Korpelevich’s method for variational inequality problems on Hadamard manifolds

Korpelevich’s method for variational inequality problems on Hadamard manifolds

0.00 Avg rating0 Votes
Article ID: iaor20126409
Volume: 54
Issue: 3
Start Page Number: 493
End Page Number: 509
Publication Date: Nov 2012
Journal: Journal of Global Optimization
Authors: ,
Keywords: calculus of variations
Abstract:

The concept of pseudomonotone vector field on Hadamard manifold is introduced. A variant of Korpelevich’s method for solving the variational inequality problem is extended from Euclidean spaces to constant curvature Hadamard manifolds. Under a pseudomonotone assumption on the underlying vector field, we prove that the sequence generated by the method converges to a solution of variational inequality, whenever it exists. Moreover, we give an example to show the effectiveness of our method.

Reviews

Required fields are marked *. Your email address will not be published.