Modified Rockafellar's algorithms

Journal article

Authors / Editors

Oganeditse, Boikanyo

Research Areas

ENGINEERING AND TECHNOLOGY (Frascati classification)

Publication Details

Subtitle: Modified Rockafellar's algorithms

Author list: Oganeditse, Boikanyo

Publisher: Springer Verlag (Germany)

Publication year: 2009

Journal: Journal of Mathematical Sciences (1072-3374)

Volume number: 13

Issue number: 5

Start page: 101

End page: 112

Number of pages: 12

ISSN: 1072-3374

eISSN: 1573-8795

URL: http://citeseerx.ist.psu.edu/

Languages: English-United States (EN-US)

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.

Keywords

Proximal point algorithms, monotone operator, nonexpansive map, weak and strong convergence

Documents

No matching items found.