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Common fixed point theorems in intuitionistic fuzzy metric spaces

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Abstract

The purpose of this paper, using the idea of intuitionistic fuzzy set due to Atanassov [2], we define the notion of intuitionistic fuzzy metric spaces (see, [1]) due to Kramosil and Michalek [17] and Jungck’s common fixed point theorem ([11]) is generalized to intuitionistic fuzzy metric spaces. Further, we first formulate the definition of weakly commuting and R-weakly commuting mappings in intuitionistic fuzzy metric spaces and prove the intuitionistic fuzzy version of Pant’s theorem ([21]).

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science and Arts, Gazi University, Teknikokullar, 06500, Ankara, Turkey

    D. Turkoglu, C. Alaca & C. Yildiz

  2. Department of Mathematics Education, College of Education, Gyeongsang National University, 660-701, Chinju, Korea

    Y. J. Cho

  3. Department of Mathematics Education and the RINS, College of Education, Gyeongsang National University, 660-701, Chinju, Korea

    Y. J. Cho

Authors
  1. D. Turkoglu
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  2. C. Alaca
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  3. Y. J. Cho
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  4. C. Yildiz
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Corresponding authors

Correspondence to D. Turkoglu or Y. J. Cho.

Additional information

The third author was supported by the Korea Research Foundation Grant (KRF-2004-041-C00033).

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Turkoglu, D., Alaca, C., Cho, Y.J. et al. Common fixed point theorems in intuitionistic fuzzy metric spaces. J. Appl. Math. Comput. 22, 411–424 (2006). https://doi.org/10.1007/BF02896489

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  • DOI: https://doi.org/10.1007/BF02896489

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