Semi-G-Preinvexity and Optimality in Mathematical Programming

Joint Authors

Lin, Zhi
Zhao, Yong
Peng, Zai Yun
Yu, Kai Zhi

Source

Journal of Applied Mathematics

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-04-07

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

We mainly discuss the properties and applications of semi-G-preinvexity, which was introduced in Peng and Chang 2013.

Examples are given to show the existence of semi-G-preinvex functions.

Three important properties and characterizations of semi-G-preinvex functions are established.

Furthermore, under semi-G-preinvexity, some optimality results are obtained in nonlinear programming problems with inequality constraint.

Our results improve and generalize some known results.

American Psychological Association (APA)

Peng, Zai Yun& Zhao, Yong& Yu, Kai Zhi& Lin, Zhi. 2014. Semi-G-Preinvexity and Optimality in Mathematical Programming. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-468817

Modern Language Association (MLA)

Peng, Zai Yun…[et al.]. Semi-G-Preinvexity and Optimality in Mathematical Programming. Journal of Applied Mathematics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-468817

American Medical Association (AMA)

Peng, Zai Yun& Zhao, Yong& Yu, Kai Zhi& Lin, Zhi. Semi-G-Preinvexity and Optimality in Mathematical Programming. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-468817

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-468817