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Tikhonov fixed-point regularization

Abstract : The main purpose of this note is to propose viscosity approximation methods which amount to selecting a particular fixed-point of a given nonexpansive self mapping in a general Hilbert space. The connection with the selection principles of Attouch, in the context of convex minimization and monotone inclusion problems, is made and an application to a semi-coercive elliptic problem is then stated. Key words: nonexpansive mappings, fixed-points, monotone operators, iterative methods, convex optimization, selection, penalty ...
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Submitted on : Tuesday, January 15, 2013 - 6:25:55 PM
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  • HAL Id : hal-00776623, version 1



Abdellatif Moudafi. Tikhonov fixed-point regularization. Lecture notes in economics and mathematical systems, 2000, pp.320-328. ⟨hal-00776623⟩



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