Covering mappings in metric spaces and fixed points

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Stability of coincidence points and properties of covering mappings (2009, background): “Suppose that the functions Ψn are piecewise linear, namely, for x ∈ [0, 1], they linearly join the point (0, 0) to the point Mn = (1/n, 1) and, for x ∈ [1, 2], they linearly join the pointMn to the point (2, 2).”
Locally covering maps in metric spaces and coincidence points (2009, methodology): “Generalizing results from [1] we use this notion to give some coincidence theorems for pairs of single-valued and multivalued maps one of which is relatively α-covering while the other satisfies the Lipschitz condition.”
Implicit Functions and Solution Mappings (2009, background): “A related result in abstract metric spaces is given in Arutyunov [2007]. Theorem 5G.3 gives the original form of the Bartle–Graves theorem as contributed in Bartle and Graves [1952]. The particular form 5G.5 of Michael’s selection theorem4 is Lemma 2.1 in Deimling [1992]. Lemma 5G.”
Covering mappings and their applications to differential equations unsolved for the derivative (2009, unknown): “In [1, 2 ], this result was generalized to mappings of metric spaces as follows.”