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Abstract
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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

Ioannis K. Argyros

Department of Mathematics, University of Iowa, Iowa City 52242, IA, USA

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.