Conditions ensuring the applicability of cutting-plane methods for solving variational inequalities (Q1587939)

The authors define several stronger monotonicity and pseudomonotonicity properties for mappings \(F: D\to\mathbb{R}^n\) (\(D\) being an open convex subset of \(\mathbb{R}^n\)) and give linear algebraic and first-order sufficient conditions ensuring them. These new notions are useful for studying variational inequality problems and, in particular, for analyzing the convergence of cutting plane and interior point methods.