Advances in Nonlinear Variational Inequalities Volume 25 (2022), Number 1,77 - 90 Vector Variational Inequalities in Terms of Fréchet Subdifferentials with Genralized Convex Function

摘要

In this paper,nonsmooth vector optimization problem involving approximate starshaped preinvex functions and strongly locally starshaped invex functions in terms of the Fréchet subdifferentials is considered. Further, we derive optimality conditions for a point to be a local sharp and local weak sharp efficient solution of the vector optimization problem involving approximately starshaped preinvex and strongly locally starshaped invex functions in terms of the Fréchet subdifferentials and superdifferentials. In order to justify the theorems some examples are also given.