Semi- -Preinvexity and Optimality in Mathematical Programming

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

Journal of Applied Mathematics, 2014, vol. 2014, 1-7

Abstract:

We mainly discuss the properties and applications of semi- -preinvexity, which was introduced in Peng and Chang 2013. Examples are given to show the existence of semi- -preinvex functions. Three important properties and characterizations of semi- -preinvex functions are established. Furthermore, under semi- -preinvexity, some optimality results are obtained in nonlinear programming problems with inequality constraint. Our results improve and generalize some known results.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:396142

DOI: 10.1155/2014/396142

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