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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

Received 29 April 1985; Revised 18 April 1986

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.