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ISHIKAWA AND MANN ITERATIVE PROCESSES WITH ERRORS FOR NONLINEAR $\Phi$-STRONGLY QUASI-ACCRETIVE MAPPINGS IN NORMED LINEAR SPACES

  • Zhou, H.Y.;Cho, Y.J.
    • Journal of the Korean Mathematical Society
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    • v.36 no.6
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    • pp.1061-1073
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    • 1999
  • Let X be a real normed linear space. Let T : D(T) ⊂ X \longrightarrow X be a uniformly continuous and ∮-strongly quasi-accretive mapping. Let {${\alpha}$n}{{{{ { }`_{n=0 } ^{$\infty$ } }}}} , {${\beta}$n}{{{{ { }`_{n=0 } ^{$\infty$ } }}}} be two real sequences in [0, 1] satisfying the following conditions: (ⅰ) ${\alpha}$n \longrightarrow0, ${\beta}$n \longrightarrow0, as n \longrightarrow$\infty$ (ⅱ) {{{{ SUM from { { n}=0} to inf }}}} ${\alpha}$=$\infty$. Set Sx=x-Tx for all x $\in$D(T). Assume that {u}{{{{ { }`_{n=0 } ^{$\infty$ } }}}} and {v}{{{{ { }`_{n=0 } ^{$\infty$ } }}}} are two sequences in D(T) satisfying {{{{ SUM from { { n}=0} to inf }}}}∥un∥<$\infty$ and vn\longrightarrow0 as n\longrightarrow$\infty$. Suppose that, for any given x0$\in$X, the Ishikawa type iteration sequence {xn}{{{{ { }`_{n=0 } ^{$\infty$ } }}}} with errors defined by (IS)1 xn+1=(1-${\alpha}$n)xn+${\alpha}$nSyn+un, yn=(1-${\beta}$n)x+${\beta}$nSxn+vn for all n=0, 1, 2 … is well-defined. we prove that {xn}{{{{ { }`_{n=0 } ^{$\infty$ } }}}} converges strongly to the unique zero of T if and only if {Syn}{{{{ { }`_{n=0 } ^{$\infty$ } }}}} is bounded. Several related results deal with iterative approximations of fixed points of ∮-hemicontractions by the ishikawa iteration with errors in a normed linear space. Certain conditions on the iterative parameters {${\alpha}$n}{{{{ { }`_{n=0 } ^{$\infty$ } }}}} , {${\beta}$n}{{{{ { }`_{n=0 } ^{$\infty$ } }}}} and t are also given which guarantee the strong convergence of the iteration processes.

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Relationship between the Distribution of Water Masses and that of Demersal Fishes in the East China Sea in Spring

  • Cho Kyu Dae;Kim Hee Yong
    • Fisheries and Aquatic Sciences
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    • v.3 no.1
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    • pp.14-22
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    • 2000
  • The relationship between the distribution of demersal fishes and that of the water masses was examined by using the catches data and hydrographic data in the Yellow Sea and the East China Sea on May 13-19, 1996 and May 10-17, 1997. During the study period, the dominant fish species were Cleisthenes pinetorum herzinsteini, Lophiomus setigerus and Pseudosciaena polyactis. These three low temperature water species accounted for $21-24\%$ of the total catches. The percentage of the low temperature water species was high in the Yellow Sea and the coastal area on the continental shelf of the East China Sea but was low in the vincinity of Kyushu during the study period. In the East China Sea, the isotherm of $15^{\circ}C$ at 50m, mid layer depth, was located more southeast in 1996 than in 1997. The bottom water temperature was about it lower in 1996 than in 1997. The direction of the detided current on the continental shelf of the East China Sea was southward in 1996 and northward in 1997. Yellow Sea Bottom Cold Water (YSBCW) strongly expanded to south in 1996 when the northward current was weak. But, Tsushima Warm Current (TSWC) strongly intruded into the continental shelf of the East China Sea in 1997. As YSBCW expanded strongly to south in 1996, the percentage of the low temperature water species relative to the total catches was high. But, TSWC strongly intruded and the percentage of low temperature water fishes was low in 1997.

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A Study on the Perceptions and Attitudes of Middle and High School Students towards Family Meals (중.고등학생의 가족 식사에 대한 인식과 태도 연구)

  • Lee, Ki-Wan;Cho, Yong-Ju
    • Journal of the East Asian Society of Dietary Life
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    • v.17 no.5
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    • pp.615-625
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    • 2007
  • This study investigated the overall conditions related to family meals, including perceptions, attitudes, and behaviors, among middle and high school students. The data were collected from 773 male and female students attending middle and high schools in Seoul and Kyunggi-Do from March to May 2006, using pre-tested self-administered questionnaires. The results are as follows: 78.9% of the subjects lived with their parents and siblings, and 75.7% regarded family meals as meals eaten with all family members living together in a household. As for the frequency of family meals, 40.1% of the middle school subjects answered that they ate with their family 'more than once per day' and 20.8% answered '1 or 2 time per a week'. However 21.0% of the high school students had family meals 'more than once per day', and 31.7% had family meals '1 or 2 times per a week', showing a significant difference between the groups(p<0.001). When the degree of satisfaction with life was evaluated using a Likert scale(strongly satisfied 5 point, strongly unsatisfied 1 point), the middle school students showed a significantly higher level of satisfaction than the high school students towards daily life, health, nutritive conditions, and family care. feelings, attitudes, and behaviors toward family meals were also evaluated(strongly agree 5 point, strongly disagree 1 point), and the results showed that the subjects had positive psychological feelings, with significant differences based on the frequency of family meals. Likewise, the groups who ate frequent family meals scored higher on aspects related to having positive attitudes and behaviors toward the family meal, implying that eating family meals is associated with promoting friendship, psychological stability, and positive thinking in adolescents. These findings suggest that attention needs to he directed toward increasing the frequency of family meals and creating a positive family meal environment.

