Existence of solutions for variational inequalities on Riemannian manifolds
نویسندگان
چکیده
We establish the existence and uniqueness results for variational inequality problems on Riemannian manifolds and solve completely the open problem proposed in [21]. Also the relationships between the constrained optimization problem and the variational inequality problems as well as the projections on Riemannian manifolds are studied. Keyword: Variational inequalities; Riemannian manifold; Monotone vector fields. AMS(2000) Math Classification: Primary:34A55; Secondary: 34B24. ∗The second author is partially supported by DGES, Grant SAB 2006-0195, Spain; the National Natural Science Foundation of China (Grant No.10671175; 10731060). The third author was partially supported by a grant from NSC and the fourth author was supported by the grant NSC 97-2115-M-110-001.
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