Sentence examples for use the fixed point from inspiring English sources

To prove Theorem 2.1, we shall use the fixed point technique by applying the Schauder fixed point theorem [14], whereas Theorem 2.2 is established by the Banach contraction principle [15].

These studies mainly use the fixed point theory in cones.

Thus, one can use the fixed point result in metric space only for.

For this purpose we use the fixed point algorithm (see Subsection 5.1).

In order to use the fixed point theory, we should introduce a fundamental result in the fixed point theory.

In the third result, we use the fixed point theorem for contraction multivalued maps due to Covitz and Nadler.

If we use the fixed points of the corresponding deterministic system as initial conditions for the SSA, we would still lack the probability mass associated with each mode.

We will find the nonzero fixed point of by using the fixed point index theory in cones.

We will find the nonzero fixed point of A by using the fixed point index theory in cones.

The results were established by using the fixed point theorem on a cone due to Krasnoselskii.

By a similar way, one can prove the following theorem using the fixed point method.