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Generalized Ulam-Hyers Stability of a General Mixed AQCQ-functional Equation in Multi-Banach Spaces: a Fixed Point Approach

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Abstract (2. Language): 
Using the fixed point method, we investigate the generalized Hyers-Ulam stability of the general mixed additive-quadratic-cubic-quartic functional equation f (x + ny)+ f (x − ny) = n2 f (x + y)+ n2 f (x − y)+2(1− n2) f (x) + n4 − n2 12 [ f (2y)+ f (−2y)−4f ( y)−4f (−y)] for fixed integers n with n 6= 0,±1 in multi-Banach spaces.
1032-1047