• Journal of applied mathematics & informatics
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• v.29 no.1_2
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• pp.293-309
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• 2011

The purpose of this article is to prove strong convergence theorems for weak relatively nonexpansive mapping which is firstly presented in this article. In order to get the strong convergence theorems for weak relatively nonexpansive mapping, the monotone CQ iteration method is presented and is used to approximate the fixed point of weak relatively nonexpansive mapping, therefore this article apply above results to prove the strong convergence theorems of zero point for maximal monotone operators in Banach spaces. Noting that, the CQ iteration method can be used for relatively nonexpansive mapping but it can not be used for weak relatively nonexpansive mapping. However, the monotone CQ method can be used for weak relatively nonexpansive mapping. The results of this paper modify and improve the results of S.Matsushita and W.Takahashi, and some others.

• Communications of the Korean Mathematical Society
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• v.25 no.4
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• pp.583-607
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• 2010

The purpose of this paper is to prove strong convergence theorems for common fixed points of two families of weak relatively nonexpansive mappings and a family of equilibrium problems by a new monotone hybrid method in Banach spaces. Because the hybrid method presented in this paper is monotone, so that the method of the proof is different from the original one. We shall give an example which is weak relatively nonexpansive mapping but not relatively nonexpansive mapping in Banach space $l^2$. Our results improve and extend the corresponding results announced in [W. Takahashi and K. Zembayashi, Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings, Fixed Point Theory Appl. (2008), Article ID 528476, 11 pages; doi:10.1155/2008/528476] and [Y. Su, Z. Wang, and H. Xu, Strong convergence theorems for a common fixed point of two hemi-relatively nonexpansive mappings, Nonlinear Anal. 71 (2009), no. 11, 5616?5628] and some other papers.

• Human Ecology Research
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• v.53 no.5
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• pp.489-502
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• 2015

This study identifies the relation between recognition relatively deprivation and consumption patterns. The data used were the seventh Korea Welfare Panel Study (KOWEPS). The final sample of 1,597 households was selected based on several sampling steps standard weights suggested by KOWEPS were applied. The final sample was subdivided into household recognizing relatively deprivation (51.7%) and non-household recognizing relatively deprivation (48.3%) per level of subjective income and objective income. We derived six consumption patterns from the cluster analysis as per consumption ratio: transportation dominant consumption pattern, essential consumption pattern, other dominant consumption pattern, care attention consumption pattern, private transfer consumption pattern, and education dominant consumption pattern. The results of this study are as follows. The analysis of the determinants of recognizing relatively deprivation in regards to question one found that the household was likely to be relatively deprived when: the head of a household was older, a household had a dual income, children and more total assets then those assessed 1 year ago compared to household living conditions, result of comparing the consumption patterns difference between household recognizing relatively deprivation and non-household recognizing relatively deprivation indicated that household recognizing relatively deprivation was more likely to belong to the transportation dominant consumption pattern, other dominant consumption pattern, and private transfer consumption pattern. The multinomial logistic analysis conducted to understand the determinants affecting the consumption patterns of household recognizing relatively deprivation indicated differences in demographic characteristics, household-related variables, financial variables and perception of economic conditions.

• Journal of applied mathematics & informatics
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• v.29 no.1_2
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• pp.87-102
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• 2011

The purpose of this paper is to prove strong convergence theorems for finding a common element of the set of fixed points of a weak relatively nonexpansive mapping and the set of solutions of the variational inequality for an inverse-strongly-monotone mapping by a new hybrid method in a Banach space. We shall give an example which is weak relatively nonexpansive mapping but not relatively nonexpansive mapping in Banach space $l^2$. Our results improve and extend the corresponding results announced by Ying Liu[Ying Liu, Strong convergence theorem for relatively nonexpansive mapping and inverse-strongly-monotone mapping in a Banach space, Appl. Math. Mech. -Engl. Ed. 30(7)(2009), 925-932] and some others.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2003.05a
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• pp.14-17
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• 2003

By Mazur's theorem, the convex hull of a relatively compact subset a Banach space is also relatively compact. But this is not true any more in the space of fuzzy numbers endowed with the Hausdorff-Skorohod metric. In this paper, we establish a necessary and sufficient condition for which the convex hull of K is also relatively compact when K is a relatively compact subset of the space F(R$\^$k/) of fuzzy numbers of R$\^$k/ endowed with the Hausdorff-Skorohod metric.

