• The Pure and Applied Mathematics
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• v.30 no.3
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• pp.249-267
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• 2023

This manuscript is divided into three segments. In the first segment, we prove a unique common fixed point theorem satisfying generalized weak contraction on partially ordered metric spaces and also give an example to support our results presented here. In the second segment of the article, some common coupled fixed point results are derived from our main results. In the last segment, we investigate the solution of integral equation as an application. Our results generalize, extend and improve several well-known results of the existing literature.

• The Pure and Applied Mathematics
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• v.30 no.3
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• pp.289-307
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• 2023

We prove some common fixed point theorems for β-non-decreasing mappings under contraction mapping principle on partially ordered metric spaces. We study the existence of solution for periodic boundary value problems and also give an example to show the degree of validity of our hypothesis. Our results improve and generalize various known results.

• Journal of applied mathematics & informatics
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• v.40 no.1_2
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• pp.305-316
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• 2022

We study the existence and uniqueness of solutions for a class of boundary value problems of nonlinear fractional order differential equations involving the Caputo fractional derivative by employing the Banach's contraction principle and the Schauder's fixed point theorem. In addition, an example is given to demonstrate the application of our main results.

• Nonlinear Functional Analysis and Applications
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• v.27 no.2
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• pp.309-322
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• 2022

In this paper, we introduce the notion of a new generalized type of rational F-contraction mapping. Further, the concept is used to obtain fixed points in a complete b-metric space. We also prove another unique fixed point theorem in the context of b-metric space. Our results are verified with example.

• The Pure and Applied Mathematics
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• v.30 no.4
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• pp.443-461
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• 2023

In this paper, we establish some common fixed point theorems satisfying contraction mapping principle on partially ordered non-Archimedean fuzzy metric spaces and also derive some coupled fixed point results with the help of established results. We investigate the solution of integral equation and also give an example to show the applicability of our results. These results generalize, improve and fuzzify several well-known results in the recent literature.

• Journal of the Chungcheong Mathematical Society
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• v.37 no.1
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• pp.19-26
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• 2024

In this paper, we investigate the properties related to algebraic spectral subspaces and divisible subspaces of linear operators on a Banach space. In addition, using the concept of topological divisior of zero of a Banach algebra, we prove that the only closed divisible subspace of a bounded linear operator on a Banach space is trivial. We also give an example of a bounded linear operator on a Banach space with non-trivial divisible subspaces.

• Journal of the Korean Institute of Landscape Architecture
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• v.39 no.5
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• pp.12-20
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• 2011

Parks and green spaces have various functions for improving urban physical and social environments. Urban parks and green space planning have been applied in this study for the purpose of enhancing the urban environment. The most popular method for urban parks and green space planning is incrementing the quantity of parks and green spaces. However, it may not be possible to designate new parks and green spaces in a large city because of the difficulty of obtaining land. This study explores how urban parks and green space planning produces better quality urban environments without having to designate new parks and green spaces. The study evaluates existing parks and green spaces according to the satisfaction of the users. This evaluation could be a useful tool for those planning urban parks and green space systems. The study was performed in Tama Newtown, Japan, within two districts with two distinct characteristics of park systems: concentration and equality arrangement forms. For comparison, on-site questionnaires were used, with 319 residents in the area responding to the study. The data was collected and analyzed, using t-test, factor analysis, and multiple regression methods. The study found there was no difference in satisfaction factors be tween the two districts. However, differences were found within each of the districts, depending on parks and green space components. For example, the quality of green space was the most important factor for the district with a planned concentration arrangement form of parks and green spaces, but, separation of the pedestrian and vehicular systems was the most important factor in the district with a planned equality arrangement form of park system. Factors affecting the satisfaction of parks and green spaces that were common between the two sites were: accessibility, quality of park, quality of green space, and separation of pedestrian and vehicular traffics.

