• International Journal of Fuzzy Logic and Intelligent Systems
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• v.6 no.3
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• pp.202-209
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• 2006

In a strictly two-sided, commutative biquantale, we study the relationships between the categories of Hutton (L, $\bigotimes$)- uniform spaces and (L, $\bigodot$ )-uniform spaces. We investigate the properties of them.

• Communications of the Korean Mathematical Society
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• v.22 no.4
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• pp.535-545
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• 2007

In this paper, we introduce the Pettis integral of fuzzy mappings in Banach spaces using the Pettis integral of closed set-valued mappings. We investigate the relations between the Pettis integral, weak integral and integral of fuzzy mappings in Banach spaces and obtain some properties of the Pettis integral of fuzzy mappings in Banach spaces.

• Journal of the Korean Mathematical Society
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• v.55 no.6
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• pp.1513-1528
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• 2018

The aim of this paper is to introduce the concept of generalized cone metric spaces over Banach algebras as a generalization of generalized metric spaces and present several fixed point results of a class of contractive mappings in generalized cone metric spaces over Banach algebras. Moreover, in order to support our main results, one example is given at the end of this paper.

• Proceedings of the Korean Society of Marine Engineers Conference
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• 2012.06a
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• pp.199-200
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• 2012

Test method and requirements of fixed water-based fire-fighting systems for Ro-Ro spaces and special category spaces were introduced for research engineer's reference.

• East Asian mathematical journal
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• v.24 no.3
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• pp.213-221
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• 2008

In this paper, a new class of fuzzy topological spaces called ordered fuzzy pre-extremally disconnected spaces is introduced. Tietze extension theorem for ordered fuzzy pre-extremally disconnected spaces has been discussed as in [9] besides proving several other propositions and lemmas.

• Journal of the Chungcheong Mathematical Society
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• v.26 no.1
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• pp.249-257
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• 2013

In this paper, we introduce and study the concepts of $WC^f_k$-spaces with respect to spaces which are generalized concepts of $C^f_k$-spaces for maps, and introduce the dual concepts of $WC^f_k$-spaces with respect to spaces and obtain some dual results.

• Honam Mathematical Journal
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• v.24 no.1
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• pp.131-142
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• 2002

A $1{\frac{1}{2}}$-starcompact space has one of the most curious properties among the spaces of starcompactness. It is not too far away from countably compact spaces and may be considered as the first candidate for extending theorems about countably compact spaces. Unfortunately, $1{\frac{1}{2}}$-starcompactness is not so easy to be recognized as 2-starcompactness which will follow from countable pracompactness. We investigate some properties around $1{\frac{1}{2}}$-starcompact spaces.

• Journal of the Chungcheong Mathematical Society
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• v.32 no.4
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• pp.393-400
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• 2019

Pajoohesh introduced the concept of k-metric spaces and Hiltzler and Seda defined the concept of metric-like spaces. Recently, Kopperman and Pajoohesh proved a fixed point theorem in complete k-metric spaces for a Lipschitz map with bound. In this paper, we prove a fixed point theorem in complete metric-like spaces for a Lipschitz map with bound.

• Journal of the Korean Mathematical Society
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• v.46 no.5
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• pp.949-966
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• 2009

In this paper we introduce in study a new class of complex Finsler spaces, namely the complex Randers spaces, for which the fundamental metric tensor and the Chern-Finsler connection are determined. A special approach is devoted to $K{\ddot{a}}ahler$-Randers metrics. Using the length arc parametrization for the extremal curves of the Euler-Lagrange equations we obtain a complex nonlinear connections of Lorentz type in a complex Randers space.

• Communications of the Korean Mathematical Society
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• v.34 no.1
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• pp.351-359
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• 2019

In this paper, we introduce a modification of extremally disconnected spaces which is said to be m-extremally disconnected. And we obtain many characterizations of m-extremally disconnected spaces. The concepts of ${\ast}$-extremally disconnected spaces, ${\ast}$-hyperconnected spaces, and generalized hyperconnectedness are as examples for this paper.