Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 10, Issue 4, Pages 2369-2383Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2008.04.020
Keywords
Split feasibility problem; Multiple-sets split feasibility problem; Projection; Nonexpansive mapping; Sunny nonexpansive retraction; Fixed point; Accretive operator; Iterative algorithm; Perturbation; Duality map
Categories
Funding
- DGES [BFM2003-03893-CO2-01]
- Junta de Andalucia [FQM-127]
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Perturbation techniques for nonexpansive mappings are studied. An iterative algorithm involving perturbed mappings in a Banach space is proposed and proved to be strongly convergent to a fixed point of the original mapping. These techniques are applied to solve the split feasibility problem and the multiple-sets split feasibility problem, and to find zeros of accretive operators. (c) 2008 Elsevier Ltd. All rights reserved.
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