On a Class of Multilinear Operator Equations

  • Jaan Janno

    Tallin Technical University, Estonia
  • Lothar von Wolfersdorf

    Technische Universität, Freiberg, Germany


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. 935–948

DOI 10.4171/ZAA/738