Sentence examples for point of contraction from inspiring English sources

The Picard iteration has been successfully employed in approximating the fixed point of contraction mappings and its variants.

There are many works on a coupled fixed point of contraction, weak contraction and generalized contraction mappings on various metric spaces such as [6 9].

The first result in the existence and uniqueness of fixed point of contraction mapping in partially ordered complete metric spaces was given by Ran and Reurings [21].

The purpose of this paper is to present some existence results for coupled fixed points of contraction type operators in metric spaces endowed with a directed graph.

The classical Banach contraction principle proved in complete metric spaces continues to be an indispensable and effective tool in theory as well as applications, which guarantees the existence and uniqueness of fixed points of contraction self-mappings besides offering a constructive procedure to compute the fixed point of the underlying mapping.

In complete metric spaces it continues to be an indispensable and effective tool in theory and applications, which guarantees the existence and uniqueness of fixed points of contraction self-mappings besides offering a constructive procedure to compute the fixed point of the underlying mapping.

In [20], the existence and uniqueness of solutions were discussed for mixed and Dirichlet boundary value problems by the fixed point theory of contraction mapping.

Fixed points of contractions under conditions involving rational expressions are also investigated.

The first technique is to introduce new space structures with certain properties which guarantee the existence and/or uniqueness of fixed points of contractions.

It is a well-known fact that the mathematical results regarding fixed points of contraction-type mappings are very useful for determining the existence and uniqueness of solutions to various mathematical models.

Namely,,, is the unique fixed point of the contraction,.