Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 25, No 2, (1999), 91p-102p
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.