Riemannian manifolds are KKM spaces
Let (M, g) be a complete, finite-dimensional Riemannian manifold. Based on the fact that any geodesic convex subset of M is a KKM space, we establish the KKM theory on such subsets originated from the Knaster-Kuratowski-Mazurkiewicz theorem in 1929.
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| Format: | Article |
| Language: | English |
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ATNAA
2019-05-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/707268 |