• Journal of the Korean Mathematical Society
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• v.53 no.5
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• pp.1037-1056
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• 2016

In this paper, we define the concepts of commute proximally, dominate proximally, weakly dominate proximally, proximal generalized ${\varphi}$-contraction and common best proximity point in probabilistic Menger space. We prove some common best proximity point and common fixed point theorems for dominate proximally and weakly dominate proximally mappings in probabilistic Menger space under certain conditions. Finally we show that proximal generalized ${\varphi}$-contractions have best proximity point in probabilistic Menger space. Our results generalize many known results in metric space.

• Journal of the Architectural Institute of Korea Planning & Design
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• v.35 no.4
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• pp.45-52
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• 2019

The most ordinary form of residential type in Korea is a plate-type apartment, and the common space in these apartment is attracting as an important factor for enhancing social exchanges among neighbors and forming community consciousness. In addition, it provides a sense of psychological security by enabling natural exchanges and communication in contemporary society. It is desirable to plan the flow of space in such a way that private, semi-private, semi-public, and public spaces are linked. Semi-private and semi-public spaces can be defined as common spaces. Semi-private spaces are strongly recognized in the order of unit household entrance, main entrance, elevator, corridor, staircase, playground, bench, trail, walkway and parking lot, exercise space, main/back gate, the ability to gratify is increased sense of belonging, ownership consciousness formation, defensive function. Semi-public space is strongly recognized in the order of playground, bench, exercise space, trail, main entrance, walkway and parking lot, unit household entrance, main/back gate, corridor, staircase, elevator, the ability to gratify is increase of social contact, Secondary activity space function. In addition, the function to gratify in the common space differs according to gender and age group among resident characteristics, and differs according to corridor type, parking lot type and main entrance type. Therefore, differentiated planning of common space is needed in consideration of these differences in the design of common space in future.

• Proceeding of Spring/Autumn Annual Conference of KHA
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• 2005.11a
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• pp.89-92
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• 2005

The purpose of this study was to clarify the space use pattern and the daily living activities of the elderly with dementia in the common space (living room) of nursing home. The subjects were 2 units(living room) of the nursing home. For this, researcher visited from June 20 to July 2 and collected data by observations of behavior of the elderly with dementia in common space(living room) and interviews with staff for the information about basic characteristics of the elderly with dementia and administration and operation of the facilities. The data were analyzed using the frequency and percentage. The results revealed as follows: first, the daily living activities of the elderly with dementia in common space tended to focus on self-concentration type and physical environment-interest type. Second, physical environmental -interest type. Second, physical environmental characteristics of common space affected space usage pattern of the elderly with dementia. And it was perceived like as living oriented space, social interaction space, facility space, staff oriented space. Conclusively it was suggested to plan dining space as semi-private space, day corner as semi-public space.

• Journal of the Korean Institute of Educational Facilities
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• v.18 no.3
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• pp.43-51
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• 2011

The purpose of this study is to analyze the characteristic of common space of public schools in New York City and how the common space can perform a decisive role in enriching public space not as simply connecting between programs but as common space for a wide range of uses for communities as well as students. This study illustrates with a general design guideline of SCA(School of Construction Authority) and how the rules help the common space as an interactive link between community and site/site and school building/building and outdoor space/outdoor space and lobby in the urban context. Since its founding in New York City, 1958, Mitchell/Giurgola Architects office has dedicated itself to working with institutions and public and private schools for 50 years and has been working with SCA for 10 public schools since 1990. Through five school examples by Mitchell Giurgola architects, the study describes how the office suggests public "place" interweaving inner public space and outer public space through lobbies. A result of this research can be proposed what improvements should be made on common space in domestic schools by analyzing of positive aspects of SCA schools.

• Journal of the Korean Institute of Educational Facilities
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• v.24 no.6
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• pp.55-64
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• 2017

This study analyzes the common space of the high schools before and after the decade of 2009 which starts Subject-centered clusters school plan, and proposes the direction of common space planning for the future. Based on the floor plans of high schools awarded as excellent school facilities every year, first, types and numbers of common space, second, area ratio between common space and program space and also moving space and staying space, third, space connections were analyzed for tracking the change of the relationship between common, staying and program spaces. The study results demonstrated that types, numbers and area ratio of the common space were increased as the years go on. Especially, the area ratio of staying space was dramatically increased after 2009 and this result was caused by the home-base, alcove space, and hall that were adopted for subject-centered clusters planning after 2009. Connecting diagram of staying area and program spaces also shows the spaces related to staying area were changed from a classrooms and administrative office etc. to a library, gym, and seminar rooms etc. In case of staying area, it would have a value as a common space for various student activities such as group activities, meetings, and multi-uses. Because student activities would be changed and encouraged depending on the location, sizes and program spaces around staying area, it should be emphasized that the planning for staying area is critical for future school design.

