Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/610

 Title: Stability of the Iteration Method for non Expansive Mappings Authors: Lemaire, B. Keywords: Convex MinimizationConvergenceIteration MethodGradient MethodMonotone InclusionsProx MethodStability Issue Date: 1996 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 22, No 3, (1996), 331p-340p Abstract: The general iteration method for nonexpansive mappings on a Banach space is considered. Under some assumption of fast enough convergence on the sequence of (“almost” nonexpansive) perturbed iteration mappings, if the basic method is τ−convergent for a suitable topology τ weaker than the norm topology, then the perturbed method is also τ−convergent. Application is presented to the gradient-prox method for monotone inclusions in Hilbert spaces. URI: http://hdl.handle.net/10525/610 ISSN: 1310-6600 Appears in Collections: Volume 22 Number 3

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