TY - JOUR
T1 - Variational inequalities on Hadamard manifolds
AU - Nemeth, Sandor
PY - 2003/2/1
Y1 - 2003/2/1
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=0037290376&partnerID=8YFLogxK
U2 - 10.1016/S0362-546X(02)00266-3
DO - 10.1016/S0362-546X(02)00266-3
M3 - Article
VL - 52
SP - 1491
EP - 1498
JO - Nonlinear Analysis: Theory, Methods & Applications
JF - Nonlinear Analysis: Theory, Methods & Applications
SN - 0362-546X
ER -