• 제목/요약/키워드: Gamma-Map

검색결과 100건 처리시간 0.031초

WEAK AND STRONG CONVERGENCE TO COMMON FIXED POINTS OF NON-SELF NONEXPANSIVE MAPPINGS

  • Su, Yongfu;Qin, Xiaolong
    • Journal of applied mathematics & informatics
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    • 제24권1_2호
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    • pp.437-448
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    • 2007
  • Suppose K is a nonempty closed convex nonexpansive retract of a real uniformly convex Banach space E with P as a nonexpansive retraction. Let $T_1,\;T_2\;and\;T_3\;:\;K{\rightarrow}E$ be nonexpansive mappings with nonempty common fixed points set. Let $\{\alpha_n\},\;\{\beta_n\},\;\{\gamma_n\},\;\{\alpha'_n\},\;\{\beta'_n\},\;\{\gamma'_n\},\;\{\alpha'_n\},\;\{\beta'_n\}\;and\;\{\gamma'_n\}$ be real sequences in [0, 1] such that ${\alpha}_n+{\beta}_n+{\gamma}_n={\alpha}'_n+{\beta'_n+\gamma}'_n={\alpha}'_n+{\beta}'_n+{\gamma}'_n=1$, starting from arbitrary $x_1{\in}K$, define the sequence $\{x_n\}$ by $$\{zn=P({\alpha}'_nT_1x_n+{\beta}'_nx_n+{\gamma}'_nw_n)\;yn=P({\alpha}'_nT_2z_n+{\beta}'_nx_n+{\gamma}'_nv_n)\;x_{n+1}=P({\alpha}_nT_3y_n+{\beta}_nx_n+{\gamma}_nu_n)$$ with the restrictions $\sum^\infty_{n=1}{\gamma}_n<\infty,\;\sum^\infty_{n=1}{\gamma}'_n<\infty,\; \sum^\infty_{n=1}{\gamma}'_n<\infty$. (i) If the dual $E^*$ of E has the Kadec-Klee property, then weak convergence of a $\{x_n\}$ to some $x^*{\in}F(T_1){\cap}{F}(T_2){\cap}(T_3)$ is proved; (ii) If $T_1,\;T_2\;and\;T_3$ satisfy condition(A'), then strong convergence of $\{x_n\}$ to some $x^*{\in}F(T_1){\cap}{F}(T_2){\cap}(T_3)$ is obtained.

경상분지 남부지역의 지열 부존 잠재력 평가를 위한 퍼지기반 자료통합의 적용성 연구 (Applicability of Fuzzy Logic Based Data Integration to Geothermal Potential Mapping in Southern Gyeongsang Basin, Korea)

  • 박맹언;백승균;성규열
    • 자원환경지질
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    • 제40권3호
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    • pp.307-318
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    • 2007
  • 지열수의 부존은 화석열수계(fossil geothermal system)의 분포와 밀접한 연관성을 가지므로, 활발한 화석열수계에 의한 광역적인 열수변질대가 분포하는 경상분지 남부지역을 대상으로 GIS 공간통합기법을 적용한 지열 부존 잠재력을 탐사하였다. 연구방법은 화석열수계의 기원 및 분포와 관련된 지질 열수변질대, 열수형 광상 분포, 선구조 밀도, 항공자력도 등 주제도를 작성하고, 현행 온천 분포와의 상관성을 파악하여, 공간통합을 실시하였다. 그 결과 퍼지 연산자 중에서는 ${\gamma}$ 연산자(${\gamma}=0.1$)가 가장 높은 성공비율을 나타내었으며, 일부 지역에서 새로운 지열수 부존 가능성이 예상된다.

언샤프 마스킹과 감마 변환을 이용한 패치 기반의 다중 노출 영상 융합 (Patch based Multi-Exposure Image Fusion using Unsharp Masking and Gamma Transformation)

  • 김지환;최현호;정제창
    • 방송공학회논문지
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    • 제22권6호
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    • pp.702-712
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    • 2017
  • 본 논문에서는 신호 구조에 가중치 맵으로써 Laplacian을 이용한 언샤프 마스킹과 평균 밝기에 가중치 맵으로써 영상의 평균 밝기를 이용한 감마 변환 알고리듬을 제안하고자 한다. 패치를 기반으로 한 기존의 가중치 맵은 신호 구조 및 평균 밝기 영역에서 영상 내 밝기 값이 한쪽으로 치우쳐 세부 정보가 손실되는 단점이 있다. 본 논문에서는 패치 단위의 언샤프 마스킹을 이용하여 세부정보를 향상시켰고, 전역적 및 지역적 영상의 평균 밝기 값을 이용하여 감마 변환된 값을 선형 결합한 기법을 제안한다. 제안하는 알고리듬은 영상 내 윤곽선과 같은 세부 정보를 보존시키고 빛의 밝기 조절을 통해 주관적 화질을 향상시켰다. 실험 결과를 통해 기존 알고리듬에 비해 제안한 알고리듬이 우수한 성능을 나타내는 것을 확인하였다.

