• Title/Summary/Keyword: closed mapping

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P-I-OPEN MAPPINGS, P-I-CONTINUOUS MAPPINGS AND P-I-IRRESOLUTE MAPPINGS

  • Kim, Ji-Yoon;Kim, Chang-Su
    • The Pure and Applied Mathematics
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    • v.16 no.4
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    • pp.383-404
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    • 2009
  • The notions of P-I-open (closed) mappings, P-I-continuous mappings, P-I-neighborhoods, P-I-irresolute mappings and I-irresolute mappings are introduced. Relations between P-I-open (closed) mappings and I-open (closed) mappings are given. Characterizations of P-I-open (closed) mappings are provided. Relations between a P-I-continuous mapping and an I-continuous mapping are discussed, and characterizations of a P-I-continuous mapping are considered. Conditions for a mapping to be an I-irresolute mapping (resp. P-I-irresolute mapping) are provided.

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A Note on a-Fuzzy Closed And a-Fuzzy Continuous Mappings

  • Moon, J. R.;Ahn, Y. S.;Hur, K.
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1995.10b
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    • pp.374-377
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    • 1995
  • We introduce new weak forms of fuzzy continuity and fuzzy closed mapping(which we call a-fuzzy continuity and a-fuzzy closed mapping). And we investigate some of the basic properties of a-fuzzy continuous mapping and a-fuzzy closed mappings.

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FUZZY PAIRWISE $\gamma$-IRRESOLUTE HOMEOMORPHISMS

  • Lee, Hyo-Sam;Lee, Joo-Sung;Im, Young-Bin
    • Journal of applied mathematics & informatics
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    • v.26 no.3_4
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    • pp.757-766
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    • 2008
  • We define and characterize a fuzzy pairwise $\gamma$-irresolute open mapping (fuzzy pairwise $\gamma$-irresolute closed mapping) on a fuzzy bitopological space. We also characterize a fuzzy pairwise $\gamma$-irresolute homeomorphism on a fuzzy bitopological space.

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Fuzzy γ-Quasi Open Set and Fuzzy γ-Quasi Continuity

  • Min, Won-Keun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.10 no.3
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    • pp.200-202
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    • 2010
  • In this paper, we introduce the concept of fuzzy ${\gamma}$-quasi open sets which are generalizations of fuzzy ${\gamma}$-open sets, and obtain some basic properties of such fuzzy sets. Also we introduce and study the concepts of fuzzy ${\gamma}$-quasi continuous mapping and fuzzy ${\gamma}$-quasi open(closed) mapping.

DEMI-CLOSED PRINCIPLE AND WEAK CONVERGENCE PROBLEMS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

  • Chang, Shih-Sen;Cho, Yeol-Je;Haiyun Zhou
    • Journal of the Korean Mathematical Society
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    • v.38 no.6
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    • pp.1245-1260
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    • 2001
  • A demi-closed theorem and some new weak convergence theorems of iterative sequences for asymptotically nonexpansive and nonexpansive mappings in Banach spaces are obtained. The results presented in this paper improve and extend the corresponding results of [1],[8]-[10],[12],[13],[15],[16], and [18].

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Fuzzy r-Generalized Open Sets and Fuzzy r-Generalized Continuity (퍼지 r-일반 열린 집합과 퍼지 r-일반 연속성에 관한 연구)

  • Min, Won-Keun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.5
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    • pp.695-698
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    • 2009
  • In this paper, we introduce the concept of fuzzy r-generalized open sets which are generalizations of fuzzy r-open sets defined by Lee and Lee [2] and obtain some basic properties of their structures. Also we introduce and study the concepts of fuzzy r-generalized continuous mapping, fuzzy r-generalized open mapping and fuzzy r-generalized closed mapping.

A Note on S-closed Space and RC-convergence. (S-closed 공간(空間)과 RC 수렴(收斂)에 관하여)

  • Han, Chun-Ho
    • Journal of Industrial Technology
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    • v.5
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    • pp.47-49
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    • 1985
  • Semi-open을 기초로 하여 만들어진 S-closed 공간의 일반적인 성질을 살펴보고 S-closed 공간과 (maximum) filterbase와의 관계를 조사하였다. 이를 바탕으로 regular closed된 cover C, regular open set인 족(族) C, rc-accumulation, (maximum) filterbase에서의 관계(關係)를 살펴 보았다. Mapping theory에서 almost-open almost-continuous map f가 almost continuous되는 것을 보였다.

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