• 한국수학교육학회지시리즈B:순수및응용수학
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• 제26권3호
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• pp.111-131
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• 2019

We introduce (CLRg) property for hybrid pair $F:X{\times}X{\rightarrow}2^X$ and $g:X{\rightarrow}X$. We also introduce joint common limit range (JCLR) property for two hybrid pairs $F,G:X{\times}X{\rightarrow}2^X$ and $f,g:X{\rightarrow}X$. We also establish some common coupled fixed point theorems for hybrid pair of mappings under generalized (${\psi},{\theta},{\varphi}$)-contraction on a noncomplete metric space, which is not partially ordered. It is to be noted that to find coupled coincidence point, we do not employ the condition of continuity of any mapping involved therein. As an application, we study the existence and uniqueness of the solution to an integral equation. We also give an example to demonstrate the degree of validity of our hypothesis. The results we obtain generalize, extend and improve several recent results in the existing literature.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제26권2호
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• pp.99-110
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• 2019

In this paper, we prove some common fixed point theorems for pairs of weakened compatible mappings (subcompatible and occasionally weakly compatible mappings) satisfying a generalized ${\phi}-weak$ contraction condition involving various combinations of the metric functions. In fact, our results improve the results of Jain et al.. Also we provide an example for validity of our results.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제28권4호
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• pp.297-314
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• 2021

This manuscript is divided into three segments. In the first segment, we formulate a unique common fixed point theorem satisfying generalized Meir-Keeler contraction on partially ordered metric spaces and also give an example to demonstrate the usability of our result. In the second segment of the article, some common coupled fixed point results are derived from our main results. In the last segment, we investigate the solution of some periodic boundary value problems. Our results generalize, extend and improve several well-known results of the existing literature.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제30권3호
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• pp.309-336
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• 2023

We establish some common fixed point theorems satisfying weak ψ - ϕ contraction on partially ordered non-Archimedean fuzzy metric spaces. By using this results we show the existence of fixed point on the domain of words and apply this approach to deduce the existence of solution for some recurrence equations associated to the analysis of Quicksort algorithms and divide and Conquer algorithms, respectively and also give an example to show the usefulness of our hypothesis. Our results generalize, extend and improve several well-known results of the existing literature in fixed point theory.

• Archives of Plastic Surgery
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• 제39권5호
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• pp.457-462
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• 2012

Background The elasticity of the back skin of the rat reduced the tension around wounds during the wound healing process in that region, and thus activates wound contraction. The authors proposed two skin fixation methods using readily available materials to decrease the influence of wound contraction on wound healing and designed an experiment to determine their effects. Methods The authors made 36 skin wounds on the backs of 18 rats, and they divided them into three groups. Each group was treated with three different kinds of dressing materials, each with different skin fixing characteristics. Group A was a control group. Group B and group C were dressed by the first and the second skin fixation method. We measured the areas of the wounds post-surgically and calculated the wound area reduction rates. Results The two skin fixation methods both reduced the effect of wound contraction compared to the control group. Each of the two methods had different outcomes in reducing wound contraction. Conclusions The experiment demonstrated significant differences among the wound areas and the wound area reduction rates of the three groups as a result of differences in the degree of wound contraction. To obtain accurate results from wound healing experiments, appropriate skin fixation methods must be adopted.

• Journal of Yeungnam Medical Science
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• 제12권2호
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• pp.246-259
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• 1995

배뇨근의 운동성에 대한 baclofen의 억제작용의 기전을 탐구하기 위하여 다음과 같은 실험을 하였다. 흰쥐 (Sprague-Dawley)의 방광에서 적출한 배뇨근절편을 적출근편실험조에 현수하고, 등척성 장력측정기를 사용하여 그 수축력을 묘기하였다. 실험조내의 영양액의 온도는 $37^{\circ}C$로 유지시키고, 95% 산소와 5% 이산화탄소의 혼합기체를 공급하여 pH를 7.4로 유지하였다. 배뇨근절편은 전기장자극에 의해 수축하였는데, 8분간의 전기장자극 유발수축 중 최초의 급격한 수축반응은 mATP와 baclofen에 의해 약간 억제되는 경향을 보였으며, 후기 4분간의 수축반응은 콜린성 무스카린성 수용체 봉쇄제인 atropine과 $GABA_B$ 수용체 효현제인 baclofen에 의해 유의하게 억제되었다. Atropine은 배뇨근 절편의 acetylcholine 유발 수축을 길항하였고, mATP는 ATP 유발 수축을 완전히 봉쇄하였으나, baclofen 존재하에서는 acetylcholine이나 ATP 첨가에 의한 배뇨근의 수축이 영향을 받지 않았다. 이상의 결과를 종합하면, 흰쥐 방광에는 $GABA_B$ 수용체가 존재하며 baclofen은 이 수용체를 통하여 콜린성신경 말단에서의 신경전달체의 유리를 억제하여 배뇨근의 수축성을 감소시킨다고 사료된다.

• 대한기계학회논문집B
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• 제29권3호
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• pp.368-375
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• 2005

We have presented characteristics of a transitional behavior from a premixed flame to a triple flame in a lifted flame according to the change of equivalence ratio. The experimental apparatus consisted of a slot burner and a contraction nozzle for a lifted flame. As concentration difference of the both side of slot burner increases, the shape of flame changed from a premixed flame to a triple flame, and the liftoff height decreased to the minimum value and then increased again. Around this minimum point, it is confirmed a transition regime from premixed flame to triple flame. Consequently, the experimental results of the liftoff height, flame curvature, and luminescence intensity showed that the stabilized laminar lifted flame regime is categorized by regimes of premixed flame, triple flame and critical flame.

• 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.

• Nonlinear Functional Analysis and Applications
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• 제27권2호
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• pp.233-247
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• 2022

In the present manuscript, we employ the concepts of Θ-map and Φ-map to define a strong (𝜃, 𝜙)s-contraction of a map f in a b-metric space (M, d_b). Then we prove and derive many fixed point theorems as well as we provide an example to support our main result. Moreover, we utilize our results to obtain many results in the settings of metric and G-metric spaces. Our results improve and modify many results in the literature.

• Nonlinear Functional Analysis and Applications
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• 제29권2호
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• pp.487-499
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• 2024

The main motivation for this paper is to investigate the fixed point property for nonlinear contraction defined on b-Menger inner product spaces. First, we introduce a b-Menger inner product spaces, then the topological structure is discussed and the probabilistic Pythagorean theorem is given and established. Also we prove the existence and uniqueness of fixed point in these spaces. This result generalizes and improves many previously known results.