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A common fixed point theorem of compatible maps in Menger space

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  • Razani, Abdolrahman
  • Shirdaryazdi, Maryam

Abstract

Singh and Jain proved a common fixed point theorem for six maps [Singh B, Jain S. A fixed point theorem in Menger space thought weak compatibility. J Math Anal Appl 2005;301:439–48]. In this paper, a new generalization of this theorem is given. In fact, a common fixed point theorem is proved for any even number of maps.

Suggested Citation

  • Razani, Abdolrahman & Shirdaryazdi, Maryam, 2007. "A common fixed point theorem of compatible maps in Menger space," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 26-34.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:1:p:26-34
    DOI: 10.1016/j.chaos.2005.10.096
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    References listed on IDEAS

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    1. S. N. Mishra & Nilima Sharma & S. L. Singh, 1994. "Common fixed points of maps on fuzzy metric spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 17, pages 1-6, January.
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    Cited by:

    1. Imdad, M. & Ali, Javid & Tanveer, M., 2009. "Coincidence and common fixed point theorems for nonlinear contractions in Menger PM spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3121-3129.
    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. Deschrijver, Glad & O’Regan, Donal & Saadati, Reza & Mansour Vaezpour, S., 2009. "L-Fuzzy Euclidean normed spaces and compactness," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 40-45.
    4. Choudhury, Binayak S. & Das, Krishnapada, 2009. "A coincidence point result in Menger spaces using a control function," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3058-3063.
    5. Ćirić, Ljubomir B. & Ješić, Siniša N. & Ume, Jeong Sheok, 2008. "The existence theorems for fixed and periodic points of nonexpansive mappings in intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 781-791.
    6. Ješić, Siniša N., 2009. "Convex structure, normal structure and a fixed point theorem in intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 292-301.

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