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Common fixed point theorems for fuzzy mappings under Φ-contraction condition

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  • Qiu, Dong
  • Shu, Lan
  • Guan, Jian

Abstract

In this paper, under Φ-contraction condition, we prove common fixed point theorems for fuzzy mappings in the space of fuzzy sets on a compact metric space with the d∞-metric for fuzzy sets.

Suggested Citation

  • Qiu, Dong & Shu, Lan & Guan, Jian, 2009. "Common fixed point theorems for fuzzy mappings under Φ-contraction condition," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 360-367.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:1:p:360-367
    DOI: 10.1016/j.chaos.2008.01.003
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    References listed on IDEAS

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    1. 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.
    2. Razani, Abdolrahman, 2006. "Existence of fixed point for the nonexpansive mapping of intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 367-373.
    3. Abu-Donia, H.M., 2007. "Common fixed point theorems for fuzzy mappings in metric space under ϕ-contraction condition," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 538-543.
    4. Saadati, Reza & Razani, Abdolrahman & Adibi, H., 2007. "A common fixed point theorem in L-fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 358-363.
    5. Alaca, Cihangir & Turkoglu, Duran & Yildiz, Cemil, 2006. "Fixed points in intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1073-1078.
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    Cited by:

    1. Azam, Akbar & Arshad, Muhammad & Beg, Ismat, 2009. "Fixed points of fuzzy contractive and fuzzy locally contractive maps," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2836-2841.

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