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Journals / Advances in the Theory of Nonlinear Analysis and its Application / 2019 / Cilt: 3 - Sayı: 2

Riemannian manifolds are KKM spaces

Sehie PARK

Pages
64–73
DOI
—

Abstract

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-Mazurkiewitz theorem in 1929.