A remark on the convergence of the Tikhonov regularization without monotonicity
Moudafi, Abdellatif
HAL, hal-00779258 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-07-05
Classification:  monotone and hypomonotone operators,  Tikhonov regularization,  [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] 
@article{hal-00779258,
     author = {Moudafi, Abdellatif},
     title = {A remark on the convergence of the Tikhonov regularization without monotonicity},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00779258}
}

Moudafi, Abdellatif. A remark on the convergence of the Tikhonov regularization without monotonicity. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00779258/