• 제목/요약/키워드: closed mapping

검색결과 98건 처리시간 0.024초

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

  • Kim, Ji-Yoon;Kim, Chang-Su
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제16권4호
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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

  • 문주란;안영신;허걸
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1995년도 추계학술대회 학술발표 논문집
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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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    • 제26권3_4호
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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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    • 제10권3호
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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
    • 대한수학회지
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    • 제38권6호
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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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퍼지 r-일반 열린 집합과 퍼지 r-일반 연속성에 관한 연구 (Fuzzy r-Generalized Open Sets and Fuzzy r-Generalized Continuity)

  • 민원근
    • 한국지능시스템학회논문지
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    • 제19권5호
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    • pp.695-698
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    • 2009
  • 본 논문에서는 퍼지 r-열린 집합을 일반화 시킨 퍼지 r-일반 열린 집합의 개념과 성질을 소개한다. 그리고 퍼지 r-일반 연속함수, 퍼지 r-일반 열린함수, 퍼지 r-일반 닫힌 함수의 개념과 특성을 연구한다.

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

  • 한천호
    • 산업기술연구
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    • 제5권
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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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