We investigate the connections between vector variational inequalities and ordered variational inequalities in finite dimensional real vector spaces. We also use some fixed point theorems to prove the solvability of ordered variational inequality problems and their application to some order-optimization problems on the Banach lattices.
"Vector and Ordered Variational Inequalities and Applications to Order-Optimization Problems on Banach Lattices." J. Appl. Math. 2013 (SI23) 1 - 7, 2013. https://doi.org/10.1155/2013/439394