• 제목/요약/키워드: Common Space

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A common fixed point theorem in the intuitionistic fuzzy metric space

  • Park Jong-Seo;Kim Seon-Yu;Kang Hong-Jae
    • 한국지능시스템학회논문지
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    • 제16권3호
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    • pp.321-325
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    • 2006
  • The purpose of this paper is to establish the common fixed point theorem in the intuitionistic fuzzy metric space in which it is a little revised in Park [11]. Our research are an extension of Jungck's common fixed point theorem [8] in the intuitionistic fuzzy metric space.

초고층 주상복합 건물의 입주자관리, 공유공간 만족도와 지역공동체의식의 관계 (Relationship between Satisfaction Degree on Management for Residents, Common Spaces and Sense of Community in High Rise Mixed-use Residential Building)

  • 홍형옥;채혜원
    • 가정과삶의질연구
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    • 제22권3호
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    • pp.95-105
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    • 2004
  • The purpose of this study was to identify the relations among management for residents, sense of community and common space for residents which provided in high rise mixed-use residential building constructed at the end of 1990s. Research method was social survey with questionnaire from 178 subjects collected by the snow ball sampling. Statistical analysis was done by the SPSS 10 for Windows program using frequency, percentage, t-test, one-way ANOVA. Research results showed high degree of residents' management satisfaction in the area of fitness space and business service. And they also showed high degree of residents' satisfaction in common space which include swimming pool, shower and sauna facilities. Satisfaction degree of management for residents became high with the support of residents' common space, so the management of residents' common space might be important in the management of high rise mixed-use residential building. Finally, residents' management and residents' common spaces have an important role to enhance the sense of community.

Common fixed point theorem for a sequence of mappings in intuitionistic fuzzy metric space

  • Park, Jong-Seo;Kang, Hong-Jae
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제7권1호
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    • pp.30-33
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    • 2007
  • Park and Kim [4], Grabiec [1] studied a fixed point theorem in fuzzy metric space, and Vasuki [8] proved a common fixed point theorem in a fuzzy metric space. Park, Park and Kwun [6] defined the intuitionistic fuzzy metric space in which it is a little revised in Park's definition. Using this definition, Park, Kwun and Park [5] and Park, Park and Kwun [7] proved a fixed point theorem in intuitionistic fuzzy metric space. In this paper, we will prove a common fixed point theorem for a sequence of mappings in a intuitionistic fuzzy metric space. Our result offers a generalization of Vasuki's results [8].

Some Common Fixed Points for Type(β) Compatible Maps in an Intuitionistic Fuzzy Metric Space

  • Park, Jong Seo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제13권2호
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    • pp.147-153
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    • 2013
  • Previously, Park et al. (2005) defined an intuitionistic fuzzy metric space and studied several fixed-point theories in this space. This paper provides definitions and describe the properties of type(${\beta}$) compatible mappings, and prove some common fixed points for four self-mappings that are compatible with type(${\beta}$) in an intuitionistic fuzzy metric space. This paper also presents an example of a common fixed point that satisfies the conditions of Theorem 4.1 in an intuitionistic fuzzy metric space.

FIXED POINT THEOREMS IN ORDERED b-METRIC SPACES WITH ALTERNATING DISTANCE FUNCTIONS

  • Bouhafs, Radia;Tallafha, Abdalla Ahmed;Shatanawi, Wasfi
    • Nonlinear Functional Analysis and Applications
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    • 제26권3호
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    • pp.581-600
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    • 2021
  • In this paper we obtain a unique common fixed point theorem for four self-maps which are involved in (𝜙, 𝜓)-weak contraction of a partially ordered b-metric space. The necessary condition has been given to a space for the existence of an unique common fixed of the maps. And our work changed conditions and nonlinear contraction, and search for the unique common fixed point of the maps.

COMMON FIXED POINT, MULTIMAPS IN FUZZY METRIC SPACE

  • Kubiaczyk, I.;Sharma, Sushil
    • East Asian mathematical journal
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    • 제18권2호
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    • pp.175-182
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    • 2002
  • The purpose of this paper is to obtain some common fixed point theorems for multivalued mappings in fuzzy metric space. Of course this is a new result on this line.

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COMMON FIXED POINT FOR RECIPROCALLY CONTINUOUS AND WEAKLY COMPATIBLE MAPS IN A G-METRIC SPACE

  • Swapna, P.;Phaneendra, T.;Rajashekar, M.N.
    • Nonlinear Functional Analysis and Applications
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    • 제27권3호
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    • pp.569-585
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    • 2022
  • A brief comparative survey of some generalizations of a metric space with three dimensional metric structures and different forms of the triangle inequality is done along with their topological properties. Then a common fixed point is obtained for reciprocally continuous and compatible self-maps in a G-metric space. Further, a common fixed point theorem is proved for a pair of weakly compatible self-maps on a G-metric space with the common limit range property.

현대 종합병원 공용공간구성의 사용자중심적 실내디자인 특성 연구 - 해외사례를 중심으로 - (A Study on Characteristics of User-Focused Interior Design in Common Space Composition of Contemporary General Hospitals - Focused on Overseas Case -)

  • 김정아
    • 한국실내디자인학회논문집
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    • 제23권5호
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    • pp.174-182
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    • 2014
  • As patients prefer large scale hospitals recently, the interior design of general hospitals are conspicuously improving. In the past, most patients visit hospitals to get treatment on diseases; however, recently patients visiting hospitals for the early prevention of disease is rapidly increasing. Accordingly, contemporary hospitals should meet the wish of patients who want to get medical service in more clean and comfortable environment. The existing studies on hospital interior design were mostly limited on analyzing the functionality of each space; however, studies on the interior design of common use space, which is open to all hospital users, are required now. Accordingly, this study classified the common use space in contemporary general hospitals into lobby space, corridor space, waiting space and resting space. The interior design characteristics of each space were classified into; connectivity with external environment, level change by void, introduction of natural elements, dynamics of space and variety of color. Then a case analysis was done by selecting 12 common use spaces in overseas general hospitals. According to the analysis result, the interior design characteristics were more conspicuous in the sequence of corridor space, lobby space, resting space and waiting space. The interior design elements such as overall space arrangement and material-finishing were relatively acceptable; however, the aspect of a user's environmental behavior, in other words, the psychological aspect, which can lead a patient to natural healing, was relatively insufficient. It is believed that an in-depth interior design focusing on practical users would enable various spatial behaviors. It is hoped that this study would be a help to the interior design of domestic general hospitals as a guideline.