Fuzzy stability of an n-dimensional quadratic and additive functional equation

  • Authors:

  • Yang Hi Lee;Soon-Mo Jung

  • Affiliations:

  • Department of Mathematics Education, Gongju National University of Education, Gongju, Republic of Korea;Mathematics Section, College of Science and Technology, Hongik University, Jochiwon, Republic of Korea

  • Venue:
  • Advances in Fuzzy Systems
  • Year:
  • 2012

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Abstract

We will investigate a fuzzy version of stability for the functional equation 2f(Σi=1n xi)+Σ1≤i, j≤n,i≠j f (xi-xj) = (n+1)Σi-1n f (xi)+ (n - 1)Σi-1 f (-xi) in the sense of Mirmostafaee and Moslehian.