• Title/Summary/Keyword: Common space

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COMMON FIXED POINT THEOREMS WITHOUT CONTINUITY AND COMPATIBILITY IN INTUITIONISTIC FUZZY METRIC SPACE

  • Park, Jong-Seo
    • Honam Mathematical Journal
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    • v.33 no.2
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    • pp.143-152
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    • 2011
  • In this paper, we prove some common fixed point theorems for finite number of discontinuous, non-compatible mapping on non-complete intuitionistic fuzzy metric spaces and obtain the example. Our research improve, extend and generalize several known results in intuitionistic fuzzy metric spaces.

COMMON SOLUTION TO GENERALIZED MIXED EQUILIBRIUM PROBLEM AND FIXED POINT PROBLEM FOR A NONEXPANSIVE SEMIGROUP IN HILBERT SPACE

  • DJAFARI-ROUHANI, BEHZAD;FARID, MOHAMMAD;KAZMI, KALEEM RAZA
    • Journal of the Korean Mathematical Society
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    • v.53 no.1
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    • pp.89-114
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    • 2016
  • In this paper, we introduce and study an explicit hybrid relaxed extragradient iterative method to approximate a common solution to generalized mixed equilibrium problem and fixed point problem for a nonexpansive semigroup in Hilbert space. Further, we prove that the sequence generated by the proposed iterative scheme converges strongly to the common solution to generalized mixed equilibrium problem and fixed point problem for a nonexpansive semigroup. This common solution is the unique solution of a variational inequality problem and is the optimality condition for a minimization problem. The results presented in this paper are the supplement, improvement and generalization of the previously known results in this area.

A study on the Residents' Attitudes for the Shared Community Space of Apartment (아파트 공유공간에 대한 거주자들의 태도에 관한 연구)

  • 조성희;강혜경
    • Journal of the Korean housing association
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    • v.9 no.3
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    • pp.47-57
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    • 1998
  • The purpose of this study is to find out the residents' attitudes for the shared community space (SCS) according to various housing sizes (60㎠, 85㎠, 102㎠, 135㎠). The major findings are as follows: 1) The residents' overall trends for the SCS showed that the satisfaction rate and requirement rate according to housing size didn't show a significant difference, but there was a considerable difference among the using rates for each category of housing sizes. 2) The kinds of common facilities that residents required were recreational facilities, car-wash facilities, children's play centers, facilities for separation/sanitation for garbage and recyclable materials and lounging facilities in that order. The common facilities that require tenant-management were recreational facilities, car-wash facilities and lounging facilities in that order. The common facilities that require participation in tenant-management were study/reading facilities, recreational facilities and hobby/lecture facilities in that order. 3) With regard to the residents' needs, the tenant-management and participation in it, the kinds of common facilities were differentiated according to housing size (60㎠, 85㎠, 102㎠, 135㎠).

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Needs for Shared Community Spaces and Housing Consciousness among Apartment Housing Dwellers (주의식과 주민전용 공동공간에 대한 요구)

  • 김미희;문희정
    • Journal of the Korean housing association
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    • v.8 no.3
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    • pp.91-98
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    • 1997
  • This study explores the patterns of housing-related attitudes and the kind of needs for shared community spaces among small-sized apartment housing dwellers. The major findings are as follows. The majority of the dwellers are in a strong need of common spaces. especially for children's activities. social gathering and physical exercises. Housing consciousness can be grouped into 4 categories the propensity to making up common society. the propensity to pursuing the quality of neighborhood. the propensity to orienting natural environment. and the propensity to participating in community. Families with children in primary school are more likely to get involved in the community and the common society than those with children in high school or those in the stage of launching a family. The propensity to making up common society and pursing the quality of neighborhood have stronger impact on needs for shared community space. This study reveals that the sense of community orientation is the most powerful predictor variable for shared community space needs.

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COMMON FIXED POINT THEOREMS IN THE SETTING OF EXTENDED QUASI b-METRIC SPACES UNDER EXTENDED A-CONTRACTION MAPPINGS

  • Amina-Zahra Rezazgui;Wasfi Shatanawi;Abdalla Ahmad Tallafha
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.1
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    • pp.251-263
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    • 2023
  • In the setting of extended quasi b-metric spaces, we introduce a new concept called "extended A-contraction". We then use our concept to prove a common fixed point result for a pair of self mappings under a set of conditions. Also, we provide the concepts of extended B-contraction and extended R-contraction. We then establish a common fixed point under these new contractions. Our results generalize many existing result of fixed point in metric spaces. Furthermore, we give an example to illustrate and support our result.

