• Title/Summary/Keyword: almost continuity

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Fuzzy r-Generalized Almost Continuity on Fuzzy Generalized Topological Spaces (퍼지 일반화된 위상 공간에서 FUZZY r-GENERALIZED ALMOST CONTINUITY에 관한 연구)

  • Min, Won-Keun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.20 no.2
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    • pp.257-261
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    • 2010
  • In this paper, we introduce the concept of fuzzy r-generalized almost continuous mapping and obtain some characterizations of such a mapping. In particular, we investigate characterizations for the fuzzy r-generalized almost continuity by using the concept of fuzzy r-generalized regular open sets.

FROM STRONG CONTINUITY TO WEAK CONTINUITY

  • Kim, Jae-Woon
    • Journal of the Chungcheong Mathematical Society
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    • v.14 no.1
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    • pp.29-40
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    • 2001
  • In this note, we get the conditions such that strong continuity ${\Rightarrow}$ weak continuity plus interiority condition( wc+ic), and continuity ${\Rightarrow}$ wc+ic are true. And we investigate some equivalent conditions with weak continuity, some properties of weak continuity. And we show that almost compactness is preserved by weakly continuous function, and we improve some known results with respect to strong continuity.

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On Almost Continuity

  • Ekici, Erdal
    • Kyungpook Mathematical Journal
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    • v.46 no.1
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    • pp.119-130
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    • 2006
  • A new class of functions is introduced in this paper. This class is called almost ${\delta}$-precontinuity. This type of functions is seen to be strictly weaker than almost precontinuity. By using ${\delta}$-preopen sets, many characterizations and properties of the said type of functions are investigated.

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Fuzzy semi-regular spaces and fuzzy $\delta$-continuous functions

  • Kim, Yong-Chan;Ko, Jung-Mi
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.1 no.1
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    • pp.69-74
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    • 2001
  • We introduce fuzzy semi-regular spaces. Furthermore, we investigate the relations among fuzzy super continuity, fuzzy $\delta$-continuity and fuzzy almost continuity in fuzzy topological spaces in view of the definition of Sostak. We study some properties between them.

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ON δgs-CLOSED SETS AND ALMOST WEAKLY HAUSDORFF SPACES

  • Park, Jin-Han;Song, Dae-Seob;Lee, Bu-Young
    • Honam Mathematical Journal
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    • v.29 no.4
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    • pp.597-615
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    • 2007
  • The aim of this paper is to introduce the class of ${\delta}gs$-closed sets and obtain characterizations of almost weakly Hausdorff spaces due to Dontchev and Ganster. We also introduce the notion of ${\delta}gs$-continuity and investigate the relationships between it and other types of continuity.

AUTOMATIC CONTINUITY OF ALMOST MULTIPLICATIVE LINEAR FUNCTIONALS ON FRÉCHET ALGEBRAS

  • Honary, Taher Ghasemi;Omidi, Mashaallah;Sanatpour, Amir Hossein
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.3
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    • pp.641-649
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    • 2016
  • A linear functional T on a $Fr{\acute{e}}echet$ algebra (A, (pn)) is called almost multiplicative with respect to the sequence ($p_n$), if there exists ${\varepsilon}{\geq}0$ such that ${\mid}Tab-TaTb{\mid}{\leq}{\varepsilon}p_n(a)p_n(b)$ for all $n{\in}\mathbb{N}$ and for every $a,b{\in}A$. We show that an almost multiplicative linear functional on a $Fr{\acute{e}}echet$ algebra is either multiplicative or it is continuous, and hence every almost multiplicative linear functional on a functionally continuous $Fr{\acute{e}}echet$ algebra is continuous.

ON FUZZY ALMOST S-CONTINUOUS FUNCTIONS

  • Cho, Sung Ki
    • Korean Journal of Mathematics
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    • v.4 no.2
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    • pp.95-100
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    • 1996
  • In this note, the notion of fuzzy almost s-continuity is introduced and some results related to this notion are obtained.

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