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Contraction theorems in fuzzy metric space

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  • Farnoosh, R.
  • Aghajani, A.
  • Azhdari, P.

Abstract

In this paper, the results on fuzzy contractive mapping proposed by Dorel Mihet will be proved for B-contraction and C-contraction in the case of George and Veeramani fuzzy metric space. The existence of fixed point with weaker conditions will be proved; that is, instead of the convergence of subsequence, p-convergence of subsequence is used.

Suggested Citation

  • Farnoosh, R. & Aghajani, A. & Azhdari, P., 2009. "Contraction theorems in fuzzy metric space," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 854-858.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:2:p:854-858
    DOI: 10.1016/j.chaos.2008.04.009
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    References listed on IDEAS

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    1. El Naschie, M.S., 2005. "On a class of fuzzy Kähler-like manifolds," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 257-261.
    2. El Naschie, M.S., 2005. "From experimental quantum optics to quantum gravity via a fuzzy Kähler manifold," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 969-977.
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    Cited by:

    1. Parvin Azhdari, 2015. "Some Theorems about -Contraction in Fuzzy Metric Spaces," Journal of Mathematics, Hindawi, vol. 2015, pages 1-5, October.

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