convex set

(redirected from Convex subset)

convex set

[′kän‚veks ′set]
(mathematics)
A set which contains the entire line segment joining any pair of its points.
References in periodicals archive ?
0] [member of] B(H) and K is a weakly compact convex subset of the predual B[(H).
Let E be a normal topological vector space and U an open convex subset of E with 0 [member of] U.
In fact, in a convex subset there is a minimal shortest path connecting any pair of points.
2] norm of the difference of discrete functions and their discrete mean value on the boundary of a convex subset, but rather an easier bound on the [L.
n] : X(x) [greater than or equal to] [alpha]} is a nonempty compact convex subset of [R.
Sastry and Babu [5] proved that any fixed point of a Lipschitzian pseudocontractive self mapping of a non-empty closed convex subset K of a Banach space X is unique and may be norm approximated by Mann iterative procedure (1.
The image of the energy-Casimir map is a convex subset of [R.
n] :X(x) [greater than or equal to] [alpha]} is a non empty compact convex subset of [R.