Viscosity approximation methods with a sequence of contractions
Author
Aoyama, Koji
Kimura, Yasunori
Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/128410.4067/S0719-06462014000100002
Abstract
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.