• Title/Summary/Keyword: KC-map

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COLLECTIVE FIXED POINTS FOR GENERALIZED CONDENSING MAPS IN ABSTRACT CONVEX UNIFORM SPACES

  • Kim, Hoonjoo
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.1
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    • pp.93-104
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    • 2021
  • In this paper, we present a fixed point theorem for a family of generalized condensing multimaps which have ranges of the Zima-Hadžić type in Hausdorff KKM uniform spaces. It extends Himmelberg et al. type fixed point theorem. As applications, we obtain some new collective fixed point theorems for various type generalized condensing multimaps in abstract convex uniform spaces.

FIXED POINT THEOREMS FOR MӦNCH TYPE MAPS IN ABSTRACT CONVEX UNIFORM SPACES

  • Kim, Hoonjoo
    • Journal of the Chungcheong Mathematical Society
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    • v.34 no.4
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    • pp.345-353
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    • 2021
  • In this paper, first, we present new fixed point theorems for Mönch type multimaps on abstract convex uniform spaces and, also, a fixed point theorem for Mönch type multimaps in Hausdorff KKM L𝚪-spaces. Second, we show that Mönch type multimaps in the better admissible class defined on an L𝚪-space have fixed point properties whenever their ranges are Klee approximable. Finally, we obtain fixed point theorems on 𝔎ℭ-maps whose ranges are 𝚽-sets.

ELEMENTS OF THE KKM THEORY ON CONVEX SPACES

  • Park, Se-Hie
    • Journal of the Korean Mathematical Society
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    • v.45 no.1
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    • pp.1-27
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    • 2008
  • We introduce a new concept of convex spaces and a multimap class K having certain KKM property. From a basic KKM type theorem for a K-map defined on an convex space without any topology, we deduce ten equivalent formulations of the theorem. As applications of the equivalents, in the frame of convex topological spaces, we obtain Fan-Browder type fixed point theorems, almost fixed point theorems for multimaps, mutual relations between the map classes K and B, variational inequalities, the von Neumann type minimax theorems, and the Nash equilibrium theorems.

BEST APPROXIMATIONS FOR MULTIMAPS ON ABSTRACT CONVEX SPACES

  • Park, Sehie
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.1
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    • pp.165-175
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    • 2021
  • In this article we derive some best approximation theorems for multimaps in abstract convex metric spaces. We are based on generalized KKM maps due to Kassay-Kolumbán, Chang-Zhang, and studied by Park, Kim-Park, Park-Lee, and Lee. Our main results are extensions of a recent work of Mitrović-Hussain-Sen-Radenović on G-convex metric spaces to partial KKM metric spaces. We also recall known works related to single-valued maps, and introduce new partial KKM metric spaces which can be applied our new results.

Effect of White Ginseng-Ejung-tang Water Extract on Cytokine Production in LPS-induced RAW 264.7 Mouse Macrophages (Lipopolysaccharide로 유발된 마우스대식세포의 cytokine 생성증가에 대한 백삼이중탕 물추출물의 영향)

  • Park, Wan Su
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.27 no.6
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    • pp.738-744
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    • 2013
  • The purpose of this study is to investigate effects of White Ginseng-Ejung-tang water extract (EJ) on production of various cytokines such as interleukin (IL)-2, IL-5, IL-6, IL-10, IL-12p70, macrophage inflammatory protein (MIP)-2, vascular endothelial growth factor (VEGF), keratinocyte-derived chemokine(KC), tumor necrosis factor (TNF)-${\alpha}$, and granulocyte macrophage colony-stimulating factor (GM-CSF) in RAW 264.7 mouse macrophages stimulated by lipopolysaccharide (LPS). Levels of cytokines were measured by High-throughput multiplex bead array cytokine assay based on xMAP (multi-analyte profiling beads) technology. EJ significantly decreased levels of IL-2, IL-12p70, IL-5, MIP-2 for 24 h incubation at the concentrations of 25, 50, and 100 ${\mu}g/mL$ in LPS-induced RAW 264.7 (P < 0.05). EJ significantly decreased levels of IL-6 at the concentrations of 50 and 100 ${\mu}g/mL$ (P < 0.05). EJ significantly decreased levels of IL-10 and VEGF at the concentrations of 25 and 100 ${\mu}g/mL$ (P < 0.05). EJ significantly decreased levels of KC at the concentrations of 100 ${\mu}g/mL$ (P < 0.05). EJ did not show any significant effect on TNF-${\alpha}$ and GM-CSF production. These results suggest that EJ has anti-inflammtory property related with its inhibition of IL-2, IL-5, IL-6, IL-10, IL-12p70, MIP-2, VEGF, and KC production in LPS-induced macrophages.

