• 호남수학학술지
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• 제41권1호
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• pp.19-34
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• 2019

The article is written with a view to introducing the new idea of an F-contraction on a closed ball and have new ${\acute{C}}iri{\acute{c}}$ type fixed point theorems in the framework of a complete metric space. That is why this outcome becomes useful for the contraction of the mapping on a closed ball instead of the whole space. At the same time, some comparative examples are constructed which establish the superiority of our results. It can be stated that the results that have come into being give proof of extension as well as substantial generalizations and improvements of several well known results in the existing comparable literature.

• The Korean Journal of Physiology
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• 제23권1호
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• pp.99-108
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• 1989

The effects of prostaglandin $(PGF_{2{\alpha}})$ on the contractility of vascular smooth muscle were investigated in the helical strip of the rabbit aorta. The aortic strip was immersed in the phosphate-buffered Tyrode's solution which was equilibrated with 100% $O_{2}$ at $35^{\circ}C$ and its isometric tension was measured. The contraction was induced by $(PGF_{2{\alpha}})$, norepinephrine (NE), or potassium (40 mM) in the nomal Tyrode's solution (1 mM, $Ca^{2+}$) or $Ca^{2+}-free$ Tyrode's solution. Effects of verapamil and phentolamine on the contraction were also observed. The aortic strip began to contract at the concentration of $5\;{\mu}g%$ and reached the maximal contraction at the concentration of $150\;{\mu}g%$ $(PGF_{2{\alpha}})$. The maximal contraction was corresponded respectively to $52.2{\pm}3.0%$ and $81.5{\pm}3.5%$ of maximal contraction by NE $(1{\times}10^{-5}M)$ and 40 mM $K^{+}$. And the maximal contractions by $(PGF_{2{\alpha}})$ or NE were induced at the concentration of about 1 mM $Ca^{2+}$. $(PGF_{2{\alpha}})$ induced the contraction of aortic strip even after induction of contraction by 40 mM $K^{+}$ and the contraction by $(PGF_{2{\alpha}})$ was not blocked by the ${\alpha}-receptor$ blocker, phentolamine. And the contraction by the $(PGF_{2{\alpha}})$ was inhibited partially by a verapamil at the concentration of $1{\times}10^{-5}M$ and the contraction began to increase at the concentration of $1{\times}10^{-4}M$ verapamil. Whereas the contraction by NE was completely blocked by verapamil. Though both the $(PGF_{2{\alpha}})$ and NE induced the contraction in the $Ca^{2+}-free$ Tyrode's solution, the peak tension was not maintained. But the rate of tension decline was lower in the contraction by $(PGF_{2{\alpha}})$ than in that by NE. The verapamil did not inhibit the contraction by $(PGF_{2{\alpha}})$ in the $Ca^{2+}-free$ Tyrode's solution and increased the contraction at the concentration of above $1{\times}10^{-4}M$. The NE-induced contraction in the $Ca^{2+}-free$ Tyrode's solution was inhibited completely by a verapamil. From the above results it is suggested that the contraction induced by $(PGF_{2{\alpha}})$ results from the promotion of the both $Ca^{2+}$ influx and the intracellular $Ca^{2+}$ release by different way from NE.

• 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.

• Nonlinear Functional Analysis and Applications
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• 제28권1호
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• pp.107-121
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• 2023

In this work, we study generalized integral type F-contractions in partial metric spaces and establish some common fixed point theorems. Also, we give some consequences of the established result. Our results extend and generalize several results from the existing literature.

• Nonlinear Functional Analysis and Applications
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• 제27권2호
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• pp.309-322
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• 2022

In this paper, we introduce the notion of a new generalized type of rational F-contraction mapping. Further, the concept is used to obtain fixed points in a complete b-metric space. We also prove another unique fixed point theorem in the context of b-metric space. Our results are verified with example.

