International Journal of Mathematics and Mathematical Sciences
Volume 9 (1986), Issue 3, Pages 583-587
doi:10.1155/S016117128600073X
Iterations converging to distinct solutions of some nonlinear operator equations in Banach space
Department of Mathematics, University of Iowa, Iowa City 52242, IA, USA
Received 29 April 1985; Revised 18 April 1986
Copyright © 1986 Ioannis K. Argyros. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We examine the solvability of multilinear equations of the formMk(x,x,…,x)−k times−=y, k=2,3,…where Mk is a k-linear operator on a Banach space X and y∈X is fixed.