On Vector Variational Inequalities in Reflexive
Nan‐jing Huang, Ya-Ping Fang · 2005
In this paper, we study the solvability for a class of vector variational inequalities in reflexive Banach spaces. By using Brouwer fixed point theorem, we prove the solvability for this class of vector variational inequalities without monotonicity assumption. The solv- ability results for this class of vector variational inequalities with monotone mappings are also presented by using the KKM-Fan lemma.