• Korean Journal of Mathematics
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• v.21 no.4
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• pp.375-382
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• 2013

In this paper, I introduce the notion of regular convergence space and give some properties of this space. And I give some conditions for the regularity of continuous convergence structure.

• Korean Journal of Mathematics
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• v.4 no.2
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• pp.173-178
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• 1996

In this paper, we discuss quasi-fuzzy H-closed space and introduce ${\theta}$-convergence of prefilter in fuzzy topological space. And we define ${\theta}$-closed fuzzy set using by ${\theta}$-convergence.

• Honam Mathematical Journal
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• v.43 no.3
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• pp.417-431
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• 2021

In this study, we introduced the notions of rough statistical convergence and defined the set of rough statistical limit points of a sequence and obtained statistical convergence criteria associated with this set in 2-normed space. Then, we proved that this set is closed and convex in 2-normed space. Also, we examined the relations between the set of statistical cluster points and the set of rough statistical limit points of a sequence in 2-normed space.

• Journal of Korea Multimedia Society
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• v.21 no.11
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• pp.1333-1341
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• 2018

Recently, alleys, villages and traditional market spaces have been recreated as complex cultural spaces due to urban renewal or village community policies. However, previous studies only refer to buildings such as museums and libraries in dealing with complex cultural spaces. The purpose of this study is to suggest the recreated complex cultural space as a natural convergence type and analyze its characteristics. Therefore, this study aims to reestablish the concept and type of the newly created complex cultural space. For this study, Busan Bosu-dong Bookstores Alley, Daegu Kim Gwangseok-street, Andong Traditional Market and Andong Shin-sedong Mural Village were selected as research examples. As a result of the study, the natural convergence space reflects the locality of the contents constituting the space, and the various values are convergenced. And this type of space is being reborn as an advanced case of urban regeneration and serves as a representative tourist destination in the region. As a next study of this study, we proposed social studies such as quantitative research and qualitative research.

• Proceeding of Spring/Autumn Annual Conference of KHA
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• 2008.11a
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• pp.188-192
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• 2008

The Purpose of this paper is to analyze of community space of high-rise housing as a basic research towards developing a model of spacial convergence. For this, 10 cases of high-rise housing complexes are compiled. Research methods are as follows. First, through the analysis of 10 high-rise housing complexes, the types of community space program are categorized by concepts. Second, community space plans are analyzed by floor. The results of this study are summarized as follows. First, through the analysis of 10 cases, the types of community space program are classified 8 categories : Culture, Health, Leisure, Education, Life-style Assistance, Business Assistance, Open Space, Commercial Facility. Second, community space plans are arranged at the lower floor of the building at a high ratio. Third, the types of convergence model for community programs are suggested by 4 categories : Human, Time, Experience, Local Community. Fourth, community space configuration is categorized by 4 types.

• Journal of the Chungcheong Mathematical Society
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• v.28 no.1
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• pp.1-12
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• 2015

We present a local convergence analysis for inexact Newton-like method in a Banach space under weaker Lipschitz condition. The convergence ball is enlarged and the estimates on the error distances are more precise under the same computational cost as in earlier studies such as [6, 7, 11, 18]. Some special cases are considered and applications for solving nonlinear systems using the Newton-arithmetic mean method are improved with the new convergence technique.

• Journal of applied mathematics & informatics
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• v.40 no.1_2
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• pp.69-83
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• 2022

We investigate the concept of lacunary statistical convergence and lacunary strongly convergence for sequence of sets in intuitionistic fuzzy metric space (IFMS) and examine their characterization. We obtain some inclusion relation relating to these concepts. Further some necessary and sufficient conditions for equality of the sets of statistical convergence and lacunary statistical convergence for sequence of sets in IFMS have been established. The concept of strong Cesàro summability in IFMS has been defined and some results are established.

• Journal of applied mathematics & informatics
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• v.41 no.3
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• pp.541-552
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• 2023

In 2005, Patterson studied lacunary statistical convergence of double sequences of real numbers and, in 2009, Mursaleen introduced notion of lacunary statistical convergence of single sequences in intuitionistic fuzzy normed space. The current work intends to investigate the lacunary statistical convergence of double sequences and some significant conclusions on the algebra of the lacunary statistical limit of double sequences in intuitionistic fuzzy normed space. In addition, we have studied some examples to support the definitions.

• East Asian mathematical journal
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• v.21 no.1
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• pp.27-39
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• 2005

We will define p-stack convergence spaces and show that each neighborhood structure is uniquely determined by p-stack convergence structure. Also, we will show that p-stack convergence spaces are a generalization of neighborhood spaces.

• Korean Journal of Mathematics
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• v.30 no.1
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• pp.155-160
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• 2022

Let X be a partial metric space generated by a partial metric p. In this paper, we introduce the notions of statistical convergence and strongly Cesàro summability in partial metric spaces. Also, we investigate the relations between the statistical convergence and strongly Cesàro summability.