Sentence examples for mapping principle yields from inspiring English sources

The Banach contraction mapping principle yields the uniqueness of positive solution to BVP (1.1).

The contraction mapping principle yields that ℱ has a unique fixed point, which is the unique solution of problem (4).

(Banach contraction mapping principle [6]).

The principle yields good results in other fields.

Theorem 2.1 (Contraction mapping principle).

(Contraction mapping principle, see [21]).

Applying again the maximum principle yields.

The first result relies on Banach's contraction mapping principle.

Thus, the conclusion follows by the contraction mapping principle.

and the result follows from the contraction mapping principle.

(Uniqueness result via Banach's contraction mapping principle).