• 제목/요약/키워드: g-contractions

검색결과 82건 처리시간 0.027초

INNOVATION FIXED POINT THEOREMS IN 0-σ-COMPLETE METRIC-LIKE SPACES WITH APPLICATION IN INTEGRAL EQUATIONS

  • Ranjbar, Ghorban Khalilzadeh
    • 한국수학교육학회지시리즈B:순수및응용수학
    • /
    • 제29권3호
    • /
    • pp.231-244
    • /
    • 2022
  • In this paper, we introduce the notion of rational g-h-ϕ-weak contractions in tripled metric-like spaces and demonstrate common fixed point results for each mappings in 0-σ complete tripled metric-like spaces and some examples and application are given.

GENERALIZED INTEGRAL TYPE F-CONTRACTION IN PARTIAL METRIC SPACES AND COMMON FIXED POINT

  • G. S. Saluja;Ho Geun Hyun;Jong Kyu Kim
    • Nonlinear Functional Analysis and Applications
    • /
    • 제28권1호
    • /
    • pp.107-121
    • /
    • 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.

초저온 액화가스 단일 모듈 기화기의 열변형 구조해석 (Structure Analysis on Thermal Deformation of Super Low Temperature Liquefied Gas One-module Vaporizer)

  • 박기태;이용훈;심규진;정효민;정한식
    • 동력기계공학회지
    • /
    • 제11권3호
    • /
    • pp.22-28
    • /
    • 2007
  • Liquefied gas vaporizer is a machine to vaporize liquefied gas such as liquid nitrogen($LN_{2}$), liquefied natural gas(LNG), liquid oxygen($LO_{2}$) etc. For the air type vaporizer, the frozen dew is created by temperature drop (below 273 K) on vaporizer surface. The layer of ice make a contractions on vaporizer. The structure analysis on the heat transfer was studied to see the effect of geometric parameters of the vaporizer, which are length 1000 mm of various type vaporizer. Structure analysis result such as temperature variation, thermal stress and thermal strain have high efficiency of heat emission as increase of thermal conductivity. As the result, Frist, With-fin model shows high temperature distribution better than without-fin on the temperature analysis. Second, Without-fin model shows double contractions better then with-fin model under the super low temperature load on the thermal strain analysis. Third, Vaporizer fin can be apply not only heat exchange but also a stiffener of structure. Finally, we confirm that All model vaporizer can be stand for sudden load change because of compressive yield stress shows within 280 MPa on thermal stress analysis.

  • PDF

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
    • /
    • 제4권2호
    • /
    • pp.95-99
    • /
    • 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.

EXISTENCE AND UNIQUENESS OF FIXED POINT OF SOME EXPANSIVE-TYPE MAPPINGS IN GENERALIZED MODULAR METRIC SPACES

  • Godwin Amechi Okeke;Daniel Francis;Jong Kyu Kim
    • Nonlinear Functional Analysis and Applications
    • /
    • 제28권4호
    • /
    • pp.957-988
    • /
    • 2023
  • We define new classes of expansive-type mappings in the setting of modular 𝜔G-metric spaces and prove the existence of common unique fixed point for these classes of expansive-type mappings on 𝜔G-complete modular 𝜔G-metric spaces. The results established in this paper extend, improve, generalize and compliment many existing results in literature. We produce some examples to validate our results.

