Article

Acta Mathematica Sinica, English Series

, Volume 29, Issue 7, pp 1381-1390

Orthogonality and quintic functional equations

  • Choonkil ParkAffiliated withDepartment of Mathematics, Research Institute for Natural Sciences, Hanyang University Email author 
  • , Jian Lian CuiAffiliated withDepartment of Mathematical Sciences, Tsinghua University
  • , Madjid Eshaghi GordjiAffiliated withDepartment of Mathematics, Semnan University

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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.

Keywords

Hyers-Ulam stability orthogonally quintic functional equation fixed point orthogonality space non-Archimedean Banach space

MR(2010) Subject Classification

39B55 46S10 47H10 39B52 47S10 30G06 46H25 12J25