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Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces

Author

Listed:
  • Saurabh Manro
  • Sanjay Kumar
  • S. S. Bhatia
  • Kenan Tas

Abstract

This paper consists of main two sections. In the first section, we prove a common fixed point theorem in modified intuitionistic fuzzy metric space by combining the ideas of pointwise R‐weak commutativity and reciprocal continuity of mappings satisfying contractive conditions. In the second section, we prove common fixed point theorems in modified intuitionistic fuzzy metric space from the class of compatible continuous mappings to noncompatible and discontinuous mappings. Lastly, as an application, we prove fixed point theorems using weakly reciprocally continuous noncompatible self‐mappings on modified intuitionistic fuzzy metric space satisfying some implicit relations.

Suggested Citation

  • Saurabh Manro & Sanjay Kumar & S. S. Bhatia & Kenan Tas, 2013. "Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:189321
    DOI: 10.1155/2013/189321
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    References listed on IDEAS

    as
    1. Saadati, Reza & Park, Jin Han, 2006. "On the intuitionistic fuzzy topological spaces," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 331-344.
    2. Saadati, R. & Sedghi, S. & Shobe, N., 2008. "Modified intuitionistic fuzzy metric spaces and some fixed point theorems," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 36-47.
    3. Gerald Jungck, 1986. "Compatible mappings and common fixed points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-9, January.
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    Cited by:

    1. Mila Stojaković & Ljiljana Gajić & Biljana Carić, 2013. "Fixed Point and Subfixed Point for Fuzzy Mappings in Generalized Metric Fuzzy Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).

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