• Korean Institute of Interior Design Journal
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• v.21 no.6
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• pp.79-91
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• 2012

In the Digital Convergence era, the center of social networking is moving into on-line space. This means also that space for public is moving into the on-line space. Along with this, spaces in commercial area, offered as attraction factors, are taking a role as a public space. So, this paper defines these spaces mentioned above as public space and the like. Liberal and affluent communication of Digital Convergence has caused in new spatial cognitions such like, constant social space, flowing space, temporary space, and multiple space. This means the hybridization of on-line and off-line space and the advent of public convergent space. However, it is on-line-centered convergence and has positive effects and negative effects on relationship. This paper suggests the optimization of public convergent space to solve the problems and make better a public space for relationship. For achieving this, social disclosure is grasped as the common way to start relationship both off-line and on-line, and it is proved that social disclosure has three characters such as self-presentation, corporeality, and subjectivity. Subsequently, the differences of the roles of off-line and on-line space are separated by each individual character. These are self-presentation of performance vs. storytelling, corporeality of embodiment vs. disembodiment, and self-subjectivity vs. inter-subjectivity. By recognizing that there are multilevel spectrums between the formers and the latters, this paper presents the direction of the spatial configuration of public convergent space which offers the right of manipulation of self-disclosure. It will be used for presenting the prototype of public convergent space.

• Communications of the Korean Mathematical Society
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• v.32 no.4
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• pp.1009-1024
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• 2017

In this paper, we consider the new faster iterative scheme due to Sintunavarat and Pitea ([32]) for further investigation and we prove its strong and ${\Delta}$-convergence theorems, data dependence and stability results in hyperbolic space. Our results extend, improve and generalize several recent results in CAT(0) space and uniformly convex Banach space.

• Journal of Astronomy and Space Sciences
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• v.32 no.4
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• pp.419-425
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• 2015

In this study, a new idea for developing a space scale for measuring mass in a microgravity environment was proposed by using the inertial force properties of an object to measure its mass. The space scale detected the momentum change of the specimen and reference masses by using a load-cell sensor as the force transducer based on Newton's laws of motion. In addition, the space scale calculated the specimen mass by comparing the inertial forces of the specimen and reference masses in the same acceleration field. By using this concept, a space scale with a capacity of 3 kg based on the law of momentum conservation was implemented and demonstrated under microgravity conditions onboard International Space Station (ISS) with an accuracy of ${\pm}1g$. By the performance analysis on the space scale, it was verified that an instrument with a compact size could be implemented and be quickly measured with a reasonable accuracy under microgravity conditions.

• The Pure and Applied Mathematics
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• v.15 no.1
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• pp.47-55
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• 2008

Local convergence results for three Newton-like methods in Banach space are provided. A comparison is given between the three convergence radii. Then we show that using the largest convergence radius we can pick an initial guess from with we start the corresponding iteration. It turns out that after a finite number of steps we can always use the iterate found as the starting guess for a faster method, since this iterate will be inside the convergence domain of the new method.

• Journal of the Korean Mathematical Society
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• v.54 no.1
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• pp.17-33
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• 2017

We present a new local as well as a semilocal convergence analysis for Steffensen's method in order to locate fixed points of operators on a Banach space setting. Using more precise majorizing sequences we show under the same or less computational cost that our convergence criteria can be weaker than in earlier studies such as [1-13], [21, 22]. Numerical examples are provided to illustrate the theoretical results.

• Journal of the Korean Mathematical Society
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• v.44 no.2
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• pp.467-476
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• 2007

A complete convergence theorem for arrays of rowwise independent random variables was proved by Sung, Volodin, and Hu [14]. In this paper, we extend this theorem to the Banach space without any geometric assumptions on the underlying Banach space. Our theorem also improves some known results from the literature.

• Korean Journal of Mathematics
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• v.31 no.3
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• pp.269-294
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• 2023

The purpose of this paper is to introduce a new three-step iterative process and show that our iteration scheme is faster than other existing iteration schemes in the literature. We provide a numerical example supported by graphs and tables to validate our proofs. We also prove convergence and stability results for the approximation of fixed points of the contractive-like mapping in the framework of uniformly convex Banach space. In addition, we have established some weak and strong convergence theorems for nonexpansive mappings.

• Journal of the Korean Institute of Intelligent Systems
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• v.18 no.2
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• pp.268-271
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• 2008

In this paper, we introduce the notions of a fuzzy convergence of sequences, fuzzy Cauchy sequence and the related fuzzy completeness on a fuzzy normed linear space. And we investigate some properties relative to fuzzy normed linear spaces. In particular, we prove an equivalent conditions that a fuzzy norm defined on a ordinary normed linear space is fuzzy complete.

• Journal of applied mathematics & informatics
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• v.7 no.2
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• pp.527-538
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• 2000

We provide sufficient conditions for the monotone convergence of a Chebysheff-Halley-type method or method of tangent hyperbolas in a partially ordered topological space setting. The famous kantorovich theorem on fixed points is used here.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1996.10a
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• pp.62-65
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• 1996

In this paper, we introduce two fuzzy convergence structures, fuzzy convergence and fuzzy limiterung, and obtain a relationship between them. We also consider relationships between fuzzy limit space and pseudotopological convergence space.