• East Asian mathematical journal
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• v.36 no.5
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• pp.555-560
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• 2020

We prove a new combination theorem for relatively hyperbolic groups by analyzing diagrams over HNN-extensions of relatively hyperbolic groups.

• Biomedical Science Letters
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• v.15 no.1
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• pp.9-15
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• 2009

Early age at menarche, which is indicator of early biological maturity, has been shown to be associated with increased adult body mass index. Early menarche has also been associated with many cardiovascular disease risk factors and metabolic syndrome. To evaluate the impact of menarche to cardiovascular risk factor, we assessed by age at menarche, brachial-ankle pulse wave velocity (baPWV), which represents arterial stiffness, in women with or without metabolic syndrome. The subjects recruited for this study were three hundred one women. Relatively early menarche and relatively late menarche were classified according to less than $50^{th}$ percentile for relatively early menarche, and great than the $50^{th}$ percentile for relatively late menarche. Subject were divided four group, 1) women who had not adulthood metabolic syndrome and relatively early menarche, 2) women who had not adulthood metabolic syndrome and relatively late menarche, 3) women who had adulthood metabolic syndrome and relatively early menarche, 4) women who had adulthood metabolic syndrome and relatively late menarche. Women who had a relatively early menarche with adulthood metabolic syndrome had significantly high levels of blood pressure, triglyceride, fasting insulin and homeostatic model assessment of insulin resistance (HOMA-IR) levels than women with late menarche with adulthood metabolic syndrome, and had significantly lower HDL-cholesterol levels. And also, women who underwent a relatively early menarche with metabolic syndrome had highest level of baPWV in adult. In this study we found effect of age at menarche on adulthood metabolic risk factors for cardiovascular disease (e.g., baPWV, insulin resistance, hyperlipidemia) in Korean women.

• Korean Journal of Mathematics
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• v.18 no.2
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• pp.105-118
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• 2010

The purpose of this paper is to consider an iterative method for an equilibrium problem and a family relatively nonexpansive mappings. Weak convergence theorems are established in uniformly smooth and uniformly convex Banach spaces.

• The Journal of Fisheries Business Administration
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• v.48 no.4
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• pp.67-81
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• 2017

The aims of this study is to analyze the purchasing behavior of customers purchasing seafood using internet shopping mall based on the sales data of Suhyup Shopping Mall in 2016. The research shows three facts. First, 46.1% of those customers marine products in Suhyup Shopping Mall are purchasing less than 2 times a year and 62.7% of them are purchasing less than 5 times a year. Seconds, The amount of purchases of marine products using Suhyup Shopping Mall is very small. The proportion of purchasers with less than ￦100,000 per year is 48.5%, and the proportion of customers with annual purchases of less than ￦300,000 is 68.2%. Last, Relatively strong items were found by region and age. Abortion was a relatively strong item in the 20s, and In the 30s, the aquatic product set was a relatively strong item. In the 60s are seashells / scallops / shellfish and other fish, 70s are dried yellow croaker, abalone, tile fish and other fish. In the 60s and 70s, the other fishes showed strong relative strengths in terms of quantity and amount. But There were no relatively strong items due to regional differences according to the metropolitan area and nonmetropolitan area.

• Journal of Korean Society of Forest Science
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• v.99 no.2
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• pp.251-257
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• 2010

Influences of environment (indicated by plant associations) and forest management practices on the distribution of Armillaria spp. and genets (vegetative clones) were investigated. A total of 142 isolates of Armillaria was collected from various host trees on pristine and managed sites (thinned and/or fertilized) growing in relatively wet and dry environments in eastern Washington, U.S.A. The incidence of Armillaria spp. was significantly higher in the relatively wetter sites than the relatively drier sites, as indicated by plant associations. However, no differences in Armillaria occurrence were found among different forest management practices (control vs. thinned vs. thinned and fertilized) within both wetter and drier sites. Incidence of Armillaria was significantly different among conifer and shrub species. The highest proportion with Armillaria was found on grand fir (Abies grandis). Based on pairing tests and rDNA sequencing, the 142 isolates were comprised in a total of 20 genets representing three Armillaria species. More diverse Armillaria spp. were found in both relatively wetter and relatively drier sites within the undisturbed control plots, compared to plots disturbed by forest management practices. The results from this study provide baseline information toward understanding how environment and forest management practices influence incidence and diversity of Armillaria species and genets.