The stability of additive-quadratic functional equations in paranormed spaces

Chang Il Kim, Chul Kang
2015 International Journal of Mathematical Analysis  
In this paper, we prove Hyers-Ulam Stability of a class of Quadratic and Cubic functional equations in Paranormed spaces. 35 | Page Definition 2.3 The Paranorm is called total if in addition we have P(x) = 0 implies x = 0 Definition 2.4 The Frechet space is total and complete paranormed space.
doi:10.12988/ijma.2015.5369 fatcat:li7nugme4vaznlnnaua4aemv54