Semi-G-Preinvexity and Optimality in Mathematical Programming

الملخص EN

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.