Semi-G-Preinvexity and Optimality in Mathematical Programming

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.

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