Nitroxergic Nerve Relaxes Rat Gastric Smooth Muscle by NO-cGMP Pathway

  • Yoon, Yoong-Sam;Choi, Hyoung-Chul;Jung, Young-Sook;Kim, Jong-Ho;Lee, Kwang-Youn;Sohn, Uy-Dong;Ha, Jeoung-Hee;Kim, Won-Joon
    • The Korean Journal of Physiology and Pharmacology
    • /
    • 제4권5호
    • /
    • pp.369-378
    • /
    • 2000
  • This study was undertaken to investigate an involvement of nitroxergic innervation in gastric smooth muscle of rat. Isometric tension study, the measurement of single cell length, NADPH diaphorase stain of smooth muscle layers and neuronal nitric oxide synthase (nNOS) western blotting were performed. Sodium nitroprusside (SNP), a nitric oxide donor, relaxed the muscle strips precontracted by acetylcholine (ACh) in a concentration-dependent manner. Pretreatment of L-arginine decreased the contraction induced by electric field stimulation (EFS). Pretreatment of $N^G-nitro-L-arginine$ methyl ester (L-NAME), a NOS inhibitor, increased the EFS-induced contractions. LY 83583, a guanylate cyclase (GC) inhibitor, reversed the inhibitory actions of L-arginine on the muscle contractions. The effects of L-Arginine, L-NAME and LY 83583 on ACh-induced contractions were not significant. L-arginine reduced the EFS-induced contraction in circular muscle, whereas L-NAME enhanced the EFS-induced contraction in longitudinal strips. By EFS, the phasic contractions appeared approximately $20{\sim}25$ seconds later. L-NAME significantly shortened the delay time to about $2{\sim}3$ seconds. In single cell study, ACh contracted gastric smooth muscle cells, SNP relaxed the cells, and the latter also inhibited the ACh-induced contraction. LY 83583 enhanced the ACh-induced contraction and antagonized SNP-induced relaxation. NADPH diaphorase activity was assessed by a histochemistry, nitroblue tetrazolium (NTB) staining. Positive staining was observed in both circular and longitudinal muscle layers. L-arginine increased the staining, while L-NAME decreased the staining. Western blotting for nNOS proved the presence of nNOS in rat gastric smooth muscle. EFS and additional $Ca^{2+}$ increased nNOS protein expression. These results suggest that in rat stomach, both circular and longitudinal muscle layers are innervated with nitroxergic nerves which relax the gastric smooth muscle via NO-cGMP pathway.

  • PDF

사백산(瀉白散)과 사백산가사려륵(瀉白散加訶藜勒)이 호흡기계(呼吸器系)에 미치는 영향(影響) (Effect of Sabaeksan and Sabaeksangakaryereuk on the Respiratory System in Experimental Animals)

  • 이순호;한상환
    • 대한한방내과학회지
    • /
    • 제16권1호
    • /
    • pp.104-129
    • /
    • 1995
  • Sabaeksan and Sabaeksangagaryureuk, a traditional prescription, has been used in Korea for many centuries as a treatment for chronic respiratory disease. The purpose of the present study was to determine the effect of Sabaeksan and Sabaeksangagaryureuk on acetylcholine-induced tracheal smooth muscle contraction in guinea pigs and norepinephrine-induced vascular smooth muscle contraction in pigs. Guinea pig (500g, female) were killed by CO2 exposure and a segment (8-10mm) of the thoracic trachea from each guinea pig and renal artery from each pig were cut into equal segments and mounted 'in pairs' in a tissue bath. Contractile force was measured with force displacement transducers under 0.5g loading tension. The dose of acetylcholine (Ach) and norepinephrine (NE) which evoked 50% of maximal response ($ED_{50}$) was obtained from cumulative dose response curves for acetylcholine (10-7-10-4M) and norepinephrine (10-7-10-4M). Contractions of tracheal smooth muscle evoked by Ach ($ED_{50}$) were inhibited significantly by Sabaeksan and Sabaeksangagaryureuk. Propranolol (10-7M) slightly but significantly attenuated the inhibitory effects of Sabaeksan and Sabaeksangagaryureuk. Indomethacin and methylene blue (10-7M) did not significantly alter the inhibitory effect of Sabaeksan and Sabaeksanga-garyureuk. Contractions of vascular smooth muscle evoked by NE (NE50) were inhibited significantly by Sabaeksan and Sabaeksangagaryureuk. Propranolol (10-7M) slightly but significantly attenuated the inhibitory effects of Sabaeksan and Sabaeksangagaryureuk. Indomethacin and methylene blue (10-7M) did not significantly alter the inhibitory effect of Sabaeksan and Sabaeksangagaryureuk. These results indicate that Sabaeksan and Sabaeksangagaryureuk can relax acetylcholine-induced contraction of guinea pig tracheal smooth muscle, and norepinephrine-induced contraction of pig vascular smooth muscle that this inhibition involves, in part, the relation of adrenergic receptor.

