Sentence examples for map principle to from inspiring English sources

Zhang et al. [11] introduced a multi-label classification method based on kNN which uses a Maximum a Posteriori (MAP) principle to predict the class of an new element.

In 1965, Prešić [36] extended the Banach contraction mapping principle to mappings defined on product spaces and proved the following theorem.

In 1965, Prešić [4, 5] extended the Banach contraction mapping principle to mappings defined on product spaces and proved the following theorem.

Then we use the Banach contraction mapping principle to deduce (2.1).

In the present paper, we adopt the contraction mapping principle to study the boundedness and stability of (1.1) and (1.2).

Nadler [1] generalized the Banach contraction mapping principle to set-valued functions and proved the following fixed point theorem.

To accomplish our purpose, we apply the Banach contraction mapping principle to show that (mathcal{A}) has a unique fixed point.

We use the nonlinear alternative of Leray-Schauder and the Banach contraction mapping principle to obtain the existence and uniqueness of solutions.

Now we use the Banach contraction mapping principle to prove that the boundary value problem (1.1 - 1.2 1.1 - 1.2ique solution on ([0,1]).

In this section, we use the Banach contraction mapping principle to prove the existence and uniqueness of the solution of problem (1.1).

We employ the new method of contraction mapping principle to investigate the stability of impulsive cellular neural networks with time-varying delays.