By means of contraction principle in a Banach space with a scale of norms existence, uniqueness and stability of solutions are proved for a general class of operator equations including multilinear ones where are some operators. The theorems are applicable to equations with operators of generalized convolution type.
Cite this article
Jaan Janno, Lothar von Wolfersdorf, On a Class of Multilinear Operator Equations. Z. Anal. Anwend. 15 (1996), no. 4, pp. 935–948DOI 10.4171/ZAA/738