Indeed, it was proved by Alspach  in 1981 that there is a non-expansive mapping on a non-void weakly compact convex set
into itself that is fixed point free.
v] in (8) is the smallest convex set
containing all data points; and [T.
3--X (A, b) is non-convex, but it is composed of several n-dimensional rectangular regions with each rectangular region being a closed convex set
n] [right arrow] R is convex if dom f is a convex set
and if for any x, y [member of] dom f and any [theta] [member of] R with 0 [less than or equal to] 9 [less than or equal to] 1, then
Thus, every convex set
is also an invex set with respect to (Eq.
In the second paper the authors Cai Huaxian, Tian Tian and Cai Yilin studied the optimization problem with nonlinear constrained convex set
by the application of nonlinear neural network.
n] be symmetric with non empty interior Harmonically convex set
and let [phi] : [OMEGA] [right arrow] [R.
Given a real Hausdorff topological vector space E, a closed convex set
If the function H is univalent in U and H(U) is a convex set
Unfortunately, the union of polytopes is not a convex set
Assuming that we have at our disposal an algorithm called CircumRatio(X,Y), determining the scale ratio to apply to a convex set
X to circumscribe it to a convex set
Y, the algorithm estimating the similarity degree between two shapes is the following:
Constraints on the strategies are described by a nonempty, closed, convex set
K, model which covers most cases of practical interest.