• 제목/요약/키워드: fuzzy metric space

검색결과 94건 처리시간 0.021초

COMPATIBLE MAPS OF TWO TYPES AND COMMON FIXED POINT THEOREMS ON INTUITIONISTIC FUZZY METRIC SPACE

  • Park, Jong-Seo
    • 호남수학학술지
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    • 제32권2호
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    • pp.283-298
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    • 2010
  • In this paper, we introduce the concept of compatible mapping of type(${\alpha}$-1) and type(${\alpha}$-2), prove the some properties and common fixed point theorem for such maps in intuitionistic fuzzy metric space. Also, we give the example. Our research are an extension for the results of Kutukcu and Sharma[3] and Park et.al.[11].

SEMI-COMPATIBILITY, COMPATIBILITY AND FIXED POINT THEOREMS IN FUZZY METRIC SPACE

  • Singh, Bijendra;Jain, Shishir
    • 충청수학회지
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    • 제18권1호
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    • pp.1-22
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    • 2005
  • The object of this paper is to introduce the concept of a pair of semi-compatible self-maps in a fuzzy metric space to establish a fixed point theorem for four self-maps. It offers an extension of Vasuki [10] to four self-maps under the assumption of semi-compatibility and compatibility, repsectively. At the same time, these results give the alternate results of Grebiec [5] and Vasuki [9] as well.

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직관적 퍼지거리공간에서 공통 부동점 정리 (A common fixed point theorem in the intuitionistic fuzzy metric space)

  • 박종서;김선유;강홍재
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2006년도 춘계학술대회 학술발표 논문집 제16권 제1호
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    • pp.71-74
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    • 2006
  • The purpose of this paper is to establish the common fixed point theorem in the intuitionistic fuzzy metric space in which it is a little revised in Park [11]. Our research are an extension of Jungck's common fixed point theorem [8] in the intuitionistic fuzzy metric space.

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Sequence Space m(M, φ)F of Fuzzy Real Numbers Defined by Orlicz Functions with Fuzzy Metric

  • Tripathy, Binod Chandra;Borgohain, Stuti
    • Kyungpook Mathematical Journal
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    • 제53권3호
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    • pp.319-332
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    • 2013
  • The sequence space $m(M,{\phi})^F$ of fuzzy real numbers is introduced. Some properties of this sequence space like solidness, symmetricity, convergence-free etc. are studied. We obtain some inclusion relations involving this sequence space.