On implicit vector variational inequalities
The authors develop a general scheme for dealing with implicit vector variational inequalities. The existence of solutions is studied for two kinds of implicit variational inequalities for multifunctions. Several pseudomonotonocity concepts are introduced for the variational inequalities studied. The main tool for proving existence theorems on implicit vector variational inequalities under the introduced pseudomonotonocity is a generalization of the Fan-Brouwer fixed point theorem.The existence results extend and unify earliar results of many authors under the Hausdorff topological vector space setting.
scientific article; zbMATH DE number 1506925