• Journal of architectural history
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• v.6 no.3 s.13
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• pp.129-143
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• 1997

The perspective representation and its effect that appeared in the tombs and mural paintings of koguryo are summarized as follows: First, The inside structure of the tombs is likely to show the deepness effect, placing each function in the front and both sides centering around the mane pillars and creating the boundaries and the spaces that have various visibility between the inside and outside spaces of the structure just like a traditional Korean house shows. In addition, The deepness effect is emphasized by suggesting that the spaces are countinued with a storage attached behind the main house or by forming the level and deployment in a narrow space like the scene that a large array is looked out from the main house. Second, The deepness effect is expressed by making the form of ceiling turn to a vertical space of an ascending image, constructing it just as the lotus lamp ceiling of a wooden architecture or drawing it just like the imaginary heavenly world with the sun the moon and mythical fairies and animals spread in it. Thried, The perspective effect is disclosed by drawing the mural pictures in an equally set bird's-eye view without regard to the disfance proportion according to the conceptual visualization which is not a visual penetration, adopting the multiple view points and moving view points that are moving around as an important manner of seeing. Fourth, The deepness effect is emphasized through the scene of changing spaces when they are looked out far or looked into depending on a viewpoint of the daily life by forming the fromes of paintings that we made up with actual pillars, Du Gong, crossbeams or that are painted in most tombs. Fifth, The rich spatial senses are reflected by originating the characters of the three directions, level, deployment and ascending. An example which can support the conclusion of this study can be given here. that is, the construction ground plan of a dwelling house of a nobleman at the end of Koguryo as a remain which was excavated at Dongdae Ja in Jip An.

• Human Ecology Research
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• v.54 no.3
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• pp.263-278
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• 2016

Recently in South Korea, family-friendly living environment in resident communities have emerged as an important issue in addressing problems created by personalized and fragmented family in urban areas. Since their foundation in 2005, Healthy Family Support Centers provided a variety of community activities for both parents and children through the Co-Child Care Sharing Programs. That being said, it is certain that the Healthy Family Support Centers play a central role in making a family-friendly environment. This study surveyed the physical environment of the co-child care sharing space and suggested further improvement. The content of this survey represents the characteristics of co-child care sharing space in Incheon such as operation status, physical space, prepared facilities, and preference for facilities. This study also explored the field of two co-child sharing spaces (Bupyung-gu and Seo-gu) as an example case. The subject of this study was 14 co-child sharing spaces of nine Healthy Family Support Centers in Incheon investigated from July 2014 to October 2014. This study indicated three results: first, the size of the co-child care spaces, their composition and facilities are very different from each center and require standards and guidelines for the co-child sharing space in regards to physical space, composition, and facilities. Second, co-child sharing space should be provided with individual special programs and diversified activities in addition to playing activities. Third, many healthy family support centers operate over two co-child sharing spaces along with an out-located co-child sharing space that require mutual organizing and operational networking between each co-child sharing space to effectively share programs.

• Journal of the Korean Institute of Landscape Architecture
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• v.28 no.3
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• pp.25-38
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• 2000

The research follows several steps. First, the chinese 'WangSung' and 'KungSi' System are verified positively. Next, the structure of palace in Choson Dynasty is deduced based on those chinese systems. Finally, the common system that is also applied in other government-operated spaces is found. The result can be summarized as follows. It is clarified from reviewing the chinese 'WangSung' and 'KungSil' Systems that the 'OyoiCho' is located in 'WhangSung(the imperial city) but out of' KungSung(the palace). Therefore, the research points out that all sort of theories explaining the 'OyoiCho' of Choson Dynasty is a space of 'in-place' are false. The palace system of Choson dynasty seeks the substantiality grounded on the substantial function of 'SamCho(three spaces)' rather than its strict principle dividing main spaces by several doors-'KungMoon' Moreover, it is also certified that the 'ChonChoHooChim' system, literally the political court is located at the front and the private section is at the other(back) side, is directly applied on the palace of Choson Dynasty. This idea has been developed into 'inner and outer' concept and repressed in palace as the 'OyoiChon(outer palace) and NaeChon(inner palace)' concept. conclusion, the research suggests that the dual concept in space such as 'ChonHoo(front and back) and 'NaeOyoi(inner and outer)' basically comes from 'Eum Yang' theory and influences in building other government-operated spaces: for example 'ChongMyo(the royal ancestors shrine)', 'SoWon(a private school of Choson dynasty), 'HyangKyo(a local school annexed to the Confucian shrine)' and 'KwanAh(a governmet agency)'