Sentence examples for be a nonempty complete from inspiring English sources

Corollary 2.7 Let C be a nonempty complete subset of a convex metric space X.

Let ((X,d)) be a nonempty complete metric space, and let (0 leq lambda< 1).

Theorem 15 ([1], Banach Fixed Point Theorem) Let (U, d) be a nonempty complete metric space.

Theorem 2.6 Let C be a nonempty complete subset of a convex metric space X.

Let be a nonempty complete cone metric space, be a normal cone, and a quasicontraction and self map of with some Then Picard's iteration is -stable.

Let ( X, d ) be a nonempty complete metric space and T : X → X be a mapping satisfying 1 2 d ( x, T x ) ≤ d ( x, y ) (1.3).

Then is a nonempty complete metric space.

Then, Fix S, T) = Fix T) ⋂ Fix S) is a nonempty complete lattice.

Then, X β * is a nonempty complete sublattice of X β.

This space endowed with the metric is a nonempty complete metric space since.

Let T 0 ∈ T be the map for which Fix(T0) = X0 is a nonempty complete lattice.