• Kyungpook Mathematical Journal
• /
• v.18 no.1
• /
• pp.37-46
• /
• 1978

The first part of this note is concerned with a neighbourhood base characterisation of locally order-convex spaces. The notions of order*-inductive limits and order ultrabornologicity in the class of locally order-convex spaces are introduced and studied in the latter part. These are the non-convex generalisation of o-inductive limits and o-bornological spaces.

• Kyungpook Mathematical Journal
• /
• v.55 no.1
• /
• pp.181-189
• /
• 2015

In this paper, we study Baire property of a family of spaces which contains properly the family of all topological spaces and generalize the existing results. Also, we study the images and inverse images of such spaces.

• Korean Journal of Mathematics
• /
• v.5 no.1
• /
• pp.35-48
• /
• 1997

We will define the fuzzy quasi-proximity space and investigate some properties of fuzzy quasi-proximity spaces. We will prove the existences of initial fuzzy quasi-proximity structures. From this fact, we can define subspaces and products of fuzzy quasi-proximity spaces.

• Journal of the Chungcheong Mathematical Society
• /
• v.5 no.1
• /
• pp.167-172
• /
• 1992

In this paper, we introduce $T_0$, $T_1$ and Hausdorff axioms in fibrewise convergence spaces as a generalization of fibrewise topological spaces and of convergence spaces. Furthermore we investigate some results about the fibrewise Hausdorff convergence space.

• The Pure and Applied Mathematics
• /
• v.27 no.2
• /
• pp.97-108
• /
• 2020

In this paper, we prove common fixed point theorems for two mappings by using simulation function on fuzzy metric spaces. We also deduce some consequences in modular metric spaces.

• Journal of the Chungcheong Mathematical Society
• /
• v.1 no.1
• /
• pp.55-64
• /
• 1988

We introduce the concept of a w-Lindel$\ddot{o}$f space which is a more general concept than that of a Lindel$\ddot{o}$f spaces. We obtain some characterization about H-closed sapces and w-Lindel$\ddot{o}$f spaces. Also, we investigate their invariance properties.

• East Asian mathematical journal
• /
• v.18 no.1
• /
• pp.85-93
• /
• 2002

The concept of basic disconnectedness is introduced in the fuzzy bitopological spaces. Besides giving examples and some interesting properties of these spaces, we also establish several characterizations of these spaces.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.9 no.5
• /
• pp.550-554
• /
• 1999

We will define a fuzzy quasi-proximity space and give some examples of it. We show that the family M(X, C) of all fuzzy quasi-proximities on X which induce C is nonempty. Moreover we will study the relationship between the category of fuzzy closure spaces and that of fuzzy quasi-proximity spaces.

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• v.12 no.2
• /
• pp.113-120
• /
• 2012

In this paper we study various properties of the fuzzy linear maps over the fuzzy quotient spaces. In particular we obtain some exact sequences of the fuzzy linear maps over the fuzzy quotient spaces.

• The Pure and Applied Mathematics
• /
• v.16 no.3
• /
• pp.315-326
• /
• 2009

In this paper, we introduce Debreu integral of fuzzy mappings in Banach spaces in terms of the Debreu integral of set-valued mappings, investigate properties of Debreu integral of fuzzy mappings in Banach spaces and obtain the convergence theorem for Debreu integral of fuzzy mappings in Banach spaces.