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Combining the auxiliary problem principle with approximation methods

Abstract : The paper deals with iterative schemes for finding a zero of a maximal monotone operator. A combination of the auxiliary principle with the Tikhonov method is considered. Under some assumptions the sequence generated by such an iterative scheme is shown to converge to a solution of the problem that is required to satisfy an associated variational inequality
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Submitted on : Friday, January 11, 2013 - 8:28:09 PM
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  • HAL Id : hal-00773198, version 1



Abdellatif Moudafi, Michel Théra. Combining the auxiliary problem principle with approximation methods. Lecture notes in economics and mathematical systems, 1997, 452, pp.196-213. ⟨hal-00773198⟩



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