Abstract
In this paper, proximal point algorithms for nonexpansive (sequences of nonexpan-sive) maps and maximal monotone operators are studied. A modification of Xu's algorithm is given and a strong convergence result associated with it is proved when the error sequence is in ℓp for 1 ≤ p < 2. We also propose some other modifications of the celebrated Rockafellar's algorithm which generate weak or strong convergent sequences.
| Original language | English |
|---|---|
| Pages (from-to) | 101-122 |
| Number of pages | 22 |
| Journal | Mathematical Sciences Research Journal |
| Volume | 13 |
| Issue number | 5 |
| Publication status | Published - 2009 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
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Cite this
Boikanyo, O. A., & Moroşanu, G. (2009). Modified Rockafellar's algorithms. Mathematical Sciences Research Journal, 13(5), 101-122.