• The Pure and Applied Mathematics
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• v.28 no.2
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• pp.103-110
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• 2021

The aim of this paper is to prove a common fixed point theorem for two w-compatible maps in modular A-metric spaces. The main result is also illustrated by an example to demonstrate the degree of validity of our hypothesis.

• Nonlinear Functional Analysis and Applications
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• v.27 no.3
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• pp.641-648
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• 2022

Fixed point theory has been a flourishing area of mathematical research for decades, because of its many diverse applications. In this paper, we present a fixed point theorem for s - 𝜌-contractive type multi-valued mappings in modular spaces which will generalize some old results.

• Korean Journal of Mathematics
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• v.31 no.2
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• pp.123-131
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• 2023

In this paper, we prove existence of best proximity points for 2-convex contraction, 2-sided contraction, and M-weakly cyclic 2-convex contraction mappings in the setting of complete strongly regular generalized modular metric spaces that generalize many results in the 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 Furniture Society
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• v.21 no.5
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• pp.380-391
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• 2010

Modular furniture's colors, materials, finishing materials and quantities are determined by users' tastes and it's diverse functions, shapes and sizes are determined by the spaces of users. That is, modules satisfy the diversity of consumers, meet differentiated individuals' tastes and enable communications with consumers rather than delivering one-way messages of designers. The contemporary spaces of the 21st century have been gradually shifting from uniform spaces attaching weight on individuals' individuality and tastes and along with it, the consumption of expensive custom-made furniture and foreign branded furniture is increasing to satisfy those small numbers of consumers who want to express diversified individuality. The modular furniture as a concept which is the most suitable to Mass Customization can be produced in large quantities while considering the diverse needs and tastes of individuals and it does not have absolute shapes or sizes. The concept of modular furniture shows similarities to the creation of fractals that forms shapes by self similarities, repeats and similar transformations which is in the same context as the characteristics of a modular design that presents diversity with scales, materials and jointing points. Fractals will be combined with the digital media of today to present great plasticity and influence designers more heavily. Pursuit of new modeling is a requisite for the creation of future spaces and it will require continuous creativity and the transformable modular furniture will contribute to the satisfaction of diverse consumers' needs. This study is to propose the modular furniture that considers the diversity of the public in the 21st century and their individuality and that will enable interactions between designers and consumers.

• Journal of the Korea Furniture Society
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• v.14 no.1
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• pp.79-89
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• 2003

Today's aesthetics and design orientations seem to be: flexibility, mobility, multi-functionality required front user's new needs. Our spaces have changed increasingly contain the needs of constant mobility and ability to adapt to a wide variety of situations. For efficient use, a modular system in furnishing can manage the spaces with components which are easy to assemble and disassemble. The function comes from spacial technological structure that is an 'union' formed by units to joint each other. The repeated module is tailored to unchanging environmental conditions. On the other hand, the structure defined by change reacts flexibility to a dynamic environment. In decision-making, it is flexible and able to adapt. Their ability to be positioned freely anywhere in the room allows individual tasks to be carried out by different people, and their almost endless variety of uses create distinctive spaces for living.

• Nonlinear Functional Analysis and Applications
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• v.28 no.1
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• pp.1-9
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• 2023

Our aim in this paper is to give some new proofs to fixed point theorems due to Abdou [1] for mappings satisfying Reich type contractions in modular metric spaces. We removed the restriction that ω satisfies the ∆₂-type condition imposed on the results of [1]. Furthermore, Lemma 2.6 of [1] which was crucial in the proofs of the results of [1] is not needed in the proofs of our results. Our method of proof is simpler and interesting.

• KIEAE Journal
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• v.17 no.5
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• pp.87-94
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• 2017

Purpose: Prefabricated modular space such as a container construction has recently been interested unlike the conventional construction method, and their scale have expanded from small buildings such as cafes, houses and pensions to shopping centers, complex cultural spaces where shows and exhibitions are possible doing. In this way, the container is in the spotlight as an advantage such as mobility, flexibility, correspondence, economic efficiency, recyclability and so on. However, there are no specific guidelines and standard design methods in aspects of structural calculation, functional insulation and environmental configuration. Therefore, as the first step to resolve these problems, this study has focused on the field of environmental performance of container construction, presented appropriate guidelines and searched ways to improve performances. Method: For this study, seven types of the modular building were chosen and compared, and their energy performances have been analyzed using a proven simulation tool. Essential methodology and terminology were examined to estimate and judge their efficiency. Result: In conclusion, energy performances depend on specific configuration of combined unit spaces, and design guidelines cold be set up for promoting their use in the practical field.

• Nonlinear Functional Analysis and Applications
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• v.29 no.2
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• pp.361-391
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• 2024

In this paper, a pair of ω-compatible self mappings in the setting of modular G-metric space is defined. We prove the existence and uniqueness of common fixed point of pairs of ω-compatible self mappings in a G-complete modular G-metric space. Furthermore, we give an example to justify our claims. The results established in this paper extend, improve, generalize and complement some existing results in literature.

• Journal of the Korea Institute of Building Construction
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• v.23 no.6
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• pp.809-820
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• 2023

In contemporary society, there is a notable rise in single-person households, coupled with an increased demand for residential spaces, necessitating the exploration of suitable housing solutions. Modular architecture is gaining prominence as a method to deliver cost-effective and sustainable living spaces efficiently. This study introduces a method for optimizing the design and construction processes of modular building units through Building Information Modeling(BIM) technology. It involves an analysis of factors that enhance living quality and meet the housing needs of single-person households. Utilizing BIM, a resource-efficient and cost-efficient modular apartment unit has been developed. BIM facilitates the visualization and integration of architectural components, thereby reducing design errors and enhancing productivity. This research evaluates both the benefits and constraints of modular architecture. Modular constructions, when combined with BIM, emerge as a potent solution for housing challenges, enriching the quality and variety of residential options. Nevertheless, considerations such as technical prerequisites and financial implications are also discussed. The study showcases the potential and merits of utilizing BIM for designing apartment units tailored to single-person households, offering a viable approach to ameliorate their living conditions.