Effects of Red Ginseng-Ejung-tang Water Extract on Cytokine Production in LPS-induced Mouse Macrophages

  • Park, Wansu
    • The Journal of Korean Medicine
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    • v.33 no.4
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    • pp.42-49
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    • 2012
  • Objectives: The purpose of this study was to investigate effects of Red Ginseng-Ejung-tang Water Extract (ER) on cytokine production in RAW 264.7 mouse macrophages stimulated by lipopolysaccharide (LPS). Methods: Levels of various cytokines such as interleukin (IL)-6, IL-10, IL-2, IL-12p70, vascular endothelial growth factor (VEGF), monocyte chemoattractant protein (MCP)-1, macrophage inflammatory protein (MIP)-2, keratinocyte-derived chemokine (KC), tumor necrosis factor (TNF)-alpha, granulocyte macrophage colony-stimulating factor (GM-CSF) were measured by high-throughput multiplex bead array cytokine assay based on xMAP (multi-analyte profiling beads) technology. Results: ER significantly decreased levels of IL-6, IL-10, IL-2, IL-12p70, VEGF, and MCP-1 for 24 hrs incubation at the concentrations of 25, 50, and $100{\mu}g/mL$ in LPS-induced RAW 264.7 cells (P < 0.05). But ER did not exert significant effects on production of MIP-2, KC, TNF-${\alpha}$, and GM-CSF in LPS-induced RAW 264.7 cells. Conclusions: These results suggest that ER has an anti-inflammatory property related with its inhibition of cytokine production in LPS-induced macrophages.

A Scalar Multiplication Algorithm Secure against Side-Channel Attacks for Koblitz Curve Cryptosystems (암호공격에 안전한 Koblitz 타원곡선 암호시스템의 스칼라 곱셈 알고리즘)

  • Jang, Yong-Hee;Takagi, Naofumi;Takagi, Kazuyoshi;Kwon, Yong-Jin
    • Proceedings of the Korea Institutes of Information Security and Cryptology Conference
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    • 2006.06a
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    • pp.356-360
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    • 2006
  • Recently, many power analysis attacks have been proposed. Since the attacks are powerful, it is very important to implement cryptosystems securely against the attacks. We propose countermeasures against power analysis attacks for elliptic curve cryptosystems based on Koblitz curves (KCs), which are a special class of elliptic curves. That is, we make our countermeasures be secure against SPA, DPA, and new DPA attacks, specially RPA, ZPA, using a random point at each execution of elliptic curve scalar multiplication. And since our countermeasures are designed to use the Frobenius map of KC, those are very fast.

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Implementation of Channel Coding System using Viterbi Decoder of Pipeline-based Multi-Window (파이프라인 기반 다중윈도방식의 비터비 디코더를 이용한 채널 코딩 시스템의 구현)

  • Seo Young-Ho;Kim Dong-Wook
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.9 no.3
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    • pp.587-594
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    • 2005
  • In the paper, after we propose a viterbi decoder which has multiple buffering and parallel processing decoding scheme through expanding time-divided imput signal, and map a FPGA, we implement a channel coding system together with PC-based software. Continuous input signal is buffered as order of decoding length and is parallel decoded using a high speed cell for viterbi decoding. Output data rate increases linearly with the cell formed the viterbi decoder, and flexible operation can be satisfied by programming controller and modifying input buffer. The tell for viterbi decoder consists of HD block for calculating hamming distance, CM block for calculating value in each state, TB block for trace-back operation, and LIFO. The implemented cell of viterbi decoder used 351 LAB(Logic Arrary Block) and stably operated in maximum 139MHz in APEX20KC EP20K600CB652-7 FPGA of ALTERA. The whole viterbi decoder including viterbi decoding cells, input/output buffers, and a controller occupied the hardware resource of $23\%$ and has the output data rate of 1Gbps.

