On the Metric Projection Operator and Its Applications to Solving Variational Inequalities in Banach Spaces

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION（2008）

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摘要

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 nonemply 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.

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关键词

fixed point,Leray-Schauder type alternative theorem,metric projection operator,variational inequality

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