• 제목/요약/키워드: Common fixed point theorem

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Common fixed point theorem for a sequence of mappings in intuitionistic fuzzy metric space

  • Park, Jong-Seo;Kang, Hong-Jae
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제7권1호
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    • pp.30-33
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    • 2007
  • Park and Kim [4], Grabiec [1] studied a fixed point theorem in fuzzy metric space, and Vasuki [8] proved a common fixed point theorem in a fuzzy metric space. Park, Park and Kwun [6] defined the intuitionistic fuzzy metric space in which it is a little revised in Park's definition. Using this definition, Park, Kwun and Park [5] and Park, Park and Kwun [7] proved a fixed point theorem in intuitionistic fuzzy metric space. In this paper, we will prove a common fixed point theorem for a sequence of mappings in a intuitionistic fuzzy metric space. Our result offers a generalization of Vasuki's results [8].

A common fixed point theorem in the intuitionistic fuzzy metric space

  • Park Jong-Seo;Kim Seon-Yu;Kang Hong-Jae
    • 한국지능시스템학회논문지
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    • 제16권3호
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    • pp.321-325
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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.

COMMON FIXED POINT THEOREM FOR OCCASIONALLY WEAKLY BAISED MAPPINGS AND ITS APPLICATION TO BEST APPROXIMATION

  • Deshpande, Bhavana;Chouhan, Suresh
    • East Asian mathematical journal
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    • 제28권5호
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    • pp.543-552
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    • 2012
  • The aim of this paper is to prove a common fixed point theorem in normed linear spaces for discontinuous, occasionally weakly biased mappings without assuming completeness of the space. We give an example to illustrare our theorem. We also give an application of our theorem to best approximation theory. Our theorem improve the results of Gregus [9], Jungck [12], Pathak, Cho and Kang [22], Sharma and Deshpande [26]-[28].

A WEAK COMMON FIXED POINT THEOREM IN NORMED ALMOST LINEAR SPACES

  • Lee, Sang-Han
    • Journal of applied mathematics & informatics
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    • 제4권2호
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    • pp.573-581
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    • 1997
  • In this paper we prove a weak common fixed point theo-rem in a normed almost linear space which is different from the result of S. P. Singh and B.A. Meade [9]. However for a Banach X our theorem is equal to the result of S. P. Singh and B. A. Meade.