• The Pure and Applied Mathematics
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• v.29 no.3
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• pp.231-244
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• 2022

In this paper, we introduce the notion of rational g-h-ϕ-weak contractions in tripled metric-like spaces and demonstrate common fixed point results for each mappings in 0-σ complete tripled metric-like spaces and some examples and application are given.

• Korean Journal of Mathematics
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• v.31 no.4
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• pp.391-403
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• 2023

In this work, we establish common fixed point results by utilizing a variant of F-contraction in the framework of C^*-algebra valued metric spaces. We utilize E.A. and C.L.R. property possessed by the mappings to prove common fixed point results in the same metric settings. To validate the applicability of these common fixed point results, we provide illustrative examples too.

• 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].

• East Asian mathematical journal
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• v.23 no.2
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• pp.175-195
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• 2007

The object of this paper is to introduce the notion of semi-compatible maps in fuzzy metric spaces, fuzzy 2-metric spaces and fuzzy 3-metric spaces and to establish three common fixed point theorems for these spaces for four self-maps. These results improve, extend and generalize the results of [16]. As an application, these results have been used to obtain translation and generalization of Grabeic's contraction principle in the new settings. All the result presented in this paper are new.

• 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.

• Journal of Families and Better Life
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• v.21 no.6
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• pp.107-115
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• 2003

The purpose of this study was to Investigate the spatial composition characteristics of elderly housing facilities in USA, in order to refer them in establishing the basic plan for elderly housing in Korea. The case study performed in this study from July 23 to July 31 is based on ten housing facilities for the elderly located at California in USA. The results of this study were as follows; 1. The type of floor plan was classified into the U type, ㅁ type, L type, and ㅡ type. And they had an outside space called a garden(courtyard). 2. The kinds of common spaces could be grouped as the space for basic living, for leisure, and for convenient living. Also it was all common that the housing facility had shared livingroom, shared diningroom, activity room and garden. The type of the common spaces was categorized into two types, the centralized type where the shared space was located at the center of the housing facilities, and the distributed type, depending on the degree of separation between common spaces and units. ,3. The kinds of units was classified into studio, oneroom, one bedroom and two bedroom.

• The Pure and Applied Mathematics
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• v.23 no.2
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• pp.131-143
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• 2016

In this paper, we present some common fixed point theorems for two pairs of weakly compatible self-mappings on multiplicative metric spaces satisfying a generalized Meir-Keeler type contractive condition. The results obtained in this paper extend, improve and generalize some well known comparable results in literature.

• Korean Journal of Mathematics
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• v.32 no.1
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• pp.15-25
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• 2024

In this paper, we obtain common fixed point theorems for three mappings of contractive type in the setting of generalized modular metric spaces. Our results generalize many results available in the literature including common fixed point theorems.

• Journal of The Korea Institute of Healthcare Architecture
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• v.1 no.2
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• pp.39-51
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• 1996

Design scheme drawings of the two major corporate hospitals - Asan Medical Center and Samsung Medical Center - are analysed in the aspect of floor area distributions and their proportions for various users and user-functions. Primary users of hospitals are categorized into three ; patients, employees and others. Then, patient spaces are subdivided into patient private, patient/medical, patient/support staff, patient/nursing, patient/guardian, patient common ; employee spaces into doctors, trainees, doctors common, nurses, support staffs, non-medical staffs, employee common ; others spaces into subcontractors, general publics, non-living, and internal circulation. The purpose of this research is to develop a user-focused insight into hospital spaces and a new method of hospital programming and design.

• Journal of applied mathematics & informatics
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• v.22 no.1_2
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• pp.411-424
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• 2006

The purpose of this paper, using the idea of intuitionistic fuzzy set due to Atanassov [2], we define the notion of intuitionistic fuzzy metric spaces (see, [1]) due to Kramosil and Michalek [17] and Jungck's common fixed point theorem ([11]) is generalized to intuitionistic fuzzy metric spaces. Further, we first formulate the definition of weakly commuting and R-weakly commuting mappings in intuitionistic fuzzy metric spaces and prove the intuitionistic fuzzy version of Pant's theorem ([21]).