Geodesic
The Perturbed Generalized Tikhonov's Algorithm
Serdica Mathematical Journal, Tome 25 (1999) no. 2, pp. 91-102.

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We work on the research of a zero of a maximal monotone operator on a real Hilbert space. Following the recent progress made in the context of the proximal point algorithm devoted to this problem, we introduce simultaneously a variable metric and a kind of relaxation in the perturbed Tikhonov’s algorithm studied by P. Tossings. So, we are led to work in the context of the variational convergence theory.
Keywords: Tikhonov’s Regularization, Perturbation, Variable Metric, Relaxation, Variational Convergence 
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     title = {The {Perturbed} {Generalized} {Tikhonov's} {Algorithm}},
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Alexandre, P. The Perturbed Generalized Tikhonov's Algorithm. Serdica Mathematical Journal, Tome 25 (1999) no. 2, pp. 91-102. http://geodesic.mathdoc.fr/item/SMJ2_1999_25_2_a0/