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Histochemical Study of Musocubstances in Esophageal Mucous Cells of Sebastes schlegli, Halichoeres poecilopterus, Bryzoichtys lysimus and Takifugu pardalis (조피볼락, 용치놀래기, 송곳니베도라치 및 졸복 식도 점액세포의 점액질에 대한 조직화학적 연구)

  • 정길남;정권순;조기진;조운복
    • Journal of Life Science
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    • v.11 no.6
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    • pp.595-602
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    • 2001
  • The prelectin histochemical methods had been applied to study mucosubstances properties of esophageal mucous cells in four teleostean species, i, e.. sebastes schlegli, Halichoeres poecilopterus, Bryzoichtys lysimus and Takifugu pardalis. The following methods were used: periodic acid Scheff"s(PAS) reaction, alcian blue(AD) pH 2.5, AB pH 1.0, AB pH 2.5-PAS, aldehyde fuchsin (AF) pH 1.7-AB pH 2.5 and high iron diamine (HID)-AD pH 2.5 stainings. The number size and shape of esophasgeal mucous cells studied depend on the fish species. Esophageal mucous cells of Sebastes schlegli and Halichoeres poecilopterus were mixed with large, medium sized and small mucous cells, but these cells of the species were mixed with medium sized and small mucous cells. The large esophageal with moderate to considerable amount of acid mucin. Most of the large mucous cells in these species contained neutral mucin and strongly sulfomucin, whereas a few mucous cells contained neutral mucin, strongly sulfomucin, and sialomucin. Medium sized and small mucous cells of these species contained considerable to large amount of neutral mucin, and small to considerable amount of acid mucin, Most of the medium sized and small mucous cells contained neutral mucin and sialomucin, but a few mucous cells contained neutral mucin and strongly sulfomucin or neutral combined with strongly sulfomucin and sialomucin. Most of the esophageal mucous cells pf Bryzoichthys lysimus contained small amount of neutral mucin, while on the other hand a feww mucous cells contained small amount of neutral mucin and minimal amount of sialomucin. But the esophageal mucous cells of Takifugu pardalis contained considerable amount of neutral mucin only.

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ON A RING PROPERTY UNIFYING REVERSIBLE AND RIGHT DUO RINGS

  • Kim, Nam Kyun;Lee, Yang
    • Journal of the Korean Mathematical Society
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    • v.50 no.5
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    • pp.1083-1103
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    • 2013
  • The concepts of reversible, right duo, and Armendariz rings are known to play important roles in ring theory and they are independent of one another. In this note we focus on a concept that can unify them, calling it a right Armendarizlike ring in the process. We first find a simple way to construct a right Armendarizlike ring but not Armendariz (reversible, or right duo). We show the difference between right Armendarizlike rings and strongly right McCoy rings by examining the structure of right annihilators. For a regular ring R, it is proved that R is right Armendarizlike if and only if R is strongly right McCoy if and only if R is Abelian (entailing that right Armendarizlike, Armendariz, reversible, right duo, and IFP properties are equivalent for regular rings). It is shown that a ring R is right Armendarizlike, if and only if so is the polynomial ring over R, if and only if so is the classical right quotient ring (if any). In the process necessary (counter)examples are found or constructed.

Screening for Antifungal Medicinal Plants Controlling the Soil Borne Pathogen, Pythium ultimum (토양병원균(土壤病原菌) Pythium ultimum 방제(防除)를 위한 항균성(抗菌性) 약용식물(藥用植物)의 탐색)

  • Paik, Su-Bong;Oh, Yeon-Sun
    • The Korean Journal of Mycology
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    • v.18 no.2
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    • pp.102-108
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    • 1990
  • In order to find out the effect of medicinal plant extracts on germination of zoosporan-gium and mycelium growth of Pythium ultimum, this study was carried out. Among 28 species in 16 families of plants tested, plant extracts from 9 species were strongly inhibitory to zoosporan-gium germination of P. ultimum. Plant extracts from 3 species were strongly inhibitory to mycellium growth of P. ultimum. Especially, Paeonia suffruticosa was strongly inhibitory. P. suffruticosa was shown a strong control effect on damping-off of sesame by P. ultimum sesame, but no effect on cucumber. Seed germination of sesame and cucumber was shown phyto-alexin by extract of Phytolacca esculenta.

