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The Stability of the Quartic Functional Equation in Random Normed Spaces

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Abstract

The main problem analyzed in this paper consists in showing that, under some conditions, every almost quartic mapping from a linear space to a random normed space under the Łukasiewicz t-norm can be suitably approximated by a quartic function, which is unique.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, West University of Timişoara, Bv. V. Parvan 4, 300223, Timişoara, Romania

    D. Miheţ

  2. Faculty of Sciences, University of Shomal, Amol, Iran

    R. Saadati

  3. Department of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran, 15914, Iran

    R. Saadati & S. M. Vaezpour

Authors
  1. D. Miheţ
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  2. R. Saadati
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  3. S. M. Vaezpour
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Correspondence to D. Miheţ.

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Miheţ, D., Saadati, R. & Vaezpour, S.M. The Stability of the Quartic Functional Equation in Random Normed Spaces. Acta Appl Math 110, 797–803 (2010). https://doi.org/10.1007/s10440-009-9476-7

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