Bull. Korean Math. Soc. 2014; 51(5): 1511-1525
Printed September 30, 2014
https://doi.org/10.4134/BKMS.2014.51.5.1511
Copyright © The Korean Mathematical Society.
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
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
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