Generalized Monotone Equilibrium Problems and Variational Inequalities
I. V. Konnov · Kluwer Academic Publishers eBooks · 2006
This chapter is devoted to equilibrium problems and variational inequalities under generalized monotonicity assumptions on cost functions. We present basic existence and uniqueness results of solutions both for scalar and for vector problems. Relationships between generalized monotonicity properties of cost functions of these problems are also considered. Moreover, we describe basic approaches to construct iterative solution methods, including their convergence properties.