• Nonlinear Functional Analysis and Applications
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• 제27권4호
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• pp.701-707
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• 2022

In this article, we put forward a new type of variational inclusion problem known as resolvent inclusion. An algorithm is given for approximating its solution. The convergence of the algorithm is explained with the help of an example and plots using Matlab.

• Kyungpook Mathematical Journal
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• 제62권4호
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• pp.673-687
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• 2022

In this study, we solve the Cayley inclusion problem and the fixed point problem in real Hilbert space using Tseng's technique with inertial extrapolation in order to obtain more efficient results. We provide a strong convergence theorem to approximate a common solution to the Cayley inclusion problem and the fixed point problem under some appropriate assumptions. Finally, we present a numerical example that satisfies the problem and shows the computational performance of our suggested technique.

• Nonlinear Functional Analysis and Applications
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• 제28권3호
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• pp.775-791
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• 2023

In this manuscript, we prove the existence of the coupled coincidence point by using g-couplings in multiplicative metric spaces (MMS). Further we show that existence of a fixed point in ordered MMS having t-property. Finally, some examples and application are presented for attesting to the credibility of our results.

• East Asian mathematical journal
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• 제25권4호
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• pp.505-516
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• 2009

In this paper, we consider a new class of generalized mixed vector equilibrium-like problems in Banach spaces. By using Fan-KKM Theorem and Nadler's Theorem, we prove the existence theorem of solution for this class of generalized mixed vector equilibrium-like problems.

• Kyungpook Mathematical Journal
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• 제63권3호
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• pp.325-331
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• 2023

Let 𝔄 be a prime ring of char(𝔄 ≠ 2, ℒ a non-central Lie ideal of 𝔄, ℱ a generalized skew derivation of 𝔄 and p ∈ 𝔄, a nonzero fixed element. If pℱ(η)η ∈ C for any η ∈ ℒ, then 𝔄 satisfies S₄.

• Kyungpook Mathematical Journal
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• 제14권1호
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• pp.79-80
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• 1974

• Kyungpook Mathematical Journal
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• 제17권1호
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• pp.91-94
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• 1977

• Advances in Traditional Medicine
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• 제5권2호
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• pp.150-155
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• 2005

Aqueous extract of antidiarrhoeal formulation (ADF) containing Holarrhena antidysentrica, Aegle marmelos and Punica granatum was investigated for antidiarrhoeal activity against charcoal-induced gut transit, serotonin-induced diarrhoea and $PGE_2-induced$ small intestine enteropooling in rats. The control, standard and test groups of experimental animals were administered with normal saline (p.o.), diphenoxylate hydrochloride (5 mg/kg, p.o.) and ADF (250 mg and 500 mg/kg, p.o.) respectively except the control group of $PGE_2-induced$ small intestine enteropooling which received only 5% ethanol in normal saline (i.p.). Charcoal (10 ml/kg, p.o.) and serotonin $(600\;{\mu}g/kg,\;i.p.)$ were administered after 30 min, while $PGE_2\;(100\;{\mu}g/kg,\;p.o.)$ was administered immediately afterwards. The distance traveled by charcoal in small intestine was measured after 15 and 30 min of charcoal administration, diarrhoea was observed every 30 min for six hour after serotonin administration and the volume of intestinal fluid was measured after 30 min of $PGE_2$ administration. Oral administration of ADF significantly inhibited the frequency of defaecation and decreased the propulsion of charcoal meal through the gastrointestinal tract, reduced the wetness of faecal dropping in serotonin-induced diarrhoea and also reduced the $PGE_2-induced$small intestine enteropooling. ADF may have potential to reduce the diarrhoea in rats.

• Advances in Traditional Medicine
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• 제6권2호
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• pp.144-156
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• 2006

The effect of aqueous and alcoholic extracts of the fruit, leaf and stem of Melia azedarach Linn. (Meliaceae) on the spontaneous movements of both the whole worm and the nerve-muscle (n.m.) preparation of Setaria (S.) cervi and on the survival of microfilariae in vitro was studied. Alcoholic extracts of fruit, leaf and stem caused inhibition of the spontaneous movements of the whole worm and the n.m. preparation of S. cervi, while only aqueous extract of fruit caused inhibition of the spontaneous movements of the whole worm and the n.m. preparation of S. cervi. The initial stimulatory effect was not observed by the aqueous and alcoholic extracts of fruit on n.m. preparation. The concentrations required to inhibit the movements of the whole worm and n.m. preparation for alcoholic extracts of fruit, leaf and stem were 250, $40\;{\mu}g/ml$; 280, $40\;{\mu}g/ml$ and 270, $25\;{\mu}g/ml$ respectively, whereas an aqueous extract of fruit caused inhibition of whole worm and n.m. preparation at $200\;{\mu}g/ml$ and $40\;{\mu}g/ml$ respectively. Alcoholic extracts of the fruit, leaf and stem and aqueous extract of the fruit of M. azedarach caused concentration related inhibition on the survival of microfilariae (m.f.) of S. cervi. The $LC_{50}$ and $LC_{90}$ as observed after 6 h were found to be 5, 15, 10, 20 ng/ml and 10, 25, 20 and 35 ng/ml, respectively. This work was conducted in view of the exploration of potential antifilarial herbal drug.

• 대한화학회지
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• 제53권2호
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• pp.152-158
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• 2009

산성 용액에서 $Ca^{2+},\;Mg^{2+},\;Mn^{2+},\;Fe^{3+},\;Co^{2+},\;Ni^{2+},\;Cu^{2+}$ 및 $Zn^{2+}$와 Cefpodoxime proxetil (CFP)의 상 호작용을 분광학적으로 조사한 결과 1:1 착물이 형성됨을 알 수 있다. 순수한 약품의 흡수스펙트럼은 270과 345 nm에서 두 개의 현저한 봉오리를 보였다. 여러 pH에서 스펙트럼은 두 개의 isosbestic 점(305 과 330 nm)을 나타내었다. 이는 용액상에서 약품의 쯔비터 이온이 존재함을 의미한다. 다른 농도의 금 속이온에서 CFP의 형광방출 스펙트럼은 chelating enhancement fluorescence(CHEF)효과에 의해 형광강 도가 증가함을 알 수 있었다. 착체의 화학량론은 Job’'s 와 Benesi-Hildebrand 방법에 의해 결정되었다. 착 체의 안정도는 다음 순서와 같다. $Ca^{2+}\;<\;Mg^{2+}\;<\;Co^{2+}\;<\;Ni^{2+}\;<\;Zn^{2+}\;<\;Mn^{2+}\;<\;Cu^{2+}\;<\;Fe^{3+}$.