Existence of Solutions to Weak Vector Variational-Like Inequalities on Riemannian Manifolds
Sanyang Liu · Journal of Southwest University · 2009
The definitions of pseudo-invex function and weak vector variation-like inequality on Riemannian manifolds are presented.The relationship between this kind of weak vector variation-like inequalities and the weak efficient solution of vector optimization problems is obtained.By using the maximum element theorem,the existence theorem for weak vector variational-like inequalities defined on Riemannian manifolds is given.Moreover,the conditions for the existence of weak efficient solution to vector optimization problems are presented.