• Proceeding of Spring/Autumn Annual Conference of KHA
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• 2009.11a
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• pp.240-244
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• 2009

The purpose of this study is to provide basic data needed for planning apartment community spaces in order to vitalize rental apartments. Indoors community spaces of six rental apartments in Seoul and Gyung-gi were examined. The results are as follows. First, layout types of community spaces in rental apartment complexes were researched and it was found that there are singular types and block types. Depending on the layout type, the space could function as an element to closely associate residents with each other. Second, child care spaces were planned to conveniently utilize the space with space plans, and furniture and appliance plans adjusted for children's characteristics. On the contrary, elderly spaces lacked exercise equipment and subsidiary facilities, and educational spaces caused inconvenience as they did not take into consideration the user characteristics. Third, although indoor community spaces of rental apartment complexes were planned to hold child care spaces, elderly spaces, educational spaces, and neighborhood spaces according to the legal standards of installation, the operation of these facilities were problematic.

• Communications of the Korean Mathematical Society
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• v.10 no.1
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• pp.67-83
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• 1995

The notion of probabilistic metric spaces (or statistical metric spaces) was introduced and studied by Menger [19] which is a generalization of metric space, and the study of these spaces was expanede rapidly with the pioneering works of Schweizer-Sklar [25]-[26]. The theory of probabilistic metric spaces is of fundamental importance in probabilistic function analysis. For the detailed discussions of these spaces and their applications, we refer to [9], [10], [28], [30]-[32], [36] and [39].

• Nonlinear Functional Analysis and Applications
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• v.26 no.5
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• pp.971-983
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• 2021

In this paper, we prove common fixed point theorems for six weakly compatible mappings in G-fuzzy metric spaces introduced by Sun and Yang [16] which is actually generalization of G-metric spaces. G-metric spaces coined by Mustafa and Sims [13]. The paper concerns our sustained efforts for the materialization of G-fuzzy metric spaces and their properties. We also exercise the concept of symmetric G-fuzzy metric space, 𝜙-function and weakly compatible mappings. The results present in this paper generalize the well-known comparable results in the literature. We justify our results by suitable examples. Some applications are also given in support of our results.

• International Journal of Advanced Culture Technology
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• v.12 no.3
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• pp.13-20
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• 2024

I investigated the relationship between social support, environmental factors, and color design within the public spaces of healthcare facilities. Through a comprehensive literature review and case studies from major hospitals in the United States, the United Kingdom, and Scotland, I explored how these elements contribute to public spaces' overall concept and function. The study emphasizes the need to establish a clear relationship between the social functions of these spaces and their physical and environmental characteristics. By examining theoretical frameworks and observed examples, I analyzed the impact of color design and the integration of internal and external spaces. The findings highlight that well-designed spaces, especially those utilizing effective color schemes and connecting indoor and outdoor areas, enhance user satisfaction and support healing processes. The results underscore the importance of communal spaces in healthcare facilities for psychological and social healing. I conclude that these spaces should be intentionally designed to foster social interactions among patients and visitors by improving pedestrian accessibility and incorporating social support structures.

• Journal of the Korean Institute of Rural Architecture
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• v.15 no.4
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• pp.43-50
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• 2013

This study is to clarify the characteristics and its change of spatial elements for community focused on the existing 22 old settlements in urban area of Cheongju. These community spaces are mainly divided into three parts, that is central space, inner road, and blind alley(cul-de-sac). The transitional characteristics of them are as follows. Firstly, the characteristics of central spaces is lasting, but the function is influenced by changing times. The function of central spaces located at the entrance to the village had been reduced to adjustments to modern lifestyle, and currently changed into senior citizen community center, supermarket, and public area. Secondly, as the width of the existing inner roads passed through old settlements had been extended, they are changed into pedestrian and traffic road, but the shape and function of them have been maintained. When new roads passed through old settlements had been established, the shape of old inner roads is disappeared, and the function of them is changed into byway and alley. Thirdly, cul-de-sacs of old settlements have tended to create a sense of community, but new cul-de-sacs formed by lot division have been only changed to passage. When new roads are established and cul-de-sacs are changed into alleys, the community between individual households is lost.

• Journal of the Chungcheong Mathematical Society
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• v.9 no.1
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• pp.77-87
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• 1996

For any map $v:X{\rightarrow}Y$, the generalized Gottlieb set $G({\Sigma}A;X,v,Y)$ with respect to v is a subgroup of $[{\Sigma}A,Y]$. If $v:X{\rightarrow}Y$ has a left homotopy inverse $u:X{\rightarrow}Y$, then for any $f{\in}G({\Sigma}A;X,v,Y)$, $g{\in}G({\Sigma}A;X,u,Y)$, the function spaces $L({\Sigma}A,X;uf)$ and $L({\Sigma}A,X;g)$ have the same homotopy type.

• Honam Mathematical Journal
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• v.32 no.1
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• pp.29-43
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• 2010

In this note, by using the fixed point method, we prove the generalized stability for a mixed type functional equation in random normed spaces of which the general solution is either cubic or quadratic.

• Journal of applied mathematics & informatics
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• v.26 no.3_4
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• pp.591-603
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• 2008

We employ the notion of implicit functions to prove a general common fixed point theorem in fuzzy metric spaces besides adopting the idea of R-weak commutativity of type (P) in fuzzy setting. In process, several previously known results are deduced as special cases to our main result.

• Communications of the Korean Mathematical Society
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• v.24 no.2
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• pp.187-195
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• 2009

We investigate the boundary values of the holomorphic mean Lipschitz function. In fact, we prove that the admissible limit exists at every boundary point of the unit ball for the holomorphic mean Lipschitz functions under some assumptions on the Lipschitz order. Moreover, we get embedding theorems of holomorphic mean Lipschitz spaces into Hardy spaces or into the Bloch space on the unit ball in $\mathbb{C}_n$.

• The Pure and Applied Mathematics
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• v.2 no.1
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• pp.31-34
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• 1995

Let R$^n$be n-th Euclidean space. Let be the n-th spere embeded as a subspace in R$\^$n+1/ centered at the origin. In this paper, we are going to consider the function space F = {f│f : S$^n$\longrightarrow S$^n$} metrized by as follow D(f,g)=d(f($\chi$), g($\chi$)) where f, g $\in$ F and d is the metric in S$^n$. Finally we want to find certain relation these spaces.(omitted)