Pseudomonotone Complementarity Problems and Variational Inequalities
Jen‐Chih Yao, Ouayl Chadli · Kluwer Academic Publishers eBooks · 2006
In this chapter, we report recent results mainly on existence for complementarity problems and variational inequalities in infinite-dimensional spaces under generalized monotonicity, especially (algebraic) pseudomonotonicity. Variational inequalities associated to a topological pseudomonotone operator have been also considered and some possible extensions of complementarity problems and variational inequalities have been included. Finally some discussions on the equivalence of complementarity problems for pseudomonotone operators are given.