Riemannian manifolds are KKM spaces

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:3 Issue:2
Riemannian manifolds are KKM spaces

Riemannian manifolds are KKM spaces

Pages : 64-73

View : 71 | Download : 28

Publication Date : 2019-06-30

Article Type : Review Paper

Abstract :Let insert ignore into journalissuearticles values(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-Mazurkiewitz theorem in 1929.
Keywords : Riemannian manifold, KKM theorem, Abstract convex space, Geodesic convex set

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