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A common fixed point for operators in probabilistic normed spaces

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  • Ghaemi, M.B.
  • Lafuerza-Guillen, Bernardo
  • Razani, A.

Abstract

Probabilistic Metric spaces was introduced by Karl Menger. Alsina, Schweizer and Sklar gave a general definition of probabilistic normed space based on the definition of Menger [Alsina C, Schweizer B, Sklar A. On the definition of a probabilistic normed spaces. Aequationes Math 1993;46:91–8]. Here, we consider the equicontinuity of a class of linear operators in probabilistic normed spaces and finally, a common fixed point theorem is proved. Application to quantum Mechanic is considered.

Suggested Citation

  • Ghaemi, M.B. & Lafuerza-Guillen, Bernardo & Razani, A., 2009. "A common fixed point for operators in probabilistic normed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1361-1366.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:3:p:1361-1366
    DOI: 10.1016/j.chaos.2007.09.016
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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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