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http://dx.doi.org/10.4134/BKMS.2014.51.5.1511

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)
Publication Information
Bulletin of the Korean Mathematical Society / v.51, no.5, 2014 , pp. 1511-1525 More about this Journal
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.
Keywords
radical functional equations; generalized Hyers-Ulam stability; quasi-${\beta}$-normed spaces;
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