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Extension of contractive maps in the Menger probabilistic metric space

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  • Razani, Abdolrahman
  • Fouladgar, Kaveh

Abstract

In this article, the topological properties of the Menger probabilistic metric spaces and the mappings between these spaces are studied. In addition, contractive and k-contractive mappings are introduced. As an application, a new fixed point theorem in a chainable Menger probabilistic metric space is proved.

Suggested Citation

  • Razani, Abdolrahman & Fouladgar, Kaveh, 2007. "Extension of contractive maps in the Menger probabilistic metric space," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1724-1731.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:5:p:1724-1731
    DOI: 10.1016/j.chaos.2006.05.022
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    References listed on IDEAS

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    1. Ghaemi, M.B. & Razani, Abdolrahman, 2006. "Fixed and periodic points in the probabilistic normed and metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 28(5), pages 1181-1187.
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    Cited by:

    1. 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.

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