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
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
Journal title :
Nonlinear Analysis Theory, Methods & Applications
