On topological index of solutions for variational inequalities on Riemannian manifolds (Q693008)
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scientific article; zbMATH DE number 6113610
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On topological index of solutions for variational inequalities on Riemannian manifolds |
scientific article; zbMATH DE number 6113610 |
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On topological index of solutions for variational inequalities on Riemannian manifolds (English)
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7 December 2012
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The authors introduce the notion of index of solvability for certain variational inequality problems on a Riemannian manifold. They prove some properties of this index that are useful for showing the existence of solutions. An application deals with optimization on a Hadamard manifold.
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variational inequality
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Riemannian manifold
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Hadamard manifold
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geodesic
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convex set
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strongly convex set
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locally convex set
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multivalued map
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\(\widetilde{J}\)-multimap
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fixed point index
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solvability index
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non-smooth functional
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optimization
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