A proximal point algorithm with general errors

Journal article

Authors / Editors

Oganeditse, Boikanyo

Research Areas

ENGINEERING AND TECHNOLOGY (Frascati classification)

Publication Details

Subtitle: A proximal point algorithm with general errors

Author list:
Oganeditse, Boikanyo

Publisher: Springer Verlag (Germany)

Publication year: 2011

Journal: Journal of Mathematical Sciences (1072-3374)

Volume number: 15

Issue number: 12

Start page: 346

End page: 356

Number of pages: 11

ISSN: 1072-3374

eISSN: 1573-8795

URL: https://biust.pure.elsevier.com/

Languages: English-United States (EN-US)

Abstract

In this paper, we state and prove a strong convergence result associated with a proximal point algorithm introduced by Yao and Shahzad [Strong convergence of a proximal point algorithm with general errors, to appear in Optim. Lett.] under less restrictive conditions on the control parameters involved. Therefore, the main result of this paper improves significantly the main result of the above quoted paper. We also give a generalization of the well known lemma due to Xu [Iterative algorithms for nonlinear operators, J. London Math. Soc. 66 (2002), 240-256].

Keywords

No matching items found.

Documents