. 또 세포외액에 calcium이 결핍된 상태에서는 oxytocin 자체에 의한 수축을 방해하지 못하였으나 이어 첨가된 calcium에 의한 oxytocin 유발 수축의 증가는 일부 억제하였다. 이상의 실험결과로 미루어 볼 때 diazepam은 자궁의 자발수측 및 oxytocin 유발 수축을 억제할 수 있으며, 이러한 작용은 GABA 수용체 의존성이 아닌 세포외액의 calcium의 유입을 억제함으로써 나타나는 것으로 사료된다.

• Journal of applied mathematics & informatics
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• 제30권3_4호
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• pp.677-683
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• 2012

W.Choi([1]) obtains a complete description of ergodic property and several property by making use of the semigroup method. In this note, we shall consider separately the martingale problems for two operators A and B as a detail decomposition of operator L. A key point is that the (K, L, $p$)-martingale problem in population genetics model is related to diffusion processes, so we begin with some a priori estimates and we shall show existence of contraction semigroup {$T_t$} associated with decomposition operator A.

• Nonlinear Functional Analysis and Applications
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• 제28권4호
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• pp.877-886
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• 2023

The first result of this paper is to give a revised proof of Sanatammappa et al.'s recent result in a b-metric space, under appropriate choice of constants without using the continuity of the b-metric. The second is to prove a fixed point theorem under a contraction type condition in an extended b-metric space.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제21권1호
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• pp.23-38
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• 2014

In this paper, we introduce the concept of w¡compatibility and weakly commutativity for hybrid pair of mappings $F:X{\times}X{\times}X{\rightarrow}2^X$ and $g:X{\rightarrow}X$ and establish a common tripled fixed point theorem under generalized nonlinear contraction. An example is also given to validate our result. We improve, extend and generalize various known results.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제23권1호
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• pp.35-51
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• 2016

We establish coincidence point theorem for g-nondecreasing mappings satisfying generalized nonlinear contraction on partially ordered metric spaces. We also obtain the coupled coincidence point theorem for generalized compatible pair of mappings F, G : X² → X by using obtained coincidence point results. Furthermore, an example is also given to demonstrate the degree of validity of our hypothesis. Our results generalize, modify, improve and sharpen several well-known results.

• East Asian mathematical journal
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• 제32권3호
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• pp.333-354
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• 2016

We present coincidence point theorem for g-non-decreasing mappings satisfying generalized nonlinear contraction on partially ordered metric spaces. We show how multidimensional results can be seen as simple consequences of our unidimensional coincidence point theorem. We also obtain the coupled coincidence point theorem for generalized compatible pair of mappings $F,G:X^2{\rightarrow}X$ by using obtained coincidence point results. Furthermore, an example and an application to integral equation are also given to show the usability of obtained results. Our results generalize, modify, improve and sharpen several well-known results.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제25권4호
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• pp.279-295
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• 2018

We study the existence and uniqueness of fixed point for isotone mappings of any number of arguments under Geraghty-type contraction on a complete metric space endowed with a partial order. As an application of our result we study the existence and uniqueness of the solution to a nonlinear Fredholm integral equation. Our results generalize, extend and unify several classical and very recent related results in the literature in metric spaces.