An Approximate Proximal Point Algorithm for Maximal Monotone Inclusion Problems

Joint Authors

Huang, Lingling
Gao, Weifeng
Liu, San-Yang

Source

Mathematical Problems in Engineering

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-12-29

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Civil Engineering

Abstract EN

This paper presents and analyzes a strongly convergent approximate proximal point algorithm for finding zeros of maximal monotone operators in Hilbert spaces.

The proposed method combines the proximal subproblem with a more general correction step which takes advantage of more information on the existing iterations.

As applications, convex programming problems and generalized variational inequalities are considered.

Some preliminary computational results are reported.

American Psychological Association (APA)

Huang, Lingling& Liu, San-Yang& Gao, Weifeng. 2011. An Approximate Proximal Point Algorithm for Maximal Monotone Inclusion Problems. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-458431

Modern Language Association (MLA)

Huang, Lingling…[et al.]. An Approximate Proximal Point Algorithm for Maximal Monotone Inclusion Problems. Mathematical Problems in Engineering No. 2011 (2011), pp.1-15.
https://search.emarefa.net/detail/BIM-458431

American Medical Association (AMA)

Huang, Lingling& Liu, San-Yang& Gao, Weifeng. An Approximate Proximal Point Algorithm for Maximal Monotone Inclusion Problems. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-458431

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-458431