Sentence examples for be a contracting map from inspiring English sources
Let T be a contracting map from X into itself and from Y into itself.
Corollary 2 Let S r 0 F be a contracting map with q < 1 / 2, and let x ¯ satisfying ϱ X ( θ, x ¯ ) < r 0 be a fixed point of the map F.
It remains to show that (F_{R}) is a contracting map.
This implies that F is a contracting mapping.
By the assumption, we know that (0is a contracting mapping in Hilbert space H. Thus, h has a unique fixed point (x^) in H and so (x^) is a unique solution of IMQVI (2.1).
end{aligned} Similarly to the proofs in [15, 16], we see that for sufficiently small T, B u: A_{R}rightarrow A_{R} is a contract mapping.
where C 2 is independent of 0 < t < T. Choosing T sufficiently small such that T C 2 max ( C R 0 2, C R 0 2 n, C R 0 2 N − 2 ) < 1, we know that Γ is a contracted mapping and ∥ Γ v ∥ H s ≤ T C 2 max ( C R 0 2, C R 0 2 n, C R 0 2 N − 2 ) ∥ v ∥ H s < R 0. This means that Γ maps B R 0 ( 0 ) to itself.
Some agencies do a great deal of contracting with minority-owned businesses and some much less, and their reporting is all over the map.
From (4.8) and (4.12), we know that is a strictly contracting mapping.
From (3.10) and (3.14), we know that Φ is a strictly contracting mapping.
