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 On the stability of radical functional equations in quasi-$\beta$-normed spaces Bull. Korean Math. Soc. 2014 Vol. 51, No. 5, 1511-1525 https://doi.org/10.4134/BKMS.2014.51.5.1511Printed September 30, 2014 Yeol Je Cho, Madjid Eshaghi Gordji, Seong Sik Kim, and Youngoh Yang King Abdulaziz University, Center of Excellence in Nonlinear Analysis and Applications, Dongeui University, Jeju National University 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 MSC numbers : 39B72, 39B82, 39B52, 47H09 Downloads: Full-text PDF