Uniqueness of supporting hyperplanes and an alternative to solutions of variational inequalities

A uniqueness theorem of supporting hyperplanes for a class of convex level sets in a Hilbert space is obtained. As an application of this result, we prove an alternative theorem on solutions of variational inequalities defined on convex level sets. Three examples are given to demonstrate the usefulness and advantages of our alternative theorem. Copyright Springer Science+Business Media New York 2013

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Year of publication:	2013
Authors:	He, Songnian ; Xu, Hong-Kun
Published in:	Journal of Global Optimization. - Springer. - Vol. 57.2013, 4, p. 1375-1384
Publisher:	Springer
Subject:	Supporting hyperplane \| Uniqueness \| Variational inequality \| Alternative \| Hilbert space

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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