Monotonicity of NFP Mappings Associated with Variational Inequality and Its Application

摘要

In this paper, we prove sufficient conditions for the monotonocity of NFP mappings associated with variational inequality problems over a general closed convex set. Sufficient conditions for the strong monotonocity of its perturbed version is also shown. These results include some well known results in the literature. Inspired by these results, we propose an appreciable iterative algorithm for the variational inequality problem whose normal fixed point map is monotone.