Variational inequalities on Hadamard manifolds

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Abstract

The notion of variational inequalities is extended to Hadamard manifolds and related to geodesic convex optimization problems. Existence and uniqueness theorems for variational inequalities on Hadamard manifolds are proved. A convexity property of the solution set of a variational inequality on a Hadamard manifold is presented. (C) 2002 Elsevier Science Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)1491-1498
Number of pages8
JournalNonlinear Analysis: Theory, Methods & Applications
Volume52
DOIs
Publication statusPublished - 1 Feb 2003

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