Sentence examples for be a complete subspace from inspiring English sources

The proof is similar when is assumed to be a complete subspace of since.

Let P ( Y ) or f ( Y ) or g ( Y ) be a complete subspace of X. Assume there exists r ∈ [ 0, 1 ) such that, for every x, y ∈ Y, φ ( r ) min { d ( f x, P x ), d ( g y, P y ) } ≤ d ( f x, g y ). implies d ( P x, P y ) ≤ r M ( P ; f x, g y ). Then C ( P, f ) and C ( P, g ) are nonempty.

TX is a complete subspace of X.

(19) Suppose (g(X)) is a complete subspace of X.

Also, g(X) is a complete subspace of (X, d).

g ( X ) is a complete subspace of X.

If or is a complete subspace of, then and have a unique common fixed point.

If and is a complete subspace of, then and have a unique point of coincidence in.

(4) F ( X × X ) ⊆ g ( X ) and g ( X ) is a complete subspace of X.  .

If or is a complete subspace of, then, and have a unique point of coincidence.

If fX is a complete subspace of X, then T and f have a coincidence point.