Sentence examples for be an ordered complete from inspiring English sources

Let ((X,d,preceq )) be an ordered complete metric space.

Let ((X,preceq,d)) be an ordered complete metric space.

Let ((X,preceq,d)) be an ordered complete b-metric space.

Theorem 3.2 Let ( X, ℱ, ≼ ) be an ordered complete gauge space satisfying the assumption (H).

Let be an ordered complete gauge space and be an operator.

Corollary 2.5 Let ( X, b d, ⪯ ) be an ordered complete b-dislocated metric space.

((X,preceq,d)) is called an ordered complete metric space if ((X,preceq,d)) is an ordered metric space, and ((X,d)) is a complete metric space.

Theorem 3.7 Let ( X, d, ≤ ) be an ordered and complete metric space, and let S : X × X → X be an operator.

Since E is an order complete Riesz space, Theorem 1.20 in [5] ensures that (1) is well defined.

Let ((mathbb{R}, leq, A)) be a totally ordered complete A-metric space with A-metric defined as in Example 2.3.

Since is an order-complete PL space, there exist the supremum of denoted by and the infimum of denoted by.