  • PDF

토끼 기관평활근 수축에서 G Protein의 역할 (Role of G-protein in the Contraction of Rabbit Trachealis Muscle)

  • 정진섭;황태호;이상호
    • The Korean Journal of Physiology
    • /
    • 제24권2호
    • /
    • pp.353-362
    • /
    • 1990
  • Fluoride (F-), a known stimulator of G-protein, induced strong contraction in rabbit trachealis muscle. $AlCl_3\;(5{\sim}20\;{\mu}M)$, which is required for G-protein stimulation by $F^-$, potentiated the contractile response to $F^-$. $Ca^{2+}-removal$ and verapamil, a calcium channel blocker, inhibited the fluoroaluminate-induced contraction. Fluoroaluminate increased $^{45}Ca$ influx in the absence and presence of verapamil. In heparin-loaded muscle high $K^+-induced$ contraction was not affected, but acetylcholine and fluoroaluminate-induced contractions were inhibited. The fluoroaluminate-induced contraction was partially relaxed by isoproterenol, a stimulator of adenylate cyclase. Pertussis toxin partially inhibited fluoroaluminate-induced contraction and potentiated isoproterenol-induced relaxation in the presence of fluoroaluminate, but had no effect on acetylcholine-induced contraction and the isoproterenol-induced relaxation in the presence of acetylcholine. These results suggest that fluoroaluminate has the ability to stimulate at least two putative G-proteins in rabbit trachealis muscle; One causes $Ca^{2+}$ influx through the potential-operated $Ca^{2+}$ channel and the other induces intracellular $Ca^{2+}$ release by the increase of inositol-1, 4, 5-triphosphate.

  • PDF

On the symmetric sierpinski gaskets

  • Song, Hyun-Jong;Kang, Byung-Sik
    • 대한수학회논문집
    • /
    • 제12권1호
    • /
    • pp.157-163
    • /
    • 1997
  • Based on a n-regular polygon $P_n$, we show that $r_n = 1/(2 \sum^{[(n-4)/4]+1}_{j=0}{cos 2j\pi/n)}$ is the ratio of contractions $f_i(1 \leq i \leq n)$ at each vertex of $P_n$ yielding a symmetric gasket $G_n$ associated with the just-touching I.F.S. $g_n = {f_i $\mid$ 1 \leq i \leq n}$. Moreover we see that for any odd n, the ratio $r_n$ is still valid for just-touching I.F.S $H_n = {f_i \circ R $\mid$ 1 \leq i \leq n}$ yielding another symmetric gasket $H_n$ where R is the $\pi/n$-rotation with respect to the center of $P_n$.

  • PDF

A형 간염 예방백신 CJ-50005의 일반약리작용 (General Pharmacology of CJ-50005 (Hepatitis A Vaccine))

  • 김영훈;최재묵;정성학;정용주;이성희;김의경;김제학;박병훈
    • Biomolecules & Therapeutics
    • /
    • 제7권4호
    • /
    • pp.390-396
    • /
    • 1999
  • CJ-50005 is a hepatitis A vaccine which is prepared by formalin inactivation of the HM175 virus cultured in human diploid MRC-5 cells. The general pharmacological properties of CJ-50005 were evaluated in various animals and in vitor system. CJ-50005 at the doses of 0.025, 0.25 and 0.75 $\mu\textrm{g}$/kg, i.m. had no effect on general behavior in mice, chemo- and electro-convulsions in mice, writhing syndrome induced by acetic acid in mice, the barbital sleeping time in mice, body temperature in rats, charcoal meal propulsion in mice and urine and electrolytes excretion in rats. In anesthetized dogs, CJ-50005(0.25 and 0.75 $\mu\textrm{g}$/kg, i.v) did not alter the respiratory rate, blood pressure, heart rate, femoral blood flow and ECG. In in vitro experiment, CJ-50005 at the concentration up to 0.02 $\mu\textrm{g}$/ml did not produce any changes in the contractions of the isolated ileum of guinea pigs caused by acetylcholine, histamine or $BaCl_2$. Since these pharmacological effects of CJ-50005 were observed at dose much greater than those in clinical use (approximately 0.025 $\mu\textrm{g}$/kg, i.m.), it is likely that this vaccine may be relatively free of undesirable effects in clinical practice.

  • PDF