科研之友
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摘要
In this paper, a new class of functions called semi-G-preinvex functions, which is generalization of semipreinvex functions and G-preinvex functions, is introduced. Some examples are given to show that there exist functions which are semi-G-preinvex functions, but are not G-invex functions, semipreinvex functions and G-preinvex functions. Furthermore, some interesting properties and characterizations of semi-G-preinvexity are established. Our results extend and improve the corresponding ones in the literature.
