• Journal of the Korean Mathmatical Society
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• v.4 no.1
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• pp.12-17
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• 1967

• Kyungpook Mathematical Journal
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• v.8 no.1
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• pp.11-12
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• 1968

• Kyungpook Mathematical Journal
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• v.5 no.2
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• pp.47-50
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• 1963

• Kyungpook Mathematical Journal
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• v.8 no.2
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• pp.27-31
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• 1968

• The Mathematical Education
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• v.19 no.2
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• pp.31-32
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• 1981

• Journal of applied mathematics & informatics
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• v.27 no.1_2
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• pp.13-23
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• 2009

Some strong convergence theorems of explicit iteration scheme for asymptotically nonexpansive semi-groups in Banach spaces are established. The results presented in this paper extend and improve some recent results in [T. Suzuki. On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces, Proc. Amer. Math. Soc. 131(2002)2133-2136; H. K. Xu. A strong convergence theorem for contraction semigroups in Banach spaces, Bull. Aust. Math. Soc. 72(2005)371-379; N. Shioji and W. Takahashi. Strong convergence theorems for continuous semigroups in Banach spaces, Math. Japonica. 1(1999)57-66; T. Shimizu and W. Takahashi. Strong convergence to common fixed points of families of nonexpansive mappings, J. Math. Anal. Appl. 211(1997)71-83; N. Shioji and W. Takahashi. Strong convergence theorems for asymptotically nonexpansive mappings in Hilbert spaces, Nonlinear Anal. TMA, 34(1998)87-99; H. K. Xu. Approximations to fixed points of contraction semigroups in Hilbert space, Numer. Funct. Anal. Optim. 19(1998), 157-163.]

• Journal of the Korean housing association
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• v.11 no.1
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• pp.115-124
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• 2000

The purpose of this research is to examine residents' needs for shared community spaces and to explore the relationships between these needs and characteristics of consumers such as age and employment status of the homemakers, family life cycle stage, occupation of the primary income provider, housing size, and homeownership. Statistical data were compiled to determine frequencies and percentage distributions, and subjected to General Linear Model and Duncan-test analysis.Most residents wanted to utilize the basements of their complexes for storage space. Further interest was shown for shared community spaces that would be run by residents themselves, such as vegetable gardens, indoor playgrounds for children, senior citizen's activity rooms, walking paths, study rooms, and lounges. Female residents under 45 years old were likely to express needs for storage spaces for bicycle, and multipurpose rooms for meetings and family events. Female residents with jobs were more likely to desire shared community spaces than full-time females residents were. These findings imply the need for consideration of diverse plans rather than uniform ones. This results can be usefully applied to develop new apartment housing for different social class residents.

• Kyungpook Mathematical Journal
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• v.63 no.2
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• pp.199-223
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• 2023

We introduce the constants E[t, X], C_NJ[X] and J[t, X] to describe the asymmetry of the norm. They can be seen as the skew version of the Gao's parameter, von Neumann-Jordan constant and Milman's moduli, respectively. We establish basic properties of these constants, relating them other well known constants, and use these properties to calculate the constants for specific spaces. We then use these constants to study Hilbert spaces, uniformly non-square spaces and their normal structures. With the Banach-Mazur distance, we use them to study isomorphic Banach spaces.

• Architectural research
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• v.2 no.1
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• pp.41-46
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• 2000

The sawtooth skylight is an excellent daylighting concept for the uniform interior illuminance over large working areas. In computer simulation, it is difficult for an architect to get accurate daylight illuminances for the spaces where sawtooth apertures are applied. In this study, daylight prediction algorithms for sawtooth apertures are developed. The flux transfer method is applied for this study to predict daylight illuminances. The simplified equations from this study can be used effectively for preliminary prediction of daylight in sawtooth spaces.

• Korean Journal of Mathematics
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• v.29 no.3
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• pp.501-510
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• 2021

A uniform study towards normality is provided for topological spaces. Following Császár, 𝛄-normality and 𝛄(𝜃)-normality are introduced and investigated. For 𝛄 ∈ 𝚪₁₃, 𝛄-normality is found to satisfy Urysohn's lemma and provide partition of unity. Several existing variants of normality such as 𝜃-normality, 𝚫-normality etc. are shown to be particular cases of 𝛄(𝜃)-normality. In this process, 𝛄-regularity and 𝛄(𝜃)-regularity are introduced and studied. Several important characterizations of all these notions are provided.