Sentence examples for classes of contraction from inspiring English sources

In this paper, we introduce certain new classes of contraction mappings and establish fixed point theorems for such kind of mappings in non-Archimedean fuzzy metric spaces.

As the classes of contraction and non-contraction images in the video are largely imbalanced, ROC curves are used to optimize the trade-off between false positive and false negative rates.

We proved that the class of α-ψ-type contractions includes large classes of contraction-type operators, whose fixed points can be obtained by means of the Picard iteration.

These are the Nagy-Foiaş classes of contractions [[9], p.72].

We introduce some new contractions on intuitionistic fuzzy metric spaces, and give fixed point results for these classes of contractions.

The great interest in the study of various fixed point theories for different classes of contractions on some specific spaces is known.

We prove that this new kind of contractions properly includes the family of all Meir-Keeler contractions and other well-known classes of contractions that have been given very recently (for instance, those using simulation functions and manageable functions).

Next, a second and a third datasets consisting each of 20 signals randomly chosen from each of the two classes of contractions (pregnancy, labor) were used to determine the weights θ i,j and λ i respectively.

In this work we define two new classes of contractions called -contractions of the first and second kind and establish some related new fixed point results in the setting of preordered metric spaces, and then we derive some new best proximity point theorems for these new classes of non-self contractive mappings.

They proved that the conclusion of the Banach contraction holds for a wider class of contraction mappings.

Recently, Karapinar [8] introduced a new class of contraction mappings called generalized α-ϕ-Geraghty contraction type mappings.