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

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