Sentence examples for mapping principle that from inspiring English sources

As (Psi(L <1), we deduce from the Banach contraction mapping principle that (mathcal{Q}) is a contraction.

As (L_{1}T+mL_{2}<1), it follows from the Banach contraction mapping principle that (mathcal{A}) is a contraction.

Most of the world's writing systems use the one-letter-one-phoneme mapping principle that also characterizes the Italian orthography.

In view of the contraction mapping principle, that P has a unique fixed point.

Thus, it follows by the contraction mapping principle that the problem (1.3 - 1.2 1.3 - 1.2ique solution on [ 0, T ]. □.

And since, we conclude by way of the Banach's contraction mapping principle that has a unique fixed point.

The well-known Banach contraction mapping principle states that if ( X, d ) is a complete metric space and f : X → X is a self-mapping such that d ( f x, f y ) ≤ λ d ( x, y ) (1). for all x, y ∈ X, where 0 ≤ λ < 1, then there exists a unique x ∈ X such that f x = x.

Thus the Banach contraction mapping principle implies that has a unique fixed point in, and so has a unique fixed point in ; by the definition of has a unique fixed point in, that is, is the unique solution of (1.1).

Thus the Banach contraction mapping principle implies that (widetilde{A}^{m_{0}}) has a unique fixed point (x^) in (C(I)), and so (widetilde{A}) has a unique fixed point (x^) in (C(I)).

It follows from the contraction-mapping principle that the mapping A has a unique fixed point u in B R ( 0 ).

Hence, by means of the Banach contraction mapping principle we obtain that T has a unique fixed point in E, that is, that FBVP (1.4) has a unique solution.