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The Spatial Disparity between Supply and Demand of Volunteering Activities in Daegu, South Korea (대구시 자원봉사활동의 수요.공급간 공간불균형)

  • Lee, Eun-Jung;Lee, Chul-Woo
    • Journal of the Korean association of regional geographers
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    • v.12 no.5
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    • pp.557-570
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    • 2006
  • This study attempts to analyze the spatial disparity between supply and the demand of volunteering activities in Daegu, South Korea. The spatial disparity of volunteering activities has been strongly influenced by the residental disparity in terms of socio-economic level. The ratio of volunteers is mostly determined by income and education level that strongly impact the spatial distribution of residential area. The regional difference of ratio of volunteers is greater among Gu districts than in Dong level. The recipients for the volunteering activities have been likely to reside in a particular area within a Gu district; so, regional difference of the recipients was severe in dong level rather than Gu level. It is strongly recommended to exchange volunteers among regions to reduce the spatial disparity between the volunteers and the recipients.

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A Study on Purchase Behavior and Design Preference of Luxury Hand Bag Users aged 20 to 30 by Lifestyle and Age Variable (20-30대 명품 핸드백 소유자를 대상으로 라이프스타일과 연령에 따른 구매행동 및 디자인 선호도 분석)

  • Kim, Chil-Soon;Lee, Jin
    • Fashion & Textile Research Journal
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    • v.13 no.6
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    • pp.827-837
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    • 2011
  • The purpose of this study was to observe premium handbag users who are 20 to 30 year old of age, to determine purchase behavior and design preference of handbags by lifestyle and age variable to help market segmentation. A survey instrument was used. A sample was selected by quota sampling method from 20 to 30 aged Korean women, and reliable 538 data were analyzed by SPSS. Cluster type towards lifestyle and age were independent variable. There are two types of lifestyle clusters toward luxury handbags; Strongly favored and weakly favored group toward luxury handbags. Strongly favored group of luxury goods considered more brand, country of origin, and trend, while young people considered more new arrival of design in purchase of products. Preferred design type of hand bag was statistically associated with age variable. 20s consumers preferred shopper bag style and big size of handbags. Leather was preferred by the group of the strongly favored luxury goods. Through this research finding, we hope handbag brand market segmentation will be based on lifestyle and age variable to reflect customer's demand.

CONVERGENCE AND ALMOST STABILITY OF ISHIKAWA ITERATION METHOD WITH ERRORS FOR STRICTLY HEMI-CONTRACTIVE OPERATORS IN BANACH SPACES

  • Liu, Zeqing;Ume, Jeong-Sheok;Kang, Shin-Min
    • The Pure and Applied Mathematics
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    • v.11 no.4
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    • pp.293-308
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    • 2004
  • Let K be a nonempty convex subset of an arbitrary Banach space X and $T\;:\;K\;{\rightarrow}\;K$ be a uniformly continuous strictly hemi-contractive operator with bounded range. We prove that certain Ishikawa iteration scheme with errors both converges strongly to a unique fixed point of T and is almost T-stable on K. We also establish similar convergence and almost stability results for strictly hemi-contractive operator $T\;:\;K\;{\rightarrow}\;K$, where K is a nonempty convex subset of arbitrary uniformly smooth Banach space X. The convergence results presented in this paper extend, improve and unify the corresponding results in Chang [1], Chang, Cho, Lee & Kang [2], Chidume [3, 4, 5, 6, 7, 8], Chidume & Osilike [9, 10, 11, 12], Liu [19], Schu [25], Tan & Xu [26], Xu [28], Zhou [29], Zhou & Jia [30] and others.

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Kinetics and Mechanism of the Pyridinolysis of O,O-Dimethyl S-Aryl Phosphorothioates in Dimethyl Sulfoxide

  • Barai, Hasi Rani;Lee, Hai-Whang
    • Bulletin of the Korean Chemical Society
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    • v.32 no.7
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    • pp.2339-2344
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    • 2011
  • Kinetic studies for the reactions of O,O-dimethyl Z-S-aryl phosphorothioates with X-pyridines have been carried out in dimethyl sulfoxide at 85.0 $^{\circ}C$. The Hammett and Br$\"{o}$nsted plots for substituent X variations in the nucleophiles are biphasic concave upwards with a break point at X = H, while those for substituent Z variations in the leaving groups are linear. The negative sign of the cross-interaction constant (${\rho}_{XZ}$) implies that the reaction proceeds through a concerted mechanism for both the strongly and weakly basic pyridines. The magnitude of ${\rho}_{XZ}$ (= -0.35) for the strongly basic pyridines is greater than that (${\rho}_{XZ}$ = -0.15) for the weakly basic pyridines, indicating a change of the nucleophilic attacking direction from frontside for the strongly basic pyridines to backside for the weakly basic pyridines. The early transition state is proposed on the basis of the absence of positive deviations from both the Hammett and Br$\"{o}$nsted plots for the strong ${\pi}$-acceptor, X = 4-Ac, and small values of ${\rho}_{XZ}$ and ${\beta}_X$.