Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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A FIXED POINT APPROACH TO THE STABILITY OF QUADRATIC FUNCTIONAL EQUATION

  • Jung, Soon-Mo (Mathematics Sectiion College of Science and Technology, Hong-Ik University) ;
  • Kim, Tae-Soo (Department of Mathematics, Chungbuk National University) ;
  • Lee, Ki-Suk (Department of Mathematics Education, Korea National University of Education)
  • Published : 2006.08.01
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Abstract

[ $C\u{a}dariu$ ] and Radu applied the fixed point method to the investigation of Cauchy and Jensen functional equations. In this paper, we adopt the idea of $C\u{a}dariu$ and Radu to prove the Hyers-Ulam-Rassias stability of the quadratic functional equation for a large class of functions from a vector space into a complete ${\gamma}-normed$ space.

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References

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