Given a bounded subset
B C R and a configuration X [member of] Conf (R), let [#.
epsilon]](w)y)(t) : y [member of] D(w)} is the image of a bounded subset
of E, then [Z.
This is a closed and bounded subset
of the space of d x (d + 1) matrices, hence it is compact with respect to the standard topology.
Let A be an open bounded subset
of [OMEGA] such that K [subset] A: we recall that [W.
Liu) Let X be a Banach space, and let K be a nonempty closed convex and bounded subset
n]) is called a Mackey-Cauchy sequence in A if there exist a balanced and bounded subset
B of A and for every [epsilon] > 0 a number [n.
p] is a uniformly bounded subset
of the Banach Space.
Schaefer ) Let (B, | x |) be a normed linear space, H a continuous mapping of B into B which is compact on each bounded subset
Utility correspondences used by Subiza (1994) in representation of acyclic preferences have the characteristic that each alternative is associated with an upper bounded subset
of real numbers.
m](PP))} + b(P) with b bounded on any bounded subset
If there exists a constant k [greater than or equal to] 0 such that [alpha](A(S)) [less than or equal to] k[alpha](S), for every countably bounded subset
S [subset] D, then A is called a countably k-set contraction operator.
We will say that U satisfies the Darbo condition (with a constant k [greater than or equal to] 0) if for any bounded subset
we have [chi](U(X)) [less than or equal to] k[chi](X).