Tang, Guo-ji; Huang, Nan-jing - In: Journal of Global Optimization 54 (2012) 3, pp. 493-509
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...