Title of article
Variational inequalities on Hadamard manifolds Original Research Article
Author/Authors
S.Z. Németh، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
8
From page
1491
To page
1498
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.
Keywords
Geodesic convex functions , Geodesic convex sets , Variational inequalities , Hemicontinuous vector fields , fixed point property , Monotone vector fields , Hadamard manifolds , Coercive vector fields
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2003
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
858263
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