• KIEAE Journal
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• v.9 no.2
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• pp.37-42
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• 2009

Eco-village is emerging as one of housing styles in the modern age. The common space in Eco-village uses environment-friendly materials while residents appear to aspire to a community. The common space in Eco-village offers a place of interchange and interaction for both visitors and residents as a transit area connecting dwelling units. It also forms the sense of community and serves as a space that builds friendly relations among residents. However, there seems to be a lack of research compare to its various roles and importance for this common space, which is an significant factor in establishing Eco-village plans. The purpose of this study is to provide research data by creating a layout drawing of Eco-village and reveal the characteristics of space boundary and practical use of common space through case studies on villages. This will serve as actual data in designing common space which would correspond to the purpose of Eco-village planning.

• Korean Institute of Interior Design Journal
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• v.27 no.3
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• pp.126-135
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• 2018

In the 1960s, rapid urbanization and industrialization created the social atmosphere of individualism in Korea. Individualism has weakened social ties, led to the breakdown of communities, and caused various social problems. So, the paradigm is shifting to a shared society and there are moves to seek ways to solve social problems through community. As part of the initiative, the value and importance of common space in multi-unit dwelling, the typical Korean housing type, is increasing. Thus, the purpose of this study is to identify the trends of domestic research about common space, to assess the current state of domestic academic world and explore the future plans of the common space. The content analysis method was mainly used and statistics were additionally used to analyze 172 preceding research. As a result, research on common spaces showed a steady increase to the current time. And research was being diversified in the field of publishing journals, research contents, research methods and facilities. Until now, most studies have focused on improvement of plan and the quality of common space by identifying the attitude survey, space planning, and the actual situation. Thus many more studies about proper way to operate and manage common space need to be conducted. it is considered that the common space will develop more efficiently. The study is expected to be used as groundwork for the development of the common space and serve as concrete data to show future development directions.

• Journal of the Korean housing association
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• v.25 no.4
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• pp.125-133
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• 2014

The purpose of this study was to find the role of participation in common activities and satisfaction with common space in a tentative housing adjustment framework for Swedish cohousing residents, applying the housing adjustment behavior model of Morris and Winter (1978, 1996). The data used for this research were a subset of data Choi and Paulsson (2011) surveyed from 12 Swedish cohousing units. Number of 216 cases whose age was 40 and over were selected and analyzed with Pearson correlations and hierarchical linear regressions by SPSS. The regression analyses included four main concepts as endogenous variables, which were participation in common activities, satisfaction with common space, overall life satisfaction, and intention to move out. The results showed that participation in common activities raised satisfaction with common space and overall life satisfaction but reduced intention to move out. Meanwhile, satisfaction with common space diminished intention to move out but did not impact overall life satisfaction. When overall life satisfaction was added to the final regression model, the direct impacts of security reasons, participation in common activities, and satisfaction with common space on intention to move out disappeared. It may be concluded that participation in common activities and satisfaction with common space acted as intervening variables in the tentative cohousing adjustment framework. Even though this study leaves further research on specifying the framework, it may be noteworthy as a first attempt that explains the flow of main concepts. This study may broaden the possibility of empirical studies to develop an analytical path model of housing adjustment for cohousing residents.

• The Pure and Applied Mathematics
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• v.12 no.1
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• pp.17-31
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• 2005

In this paper we prove common fixed point theorems for three mappings under the condition of weak compatible mappings, without taking any function continuous in fuzzy metric space and then extend this result to fuzzy 2-metric space and fuzzy 3-metric space.

• Korean Institute of Interior Design Journal
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• v.13 no.6
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• pp.184-195
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• 2004

The purpose of this study was to clarify the space use pattern and the daily living activities of the elderly with dementia in the common space (dining room, day corner) of nursing home in Japan. The subjects were six units of the 2 nursing homes in Tokyo. For this, researcher visited from September 5 to December 5 and collected data by observations of behavior of the elderly with dementia in common space and interviews with staff for the information about basic characteristics of the elderly with dementia and administration and operation of the facilities. The data were analyzed using the frequency and percentage with SPSS 11 program and recorded in the form of behavior map. The results revealed as follows: first, 6 types (self-concentration type, physical environment-interest type, passive others-interest type, staffs-interaction type, other elderly-interaction type, visitors-interaction type) of the daily living activities of the elderly with dementia in common space were founded. Second, the daily living activities of the elderly with dementia in common space tended to focus on self-concentration type and physical environment-interest type. Third, physical environmental characteristics of common space affected space usage pattern of the elderly with dementia. And it was perceived like as living oriented space, social interaction space, facility space, staff oriented space. Conclusively it was suggested to plan dining space as semi-private space, day comer as semi-public space.