Semistrict G-Preinvexity and Optimality in Nonlinear Programming

Abstract EN

A class of semistrictly G-preinvex functions and optimality in nonlinear programming are further discussed.

Firstly, the relationships between semistrictly G-preinvex functions and G-preinvex functions are further discussed.

Then, two interesting properties of semistrictly G-preinvexity are given.

Finally, two optimality results for nonlinear programming problems are obtained under the assumption of semistrict G-preinvexity.

The obtained results are new and different from the corresponding ones in the literature.

Some examples are given to illustrate our results.