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Orthogonality and quintic functional equations

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Abstract

Using the fixed point method, we prove the Hyers-Ulam stability of an orthogonally quintic functional equation in Banach spaces and in non-Archimedean Banach spaces.

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Authors and Affiliations

  1. Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul, 133-791, South Korea

    Choonkil Park

  2. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, P. R. China

    Jian Lian Cui

  3. Department of Mathematics, Semnan University, P. O. Box, 35195-363, Semnan, Iran

    Madjid Eshaghi Gordji

Authors
  1. Choonkil Park
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  2. Jian Lian Cui
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  3. Madjid Eshaghi Gordji
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Correspondence to Choonkil Park.

Additional information

The first author is supported by Basic Science Research Program through National Research Foundation of Korea funded by the Ministry of Education, Science and Technology (Grant No. NRF-2012R1A1A2004299)

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Park, C., Cui, J.L. & Gordji, M.E. Orthogonality and quintic functional equations. Acta. Math. Sin.-English Ser. 29, 1381–1390 (2013). https://doi.org/10.1007/s10114-013-1061-3

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