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Another control condition in an iterative method for nonexpansive mappings

Published online by Cambridge University Press:  17 April 2009

Hong-Kun Xu
Hong-Kun Xu
Affiliation:
Department of Mathematics, University of Durban-Westville, Private Bag X54001, Durban 4000, South Africa, e-mail: [email protected]
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Abstract

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We prove the convergence of an iterative method to a fixed point of a nonexpansive mapping in a uniformly smooth Banach space. We are able to relax one of the control conditions of P.L. Lions (1977).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 65 , Issue 1 , February 2002 , pp. 109 - 113
Copyright
Copyright © Australian Mathematical Society 2002

References

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