Blockade of p38 Mitogen-activated Protein Kinase Pathway Inhibits Interleukin-6 Release and Expression in Primary Neonatal Cardiomyocytes

  • Chae, Han-Jung;Kim, Hyun-Ki;Lee, Wan-Ku;Chae, Soo-Wan
    • The Korean Journal of Physiology and Pharmacology
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    • 제6권6호
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    • pp.319-325
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    • 2002
  • The induction of interleukin-6 (IL-6) using combined proinflammatory agents $(LPS/IFN-{\gamma}\;or\;TNF-{\alpha}/IFN-{\gamma})$ was studied in relation to p38 mitogen-activated protein kinase (MAPK) and $NF-{\kappa}B$ transcriptional factor in primary neonatal cardiomyocytes. When added to cultures of cardiomyocytes, the combined agents $(LPS/IFN-[\gamma}\;or\;TNF-{\alpha}/IFN-{\gamma})$ had stimulatory effect on the production of IL-6 and the elevation was significantly reduced by SB203580, a specific p38 MAPK inhibitor. SB203580 inhibited protein production and gene expression of IL-6 in a concentration-dependent manner. In this study, $IFN-{\gamma}$ enhancement of $TNF-{\alpha}-induced\;NF-{\kappa}B$ binding affinity as well as p38 MAP kinase activation was observed. However, a specific inhibitor of p38 MAPK, SB203580, had no effect on $TNF-{\alpha}/IFN-{\gamma}\;or\;LPS/IFN-{\gamma}-induced\;NF-{\kappa}B$ activation. This study strongly suggests that these pathways about $TNF-{\alpha}/IFN-{\gamma}$ or $LPS/IFN-{\gamma}-activated$ IL-6 release can be primarily dissociated in primary neonatal cardiomyocytes.

ACTIVATION OF P38 MAP KINASE AND AP-1 DURING THE PROMOTION OF NEURITE EXTENSION OF PC-12 CELLS BY 15-DEOXY-$\Delta$12,14-PROSTAGLANDIN J2

  • Song, Y.S.;Oh. J.H.;Park, K.S.;Jung, K.M.;Lee, M.K.;Jung, H.K.;Jung, S.Y.;Hong, J.T.
    • 한국독성학회:학술대회논문집
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    • 한국독성학회 2002년도 Current Trends in Toxicological Sciences
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    • pp.110-110
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    • 2002
  • 15-Deoxy-$\Delta$12, 14-prostaglandin J2 (15-deoxy-PGJ2), a naturally occurring ligand activates the peroxisome proliferator-activated receptor-$\gamma$(PPAR-$\gamma$). It was known to have promoting ability of nerve growth factor(NGF)-induced neurite extension. However, it is not clear yet as to what signaling pathway is involved in its promoting ability of neurite extension.(omitted)

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RECURSIVE PROPERTIES OF A MAP ON THE CIRCLE

  • Cho, Seong-Hoon;Min, Kyung-Jin;Yang, Seung-Kab
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제2권2호
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    • pp.157-162
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    • 1995
  • Let I be the interval, $S^1$ the circle and let X be a compact metric space. And let $C^{circ}(X,\;X)$ denote the set of continuous maps from X into itself. For any f$f\in\;C\circ(X,\;X),\;let\;P(f),\;R(f),\;\Gamma(f),\;\Lambda(f)\;and\;\Omega(f)$ denote the collection of the periodic points, recurrent points, ${\gamma}-limit{\;}points,{\;}{\omega}-limit$ points and nonwandering points, respectively.(omitted)

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MAPPING CLASS GROUP OPERAD

  • Jeong, Chan-Seok;Song, Yongjin
    • Korean Journal of Mathematics
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    • 제9권2호
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    • pp.157-164
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    • 2001
  • We construct an operad which is called the mapping class group operad. Its structure map is induced by the attachings of surfaces. The similar operad was constructed by Tillmann in order prove that ${\Gamma}^+_{\infty}$ is an infinite loop space. Our operad is rather simpler and easier to deal with.

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FIXED POINTS OF BETTER ADMISSIBLE MAPS ON GENERALIZED CONVEX SPACES

  • Park, Se-Hie
    • 대한수학회지
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    • 제37권6호
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    • pp.885-899
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    • 2000
  • We obtain generalized versions of the Fan-Browder fixed point theorem for G-convex spaces. We define the class B of better admissible multimaps on G-convex spaces and show that any closed compact map in b fro ma locally G-convex uniform space into itself has a fixed point.

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

  • Kim, Hoonjoo
    • 충청수학회지
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    • 제34권4호
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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.

ON CONJUGATE POINTS OF THE GROUP H(2, 1)

  • Jang, Chang-Rim;Park, Keun;Lee, Tae-Hoon
    • East Asian mathematical journal
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    • 제22권2호
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    • pp.249-257
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    • 2006
  • Let n be a 2-step nilpotent Lie algebra which has an inner product <,> and has an orthogonal decomposition $n=\delta{\oplus}\varsigma$ for its center $\delta$ and the orthogonal complement $\varsigma\;of\;\delta$. Then Each element Z of $\delta$ defines a skew symmetric linear map $J_Z:\varsigma{\rightarrow}\varsigma$ given by $=$ for all $X,\;Y{\in}\varsigma$. Let $\gamma$ be a unit speed geodesic in a 2-step nilpotent Lie group H(2, 1) with its Lie algebra n(2, 1) and let its initial velocity ${\gamma}$(0) be given by ${\gamma}(0)=Z_0+X_0{\in}\delta{\oplus}\varsigma=n(2,\;1)$ with its center component $Z_0$ nonzero. Then we showed that $\gamma(0)$ is conjugate to $\gamma(\frac{2n{\pi}}{\theta})$, where n is a nonzero intger and $-{\theta}^2$ is a nonzero eigenvalue of $J^2_{Z_0}$, along $\gamma$ if and only if either $X_0$ is an eigenvector of $J^2_{Z_0}$ or $adX_0:\varsigma{\rightarrow}\delta$ is not surjective.

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