Semi- G -Preinvexity and Optimality in Mathematical Programming

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

doi:10.1155/2014/396142

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Home > Journals > J. Appl. Math. > Volume 2014 > Issue SI24 > Article

2014 Semi-

G

-Preinvexity and Optimality in Mathematical Programming

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

J. Appl. Math. 2014(SI24): 1-7 (2014). DOI: 10.1155/2014/396142

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Abstract

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.

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Zai Yun Peng. Yong Zhao. Kai Zhi Yu. Zhi Lin. "Semi- $G$ -Preinvexity and Optimality in Mathematical Programming." J. Appl. Math. 2014 (SI24) 1 - 7, 2014. https://doi.org/10.1155/2014/396142