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