Inhibitory Effect of Gallic acid on Production of Chemokine and Growth Factor in Mouse Macrophage Stimulated by Lipopolysaccharide (Gallic acid가 Lipopolysaccharide로 활성화된 마우스 대식세포의 케모카인과 성장인자 생성에 미치는 영향)

  • Park, Wan-Su
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.24 no.4
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    • pp.586-591
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    • 2010
  • Chemokine and Growth Factor are major mediumtors of immuno-inflammatory pathway. The purpose of this study is to investigate whether productions of Chemokine and Growth Factor in lipopolysaccharide (LPS)-induced mouse macrophage RAW 264.7 cells are modulated by Gallic acid (GA), which is easily founded in tannin-containing natural materials such as red wine, green tea, grape juice, and Corni Fructus. Productions of Chemokine and Growth Factor were analyzed by High-throughput Multiplex Bead based Assay with Bio-plex Suspension Array System based on $xMAP^{(R)}$ (multi-analyte profiling beads) technology. At first, cell culture supernatant was obtained after treatment with LPS and GA for 24 hour. Then, the antibody-conjugated beads were added and incubated for 30 minutes. After incubation, detection antibody was added and incubated for 30 minutes. And Strepavidin-conjugated Phycoerythrin (SAPE) was added. After incubation for 30 minutes, the level of SAPE fluorescence was analyzed on Bio-plex Suspension Array System. Based on fluorescence intensity, concentrations of Chemokine and Growth Factor were determined. The results of the experiment are as follows. GA significantly inhibited the production of interferon-inducible protein (IP)-10, keratinocyte-derived chemokine(KC), and vascular endothelial growth factor (VEGF) in LPS-induced RAW 264.7 cells at the concentration of 25, 50, 100, 200 uM (p<0.05). GA significantly inhibited the production of monocyte chemoattractant protein-1(MCP-1) and macrophage-colony stimulating factor(M-CSF) in LPS-induced RAW 264.7 cells at the concentration of 50, 100, 200 uM (p<0.05). GA diminished the production of granulocyte macrophage-colony stimulating factor (GM-CSF) in LPS-induced RAW 264.7 cells. But GA did not show the inhibitory effect on the production of leukemia inhibitory factor (LIP) and macrophage inflammatory protein (MIP)-2 in LPS-induced RAW 264.7 cells. These results suggest that GA has the immuno-modulating activity related with its inhibitory effects on the production of IP-10, KC, MCP-1, VEGF, and M-CSF in LPS-induced macrophages.

Anti-inflammatory Effect of Houttuyniae Herba Water Extract on LPS-induced RAW 264.7 Mouse Macrophages (마우스 대식세포를 이용한 어성초(魚腥草) 물추출물의 항염효능연구)

  • Hwang, In Seung;Kim, Young Jin;Park, Yun Soo;Kim, Hyun Ju;Kim, Do Hoon;Park, Wan Su
    • The Korea Journal of Herbology
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    • v.29 no.4
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    • pp.83-89
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    • 2014
  • Objectives : The purpose of this study was to investigate effects of Houttuyniae Herba water extract (HC) on calcium release and production of various inflammatory mediators such as nitric oxide (NO), interferon-inducible protein (IP)-10, platelet derived growth factor (PDGF)-BB, keratinocyte-derived chemokine (KC), vascular endothelial growth factor (VEGF), interleukin (IL)-4, and IL-5 in lipopolysaccharide (LPS)-induced RAW 264.7 mouse macrophages. Methods : NO production was measured by Griess reagent assay. Intracellular calcium level was measured with Fluo-4 assay. Levels of cytokines were measured by High-throughput multiplex bead array cytokine assay based on xMAP (multi-analyte profiling beads) technology. Results : HC significantly decreased NO production for 24 hrs incubation at the concentrations of 10, 25, 50, 100, and $200{\mu}/mL$ in LPS-induced RAW 264.7 (P < 0.05). HC significantly decreased production of IP-10, KC, VEGF, and PDGF-BB for 24 hrs incubation at the concentrations of 50, 100, and $200{\mu}/mL$ in LPS-induced RAW 264.7 (P < 0.05). HC also significantly decreased intracellular calcium release for 24 hrs incubation at the concentrations of 25, 50, 100, and $200{\mu}/mL$ in LPS-induced RAW 264.7 (P < 0.05). But HC did not show any significant effect on production of IL-4 and IL-5 in LPS-induced RAW 264.7. Conclusions : The results suggested that HC has anti-inflammatory property related with its inhibition on the production of NO, IP-10, KC, VEGF, and PDGF-BB in LPS-induced macrophages via calcium pathway.