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A note on the L-fuzzy Banach’s contraction principle

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  • Martínez-Moreno, J.
  • Roldán, A.
  • Roldán, C.

Abstract

Recently, Alaca et al. [Alaca C, Turkoglu D, Yildiz C. Fixed points in intuitionistic fuzzy metric spaces. Chaos, Solitons & Fractals 2006;29:10738] proved fuzzy Banach fixed point theorem in intuitionistic fuzzy metric spaces and Saadati [Saadati R. Notes to the paper “fixed points in intuitionistic fuzzy metric spaces” and its generalization to L-fuzzy metric spaces. Chaos, Solitions & Fractals 2008;35:80–176] extended it in generalized fuzzy metric spaces. The purpose of this paper is to give a correct proof of the main result in Saadati [Saadati R. Notes to the paper “fixed points in intuitionistic fuzzy metric spaces” and its generalization to L-fuzzy metric spaces. Chaos, Solitions & Fractals 2008;35:80–176].

Suggested Citation

  • Martínez-Moreno, J. & Roldán, A. & Roldán, C., 2009. "A note on the L-fuzzy Banach’s contraction principle," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2399-2400.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:5:p:2399-2400
    DOI: 10.1016/j.chaos.2008.09.020
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    References listed on IDEAS

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    1. Alaca, Cihangir & Turkoglu, Duran & Yildiz, Cemil, 2006. "Fixed points in intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1073-1078.
    2. Saadati, Reza, 2008. "Notes to the paper “Fixed points in intuitionistic fuzzy metric spaces” and its generalization to L-fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 176-180.
    3. El Naschie, M.S., 2006. "Fuzzy Dodecahedron topology and E-infinity spacetime as a model for quantum physics," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1025-1033.
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