• The Journal of Korean Physical Therapy
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• 제15권4호
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• pp.442-454
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• 2003

The aim of this study was to demonstrate the effects of silver spike point (SSP) low frequency electrical stimulation on plasma vasoactive intestinal polypeptide (VIP) activities measured by radioimmunoassay from volunteer and the effects of VIP on pain substance-induced contraction investigated by isometric tension methode in animal. The current of 3 Hz continue type, but not 100 Hz continue type, of SSP low frequency electrical stimulation significantly increased in plasma VIP from normal volunteer. The pain substance, such as norepinephrine, serotonin, and prostaglandin $F2{\alpha}$, increased vascular smooth muscle contraction, respectively. These responses were inhibited by VIP applied cumulatively (1 nM - $1\;{\mu}M$), but not serotonin-induced contraction. In addition, serotonin, and prostaglandin $F2{\alpha}$ induced uterine smooth muscle contraction from rat. However, these responses were inhibited by VIP ($1\;{\mu}M$), only serotonin-induced contraction. These results suggest that the VIP regulates pain substance in part and that the SSP low frequency electrical stimulation, specifically current of 3 Hz continue type, significantly increases plasma VIP from volunteer.

• Nonlinear Functional Analysis and Applications
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• 제26권5호
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• pp.903-915
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• 2021

In this paper, we introduce the concepts of an orthogonal generalized F-contraction mapping and prove some fixed point theorems for a self mapping in an orthogonal metric space. The given results are generalization and extension some of the well-known results in the literature. An example to support our result is presented.

• 대한수학회논문집
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• 제37권4호
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• pp.1147-1170
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• 2022

In this paper, we introduce a new class of mappings called the generalized orthogonal F-Suzuki contraction for a family of multivalued mappings in the setup of orthogonal b-metric spaces. We established the existence of some common fixed point results without using any commutativity condition for this new class of mappings in orthogonal b-metric spaces. Moreover, we illustrate and support these common fixed point results with example. The results obtained in this work generalize and extend some recent and classical related results in the existing literature.

• 여성건강간호학회지
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• 제15권3호
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• pp.177-185
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• 2009

Purpose: This study was done to examine the effects of an incontinence prevention program on postpartum women. Methods: The study design was a nonequivalent control pretest-posttest design. The subjects were 49 postpartum women with a normal vaginal delivery, 25 in the experimental group and 24 in the control group. Data was collected from lune 1. 2007 to April 30. 2008 at a postpartum women's care center located in Jeonju, Korea. For the experimental treatment, an incontinence prevention program was carried out for 24 weeks. Measures included maximum pressure of pelvic floor muscle contraction and duration of pelvic floor muscle contraction at pre-treatment, 5 weeks postpartum and 24 weeks postpartum. Data was analyzed by Repeated ANOVA using the SPSS/WIN 14.0 program. Results: The mean maximum pressure of pelvic floor muscle contraction (F = 8.95, p < .001) and mean duration of pelvic floor muscle contraction (F = 22.01, p < .001) were significantly different between the groups, and significantly increased as time passed. Conclusion: Practice of an incontinence prevention program is considered an effective intervention for the results of fewer urinary incontinence symptoms in postpartum women.

• 약학회지
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• 제51권5호
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• pp.301-306
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• 2007

Rosiglitazone ($Avandia^{(R)}$) represents a new class of antidiabetic drugs which are $PPAR{\gamma}$ agonists. The present study was undertaken to determine whether the new antidiabetic rosiglitazone influences on the agonist-induced regulation of vascular smooth muscle contraction as an antihypertensive and, if so, to investigate the related mechanism. Endothelium-denuded arterial rings from male Sprague-Dawley rats were used and isometric contractions were recorded using a computerized data acquisition system. Rosiglitazone decreased Rho-kinase activating agonist (NaF or thromboxane $A_2$ mimetic)-induced contraction but not depolarization- or phorbol ester-induced contraction. Surprisingly, it slightly potentiated the latter contraction possibly opening a voltage-dependent calcium channel by its chemical structure on 50 mM KCI- or $1{\mu}M$ phorbol 12,13-dibutyrate-induced vasoconstriction. In conclusion, this study provides the evidence and possible related mechanism concerning the biphasic effect of an antidiabetic rosiglitazone as a possible antihypertensive on the agonistinduced contraction in rat aortic rings regardless of endothelial function.