• Kyungpook Mathematical Journal
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• 제61권2호
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• pp.279-308
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• 2021

The purpose of this paper is to introduce a class of contractive pairs of mappings satisfying a Zamfirescu-type inequality, but controlled with altering distance functions and with parameters satisfying the so-called Geraghty condition in the framework of b-metric spaces. For this class of mappings we prove the existence of points of coincidence, the convergence and stability of the Jungck, Jungck-Mann and Jungck-Ishikawa iterative processes and the existence and uniqueness of its common fixed points.

• Nonlinear Functional Analysis and Applications
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• 제27권1호
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• pp.45-58
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• 2022

In this paper, iterative algorithms for approximating a common fixed point of a countable family of multi-valued demicontractive maps in the setting of Hadamard spaces are presented. Under different mild conditions, the sequences generated are shown to strongly convergent and ∆-convergent to a common fixed point of the considered family, accordingly. Our theorems complement many results in the literature.

• Journal of applied mathematics & informatics
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• 제40권5_6호
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• pp.1053-1071
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• 2022

The purpose of this article is to establish some fixed point theorems, a common fixed point theorem and a coincidence point theorem via contractive type condition in the framework of complete partial metric spaces and give some examples in support of our results. As an application to the results, we give some fixed point theorems for integral type contractive conditions. The results presented in this paper extend and generalize several results from the existing literature.

• Nonlinear Functional Analysis and Applications
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• 제27권4호
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• pp.731-742
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• 2022

In this paper, we present a new mixed type iterative process for approximating the common fixed points of single-valued nonexpansive mapping and multi-valued nonexpansive mapping in a CAT(0) space. We demonstrate strong and weak convergence theorems for the new iterative process in CAT(0) spaces, as well as numerical results to support our theorem.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제30권4호
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• pp.417-427
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• 2023

The purpose of this paper is establish the existence of proximity point for the cyclic B-contraction mapping on metric spaces and uniformly convex Banach spaces. Also, we prove the common proximity point for the S-weakly cyclic B-contraction mapping. In addition, a few examples are provided to demonstrate our findings.

• 한국농촌건축학회논문집
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• 제20권1호
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• pp.37-44
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• 2018

The purpose of this study is to know how to make common space, find a type of it, and build a village landscape with it in countryside. There are five types of village including suburban according to typological locality in rural area. Each of them have remarkable common spaces that are combined with community identity and usage. They usually are located along with the street and lane of the village. Most of the villages I surveyed have common places for residents to rest, share, and meet together. Representatively, pavilion with symbolic tree we call Jeonja is very popular place to them, and village people also require public parking or pocket park in their modern life. I researched common places in ten communities in rural area so that I can suggest a way of community design through them. According to this research, there are three results. First, the common space of the village is placed to motivate emotional and attractive community design in the village. Second, the common space has an identity and landscape architectural relationship to build sustainable community. Third, countries' streets that I surveyed have four types, which are liner, tree, loop, and radiate patterns of lane. In line with those types, each one makes different and historical community landscape.

• 한국주거학회논문집
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• 제18권1호
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• pp.131-139
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• 2007

The aim of this paper is to find out different preference of common spaces and shared activities in senior cohousing community between regions in Korea: Seoul and other cities. Social survey was conducted nationwide and the respondents were 50s only, since they are the generation who will face to elderly housing subject within 10 years in turbulent Korean society. Collected data, about 1000, were analyzed by SPSS program using frequency, percentage, and Chi-square test. In summary, respondents mostly would like to move to senior cohousing on circumstance when they remain alone without big difference between regions. Loneliness and housekeeping were considered as the most difficult issues for the elderly to manage by themselves. Among common spaces, exercise room was the most preferred space to meeting room and kitchen. Exercise room was more preferred in Seoul than in other cities, on the contrary meeting room was evidently less preferred in other cities than in Seoul. Regarding shared activities, resident meeting, gardening, and common meal were revealed as less preferred activities than hobby exercise and tea meeting. As a conclusion, I would like to propose that a big common living room is better to be designed for meeting room cum dining and gathering room with flexibility in order to give residents chances to know each other more often. And since common space and shared activity show different preferences by regions, those are to be designed and planned reflecting region's different circumstance.

• Kyungpook Mathematical Journal
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• 제28권1호
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• pp.97-106
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• 1988

In the first section of this paper two common fixed point results for four nonlinear mappings which are pairwise commuting and only two of them being continuous have been given on a complete metric space and on a compact metric space respectively which generalize the results of Mukherjee [2] and Yeh [4]. Further two common fixed point theorems have been established for two finite families of non linear mappings, with only one family being continuous. In another section we extend Theorem 3 and Theorem 4 of Mukherjee [2] for common fixed point of four continuous mappings on a Hausdorff space and on a compact metric space respectively. In the same spaces, these two results have been further generalized for two finite families of continuous mappings.

• 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.

• Journal of applied mathematics & informatics
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• 제19권1_2호
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• pp.485-492
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• 2005

In this paper, we obtain some common fixed point theorems for fuzzy mappings in complete metric linear spaces.