Sentence examples for point principles from inspiring English sources

The results are based on some standard fixed point principles.

We apply some fixed point principles and Leray-Schauder degree theory to obtain the main results.

By applying some standard fixed point principles, some existence and uniqueness results are obtained.

Existence theorems for the Urysohn integral equations can be obtained applying various fixed point principles.

By applying some well-known fixed point principles, some existence and uniqueness results are obtained.

In Section 4, by applying some standard fixed point principles, we verify the existence of solutions for problem (1.1 - 1.3 1.1 - 1.3

The following fixed point principle can be found in [22].

This fixed point principle is stated independently and may be of interest in itself.

The following fixed point principle (see, e.g., [17, 18]) will be used later.

In 2008 Suzuki proved the following refinement of Banach's fixed point principle.

A fixed point principle plays a crucial role in the proof of our main result.