The aim of this paper is to prove that, in an appropriate setting, every iterative sequence generated by the viscosity approximation method with a sequence of contractions is convergent whenever so is every iterative sequence generated by the Halpern type iterative method. Then, using our results, we show some convergence theorems for variational inequality problems, zero point problems, and fixed point problems.
@article{1284,
title = {Viscosity approximation methods with a sequence of contractions},
journal = {CUBO, A Mathematical Journal},
volume = {16},
year = {2014},
language = {en},
url = {http://dml.mathdoc.fr/item/1284}
}
Aoyama, Koji; Kimura, Yasunori. Viscosity approximation methods with a sequence of contractions. CUBO, A Mathematical Journal, Tome 16 (2014) . http://gdmltest.u-ga.fr/item/1284/