FIXED POINTS AND STABILITY FOR QUARTIC MAPPINGS IN β-NORMED LEFT BANACH MODULES ON BANACH ALGEBRAS

摘要

The goal of the present paper is to investigate some new HUR-stability results by applying the alternative fixed point of generalized quartic functional equation n∑k=2(k∑i1=2 k+1∑i2 =i1+1 ··· n in k+1=in-k+1)f(n∑i=1,i=i1,,in-k+1 x i∑n-k+1 r=1 xir)+ f(n∑i=1 x i) = 2n-2∑1≤i