Modified Rockafellar's algorithms
Oganeditse A. Boikanyo, Gheorghe Moroşanu · 2009
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 `p for 1 ≤ p < 2. We also propose some other modifications of the celebrated Rockafellar’s algorithm which generate weak or strong convergent sequences.