• Honam Mathematical Journal
• /
• v.35 no.4
• /
• pp.757-764
• /
• 2013

In this paper, we give sufficient conditions for a map with nonconvex values to have a continuous selection and the selection extension property in LC-metric spaces under the one-point extension property. And we apply it to weakly lower semicontinuous maps and generalize previous results. We also get a continuous selection theorem for almost lower semicontinuous maps with closed sub-admissible values in $\mathbb{R}$-trees.

• Communications of the Korean Mathematical Society
• /
• v.26 no.2
• /
• pp.291-296
• /
• 2011

Cs$\'{a}$sz$\'{a}$r [3] introduced the notions of ${\gamma}$-compact and ${\gamma}$-operation on a topological space. In this paper, we introduce the notions of almost ${\Gamma}$-compact, (${\gamma},{\tau}$)-continuous function and (${\gamma},{\tau}$)-open function defined by ${\gamma}$-operation on a topological space and investigate some properties for such notions.

• Journal of the Chungcheong Mathematical Society
• /
• v.32 no.2
• /
• pp.245-250
• /
• 2019

In this paper, the notion of ${\gamma}$-operation on a supratopological space is introduced. We found that the ${\gamma}$-operation induces a supratopology (topology) containing a given supratopology. We also introduce the notions of (${\gamma}$, S)-continuous function and almost ${\Gamma}$-supracompact defined by ${\gamma}$-operation on a supratopological space and investigate some properties for such notions.

• Proceedings of the Korean Institute of Intelligent Systems Conference
• /
• 2002.05a
• /
• pp.285-288
• /
• 2002

In this paper, we introduce the concept of a fuzzy almost c-continuity and investigate some of its properties.

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• v.9 no.2
• /
• pp.128-132
• /
• 2009

In this paper, we introduce the concept of IVF weakly M-continuity and investigate some characterizations for IVF weakly M-continuous mappings between an IVF minimal space and an IVF topological space.

• Journal of the Korean Mathematical Society
• /
• v.15 no.2
• /
• pp.109-115
• /
• 1979

• Journal of the Korean Mathematical Society
• /
• v.14 no.2
• /
• pp.229-234
• /
• 1978

• Kyungpook Mathematical Journal
• /
• v.28 no.1
• /
• pp.71-77
• /
• 1988

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• v.2 no.2
• /
• pp.153-158
• /
• 2002

In this paper we introduce the concept of a fuzzy almost c-continuity and investigate some of its properties.

• Kyungpook Mathematical Journal
• /
• v.49 no.2
• /
• pp.299-312
• /
• 2009

In the present paper we investigate the existence of almost periodic processes of ecological systems which are presented with nonautonomous N-dimensional impulsive Lotka Volterra competitive systems with dispersions and fixed moments of impulsive perturbations. By using the techniques of piecewise continuous Lyapunov's functions new sufficient conditions for the global exponential stability of the unique almost periodic solutions of these systems are given.