Variational inequalities on Hadamard manifolds

Sandor Nemeth

doi:10.1016/S0362-546X(02)00266-3

Variational inequalities on Hadamard manifolds

Sandor Nemeth

Mathematics

Research output: Contribution to journal › Article

110 Citations (Scopus)

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 language	English
Pages (from-to)	1491-1498
Number of pages	8
Journal	Nonlinear Analysis: Theory, Methods & Applications
Volume	52
DOIs	https://doi.org/10.1016/S0362-546X(02)00266-3
Publication status	Published - 1 Feb 2003

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10.1016/S0362-546X(02)00266-3

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AB - 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.

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JO - Nonlinear Analysis: Theory, Methods & Applications

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Variational inequalities on Hadamard manifolds

Abstract

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