• Journal of the Chungcheong Mathematical Society
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• v.22 no.4
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• pp.667-673
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• 2009

In this paper, we introduce the notions of minimal precontinuity, m-preclosed graph, almost m-precompact and m-precompact and investigate some properties for such notions.

• Honam Mathematical Journal
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• v.32 no.1
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• pp.77-84
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• 2010

In this paper, we introduce the notion of almost minimal precontinuous function and investigate characterizations for such a function.

• Honam Mathematical Journal
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• v.31 no.4
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• pp.497-504
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• 2009

We introduce the concepts of M-preclosed graph and M$^*$-preopen mapping on spaces with minimal structures and investigate some properties of M$^*$-preopen mapping. We also investigate the relationships between M-precontinuous mappings and several types of m-compactness.

• Journal of the Korean Institute of Intelligent Systems
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• v.21 no.1
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• pp.128-131
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• 2011

In this paper, we introduce and study the concept of fuzzy r-$M^*$ preopen mappings between fuzzy r-minimal spaces. We also investigate the relationships among fuzzy r-M precontinuous mappings, fuzzy r-$M^*$-preopen mappings and several types of fuzzy r-minimal compactness.