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Probabilistic (Quasi)metric Versions for a Stability Result of Baker

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  • Dorel Miheţ
  • Claudia Zaharia

Abstract

By using the fixed point method, we obtain a version of a stability result of Baker in probabilistic metric and quasimetric spaces under triangular norms of Hadžić type. As an application, we prove a theorem regarding the stability of the additive Cauchy functional equation in random normed spaces.

Suggested Citation

  • Dorel Miheţ & Claudia Zaharia, 2012. "Probabilistic (Quasi)metric Versions for a Stability Result of Baker," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:269701
    DOI: 10.1155/2012/269701
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    References listed on IDEAS

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    1. Miheţ, Dorel, 2009. "A note on a fixed point theorem in Menger probabilistic quasi-metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2349-2352.
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