Gap Functions And Error Bounds For Non-differentiable Convex Vector Optimization Problems

In this paper,we mainly discuss the gap functions and error bounds of a non-smooth cone-convex vector optimization problem with a general cone.Using coderivatives,we give two different gap functions.The existence theorems of the error bound for the weakly efficient solution set of the vector optimization problem are established by using the high-order cone strong convex functions.Our results are extensions of the previous ones.