Acta Mathematica Sinica, English Series

, Volume 29, Issue 7, pp 1381–1390

Orthogonality and quintic functional equations

  • Choonkil Park
  • Jian Lian Cui
  • Madjid Eshaghi Gordji
Article

DOI: 10.1007/s10114-013-1061-3

Cite this article as:
Park, C., Cui, J.L. & Gordji, M.E. Acta. Math. Sin.-English Ser. (2013) 29: 1381. doi:10.1007/s10114-013-1061-3

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.

Keywords

Hyers-Ulam stabilityorthogonally quintic functional equationfixed pointorthogonality spacenon-Archimedean Banach space

MR(2010) Subject Classification

39B5546S1047H1039B5247S1030G0646H2512J25

Copyright information

© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Choonkil Park
    • 1
  • Jian Lian Cui
    • 2
  • Madjid Eshaghi Gordji
    • 3
  1. 1.Department of Mathematics, Research Institute for Natural SciencesHanyang UniversitySeoulSouth Korea
  2. 2.Department of Mathematical SciencesTsinghua UniversityBeijingP. R. China
  3. 3.Department of MathematicsSemnan UniversitySemnanIran