Open Access
2013 Semistrict G -Preinvexity and Optimality in Nonlinear Programming
Z. Y. Peng, Z. Lin, X. B. Li
Abstr. Appl. Anal. 2013: 1-7 (2013). DOI: 10.1155/2013/103864


A class of semistrictly G -preinvex functions and optimality in nonlinear programming are further discussed. Firstly, the relationships between semistrictly G -preinvex functions and G -preinvex functions are further discussed. Then, two interesting properties of semistrictly G -preinvexity are given. Finally, two optimality results for nonlinear programming problems are obtained under the assumption of semistrict G -preinvexity. The obtained results are new and different from the corresponding ones in the literature. Some examples are given to illustrate our results.


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Z. Y. Peng. Z. Lin. X. B. Li. "Semistrict G -Preinvexity and Optimality in Nonlinear Programming." Abstr. Appl. Anal. 2013 1 - 7, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1278.90388
MathSciNet: MR3049422
Digital Object Identifier: 10.1155/2013/103864

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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