GENERALISED COMMON FIXED POINT THEOREM FOR WEAKLY COMPATIBLE MAPPINGS VIA IMPLICIT CONTRACTIVE RELATION IN QUASI-PARTIAL Sb-METRIC SPACE WITH SOME APPLICATIONS

  • Lucas Wangwe;Santosh Kumar
    • Honam Mathematical Journal
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    • v.45 no.1
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    • pp.1-24
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    • 2023
  • In the present paper, we prove common fixed point theorems for a pair of weakly compatible mappings under implicit contractive relation in quasi-partial Sb-metric spaces. We also provide an illustrative example to support our results. Furthermore, we will use the results obtained for application to two boundary value problems for the second-order differential equation. Also, we prove a common solution for the nonlinear fractional differential equation.

A Study on the Phenomenological Characteristics of the Expression in Composition of the Experimental Exhibition Space - Focused on Exhibition Utilizing Light - (전시체험공간 구성에서의 현상학적 표현특성에 관한 연구 - 빛을 이용한 전시를 중심으로 -)

  • Park, Eun-A;Han, Hae-Ryon
    • Korean Institute of Interior Design Journal
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    • v.22 no.3
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    • pp.183-194
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    • 2013
  • Exhibition space emphasizes the experience in the space rather than viewing or appreciation of visitors. Because the experience spaces in today's life are limited, people experience rest, comfort, and sometimes extraordinary space experience through exhibition space. Exhibition space has changed from a static place to a space where visitors move and act with the exhibits to freely feel the space. Also, the static space expressed only with illumination and shadow becomes a new space different from daily space for users. This study analyzes the characteristics of phenomenological expression through such user-oriented exhibition space. This study is to analyze the characteristics of phenomenology through the exhibition experience space structure. It is to analyze and study on the characteristics of phenomenological expression of the exhibition experience space structure centered in the opinion of Merlo-Ponti that considers the experience of body among 'characteristics' discussed based on the study of the phenomenological experience published up to date and the viewpoint of Steven Hall that sees light as a subject of creating the space. This study is also considers how the perception of the experiencer is built in the correlation between the phenomenology and exhibition experience space by studying the relationship of the experiencer that is the common point of the exhibition experience space structure and the characteristics of phenomenological expression and analyzing the common point and difference of them. It also focuses on the space of dark whether forming any light rather than looking at the light which is the sense factor among the characteristics of phenomenological expressions. Thus, the purpose of this study is to analyze the case on whether there is any light or not applied to the exhibition experience space grounded by the theoretical materials of Merlo-Ponti and Steven Hall based on the characteristics of phenomenological expressions in the exhibition experience space structure and, based on the result, to set up the basics on the characteristics of phenomenological expressions in the composition of exhibition experience space.

A Study on the Space Analysis of Apartment Floor Plans in New·Old Town Using the Space Syntax (공간구문론을 이용한 신·구 신도시 아파트의 평면 구성 비교 분석)

  • Hwang, Yong-Woon
    • Korean Institute of Interior Design Journal
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    • v.25 no.2
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    • pp.123-130
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    • 2016
  • Industrialization and Urbanization caused a great influx of rural population into the cities, which caused housing types to change from detached homes to more apartments homes. The official 2014's Statistics (http://kossir.kr) show that half (49.6%) of the Korean population live in apartment buildings and 37.5% live in detached houses. For this reason, the apartments have become the typical housing in Korea. So, the aim of this study is to compare and analyze the internal apartment space of Budang (New-Town) and Wirye (New-Town), since these Budang apartments are the first new-town housing and Wirye apartments are the last new-town housing in Korea. I have used the Convex Analysis of Space Syntax Program in analyzing the inside space of both of these locations' apartments. The results are as follows : First, the inside space of Wirye apartments have more convex space than that of the Budang apartments. Second, the common inside space of the Budang apartments were planned by integration space, on the other hand the inside space of Wirye apartments were planned by segregation space. Third, the master bedroom in both of the locations' apartments were analyzed for their strong integration space which they may have in common. The K (Kitchen) + D (Dining) space in Budang apartments are classified as integration space, on the other hand L (Living) + K + D space is also classified as integration space. The L+K+D space of the Wirye apartments is classified as integration space. Finally, the inside space of the Wirye apartments were planned more for various spaces than that of Budang apartments. The concept of master bedroom in both new-town was not planed for a couple privacy space but the heart of the family.