Characterizations of Asymptotic Cone of the Solution Set of a Composite Convex Optimization Problem

Author

Chen, Zhe

Source

Journal of Applied Mathematics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-09-05

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

We characterize the asymptotic cone of the solution set of a convex composite optimization problem.

We then apply the obtained results to study the necessary and sufficient conditions for the nonemptiness and compactness of the solution set of the problem.

Our results generalize and improve some known results in literature.

American Psychological Association (APA)

Chen, Zhe. 2012. Characterizations of Asymptotic Cone of the Solution Set of a Composite Convex Optimization Problem. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-993424

Modern Language Association (MLA)

Chen, Zhe. Characterizations of Asymptotic Cone of the Solution Set of a Composite Convex Optimization Problem. Journal of Applied Mathematics No. 2012 (2012), pp.1-7.
https://search.emarefa.net/detail/BIM-993424

American Medical Association (AMA)

Chen, Zhe. Characterizations of Asymptotic Cone of the Solution Set of a Composite Convex Optimization Problem. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-993424

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-993424