A remark on the convergence of the Tikhonov regularization without monotonicity

Abstract : Relying on an idea of T. Pennanen, we use a localized version of maximal hypomonotonicity, and prove that it is enough to guarantee the local convergence of the Tikhonov regularization. In the process, we revisit this method which together with the help of the analysis developed by T. Pennanen allows us to obtain the desired result.
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Submitted on : Monday, January 21, 2013 - 9:47:24 PM
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Abdellatif Moudafi. A remark on the convergence of the Tikhonov regularization without monotonicity. Mathematical Inequalities and Apllications, 2004, 7 (2), pp.283-288. ⟨hal-00779258⟩

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