Abstract
In this paper, we introduce a regularization method based on the Browder–Tikhonov regularization method for solving a class of accretive variational inequalities over the set of common fixed points of a nonexpansive semigroup on a uniformly smooth Banach space. Three algorithms based on this regularization method are given and their strong convergence is studied. Finally, a finite-dimensional example is developed to illustrate the numerical behaviour of the algorithms.
Original language | English |
---|---|
Pages (from-to) | 1553-1567 |
Number of pages | 15 |
Journal | Optimization |
Volume | 65 |
Issue number | 8 |
DOIs | |
Publication status | Published - 2 Aug 2016 |
Keywords
- accretive mapping
- common fixed point
- nonexpansive semigroup
- NST condition
- Regularization
- variational inequality