Article ID Journal Published Year Pages File Type
842483 Nonlinear Analysis: Theory, Methods & Applications 2009 12 Pages PDF
Abstract

We establish the existence and uniqueness results for variational inequality problems on Riemannian manifolds and solve completely the open problem proposed in [S.Z. Németh, Variational inequalities on Hadamard manifolds, Nonlinear Anal. 52 (2003) 1491–1498]. Also the relationships between the constrained optimization problem and the variational inequality problems as well as the projections on Riemannian manifolds are studied.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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