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Journal Articles Lecture notes in economics and mathematical systems Year : 2000

Tikhonov fixed-point regularization


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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hal-00776623 , version 1 (15-01-2013)


  • 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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