On the Metric Projection Operator and Its Applications to Solving Variational Inequalities in Banach Spaces
Li, Jinlu, "On the Metric Projection Operator and Its Applications to Solving Variational Inequalities in Banach Spaces" (2008). Faculty Emeritus. 9.
In this paper, we investigate the characteristics of the metric projection operator P K : B → K, where B is a Banach space with dual space B∗, and K is a nonempty closed convex subset of B. Then we apply its properties to study the existence of solutions of variational inequalities in uniformly convex and uniformly smooth Banach spaces.