Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON THE STABILITY OF RADICAL FUNCTIONAL EQUATIONS IN QUASI-β-NORMED SPACES

  • Cho, Yeol Je (Department of Mathematics Education and the RINS Gyeongsang National University, Department of Mathematics Faculty of Science King Abdulaziz University) ;
  • Gordji, Madjid Eshaghi (Madjid Eshaghi Gordji Department of Mathematics Semnan University, Center of Excellence in Nonlinear Analysis and Applications Semnan University) ;
  • Kim, Seong Sik (Department of Mathematics Dongeui University) ;
  • Yang, Youngoh (Department of Mathematics Jeju National University)
  • Received : 2013.08.03
  • Published : 2014.09.30
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Abstract

In this paper, we prove the generalized Hyers-Ulam stability results controlled by considering approximately mappings satisfying conditions much weaker than Hyers and Rassias conditions for radical quadratic and radical quartic functional equations in quasi-${\beta}$-normed spaces.

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References

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