Tan and Xu [8] pointed out that condition (A) is weaker than the compactness of K. We shall use condition (A′) instead of compactness of K to study the strong convergence of { x n } defined in (1.14).
Throughout the rest of the paper, we shall use the notation gx instead of g ( x ), where g : X → X and x ∈ X, for brevity.
Occasionally, we shall use LIM n ( a n ) instead of LIM ( a ).
In the sequel, we shall use the term hyperbolic space instead of Kohlenbach hyperbolic space for the sake of simplicity.
Weyl called this additional structure the "metric connection" on a manifold; however, we shall use the term "length connection" instead, in order to avoid confusion with the modern usage of the term "metric connection", which today denotes the symmetric linear connection that is uniquely determined by a Riemannian metric tensor according to (9).
Instead, we shall use Poincaré maps for the orbits in the phase plane that determined by the dynamics of eq. 3 with the control of eq. 7.
Instead we shall use bootstrapping as it is less susceptible to bias and leads to more stable model development [ 28].
Since the three tuning conditions (CTO, SNTO and FSTO) correspond to three different ωLC values, we shall in the following denote them as ωCTO, ωSNTO and ωFSTO, respectively, and similarly we shall use ΔCTO, ΔSNTO and ΔFSTO instead of ΔLC, as appropriate.
In the envisaged application context, a population node is typically a village; therefore, for shortness, we shall use here the term "village" instead of "population node". 1 A village i ∈ V that is not a potential DC can be viewed alternatively as a potential DC with capacity zero.
Also, from now on, we shall use the words decreasing and increasing instead of non-increasing and non-decreasing, respectively.
