A Note on Optimality Conditions for DC Programs Involving Composite Functions

Joint Authors

Sun, Xiang-Kai
Fu, Hong-Yong

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-05-29

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

By using the formula of the ε-subdifferential for the sum of a convex function with a composition of convex functions, some necessary and sufficient optimality conditions for a DC programming problem involving a composite function are obtained.

As applications, a composed convex optimization problem, a DC optimization problem, and a convex optimization problem with a linear operator are examined at the end of this paper.

American Psychological Association (APA)

Sun, Xiang-Kai& Fu, Hong-Yong. 2014. A Note on Optimality Conditions for DC Programs Involving Composite Functions. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1033604

Modern Language Association (MLA)

Sun, Xiang-Kai& Fu, Hong-Yong. A Note on Optimality Conditions for DC Programs Involving Composite Functions. Abstract and Applied Analysis No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1033604

American Medical Association (AMA)

Sun, Xiang-Kai& Fu, Hong-Yong. A Note on Optimality Conditions for DC Programs Involving Composite Functions. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1033604

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1033604