• Kyungpook Mathematical Journal
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• v.54 no.1
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• pp.11-22
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• 2014

The sequence spaces $c^F$(M), $c^F_0$(M) and ${\ell}^F$(M) of fuzzy real numbers with fuzzy metric are introduced. Some properties of these sequence spaces like solidness, symmetricity, convergence-free etc. are studied. We obtain some inclusion relations involving these sequence spaces.

• Journal of the Chungcheong Mathematical Society
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• v.6 no.1
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• pp.45-52
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• 1993

In this paper, we obtain the internal function space structure in the category of the fibrewise convergence spaces by means of the final structure. Moreover, we investigate cartesian closedness of the category of fibrewise convergence spaces which contains the category of fibrewise topological spaces as a full subcategory.

• Bulletin of the Korean Mathematical Society
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• v.58 no.4
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• pp.815-828
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• 2021

Under some mild conditions for the weight function K, the boundedness, compactness and essential norm of integral operators T_g and I_g from Morrey type spaces H^p_K to weighted BMOA spaces $BMOAK_{K,{\frac{2}{p}}}$ investigated in this paper.

• Bulletin of the Korean Mathematical Society
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• v.58 no.2
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• pp.481-495
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• 2021

In this paper, we investigate the properties of Bergman spaces, Bloch spaces and integral means of p-harmonic functions on the unit ball in ℝn. Firstly, we offer some Lipschitz-type and double integral characterizations for Bergman space ��kγ. Secondly, we characterize Bloch space ��αω in terms of weighted Lipschitz conditions and BMO functions. Finally, a Hardy-Littlewood type theorem for integral means of p-harmonic functions is established.

• Korean Journal of Mathematics
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• v.30 no.4
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• pp.679-686
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• 2022

In this study, the concept of lacunary statistical convergence is studied in G-metric spaces. The G-metric function is based on the concept of distance between three points. Considering this new concept of distance, we examined the relationships between GS, GS_θ, Gσ₁ and GN_θ sequence spaces.

• Proceeding of Spring/Autumn Annual Conference of KHA
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• 2009.11a
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• pp.240-244
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• 2009

The purpose of this study is to provide basic data needed for planning apartment community spaces in order to vitalize rental apartments. Indoors community spaces of six rental apartments in Seoul and Gyung-gi were examined. The results are as follows. First, layout types of community spaces in rental apartment complexes were researched and it was found that there are singular types and block types. Depending on the layout type, the space could function as an element to closely associate residents with each other. Second, child care spaces were planned to conveniently utilize the space with space plans, and furniture and appliance plans adjusted for children's characteristics. On the contrary, elderly spaces lacked exercise equipment and subsidiary facilities, and educational spaces caused inconvenience as they did not take into consideration the user characteristics. Third, although indoor community spaces of rental apartment complexes were planned to hold child care spaces, elderly spaces, educational spaces, and neighborhood spaces according to the legal standards of installation, the operation of these facilities were problematic.

• 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].

• 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 the Korean Institute of Rural Architecture
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• v.15 no.4
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• pp.43-50
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• 2013

This study is to clarify the characteristics and its change of spatial elements for community focused on the existing 22 old settlements in urban area of Cheongju. These community spaces are mainly divided into three parts, that is central space, inner road, and blind alley(cul-de-sac). The transitional characteristics of them are as follows. Firstly, the characteristics of central spaces is lasting, but the function is influenced by changing times. The function of central spaces located at the entrance to the village had been reduced to adjustments to modern lifestyle, and currently changed into senior citizen community center, supermarket, and public area. Secondly, as the width of the existing inner roads passed through old settlements had been extended, they are changed into pedestrian and traffic road, but the shape and function of them have been maintained. When new roads passed through old settlements had been established, the shape of old inner roads is disappeared, and the function of them is changed into byway and alley. Thirdly, cul-de-sacs of old settlements have tended to create a sense of community, but new cul-de-sacs formed by lot division have been only changed to passage. When new roads are established and cul-de-sacs are changed into alleys, the community between individual households is lost.

• Journal of the Chungcheong Mathematical Society
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• v.9 no.1
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• pp.77-87
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• 1996

For any map $v:X{\rightarrow}Y$, the generalized Gottlieb set $G({\Sigma}A;X,v,Y)$ with respect to v is a subgroup of $[{\Sigma}A,Y]$. If $v:X{\rightarrow}Y$ has a left homotopy inverse $u:X{\rightarrow}Y$, then for any $f{\in}G({\Sigma}A;X,v,Y)$, $g{\in}G({\Sigma}A;X,u,Y)$, the function spaces $L({\Sigma}A,X;uf)$ and $L({\Sigma}A,X;g)$ have the same homotopy type.