Sentence examples for by a regular cone from inspiring English sources
We equip the space with the order relation induced by a regular cone in, that is for all if and only if In what follows will assume that the cone is normal.
Theorem 3.7 Let ( X, ⪯ ) be a partially ordered set and B be a cone ball-metric induced by the cone metric d on X with a regular cone P such that ( X, B ) is a complete cone ball-metric space.
Corollary 3.2 Let ( X, ⪯ ) be a partially ordered set and B be a cone ball-metric induced by the cone metric d on X with a regular cone P such that ( X, B ) is a complete cone ball-metric space.
It is well known that a regular cone is a normal cone (see also [27]).
Theorem 31 Let (E, ≤) be a vector lattice and K be a regular cone.
They also assumed to be complete when is a normal cone, and to be sequentially compact when is a regular cone.
If, with the additional assumption that is a regular cone in Theorem 2.3, we obtain [3, Theorem ?2].
In the anomalous transgenic lines the anthers did not form a regular cone and appeared more or less splayed out.
In what follows, we assume that E is a Banach space ordered by a regular order cone, and that the function space HL ( [ a, b ], E ) is ordered a.e.
Let be a complete regular cone metric space and a mapping on.
