Vector optimization for a class of nonconvex functions (Q5931821)

The author introduces the notion of vector valued semi-preinvexity for functions whose domain and range are subsets of real normed spaces and obtains Karush-Kuhn-Tucker type optimality conditions for a vector optimization problem involving such a function. Also proved is the validity of a variational-like inequality for a vector valued semi-preinvex function with a few additional assumptions.