Sentence examples for a type of contraction from inspiring English sources

Recently, Ricarte and Romaguera [[8], Theorem 2.2] established the following new fuzzy version of Matowski's theorem by using a type of contraction introduced in the fuzzy intuitionistic context by Huang et al. [9], and that generalizes C-contractions as defined by Hicks in [10].

Research now shows that the physical sensations, usually a type of contraction, are directly linked to a contraction of the heart muscle.

We obtain a fixed point theorem for a type of generalized contractions on preordered complete fuzzy quasi-metric spaces which is applied to deduce, among other results, a procedure to show in a direct and easy fashion the existence of solution for the recurrence equations that are typically associated to Quicksort and Divide and Conquer algorithms, respectively.

In 2012, Wardowski [23] introduced a different type of contraction called an F-contraction and proved a new fixed point theorem, which generalizes the Banach contraction principle in a new way with supporting examples.

In the present article, using a mapping F: ℝ+ → ℝ we introduce a new type of contraction called F-contraction and prove a new fixed point theorem concerning F-contraction.

Recently, Wardowski [7] introduced a new type of contraction called F-contraction in his studies of contractive maps and proved a new fixed point theorem concerning F-contractions, for which the Banach contraction principle and some other known contractive conditions in the literature can be obtained as special cases.

Wardowski (Fixed Point Theory Appl. 2012 94, 2012, doi 10.1186/1687-1812-2012-94) introduced a new type of contraction called F-contraction and proved a fixed point result in complete metric spaces, which in turn generalizes the Banach contraction principle.

"In the videos you can see the blood flowing through the heart and tantalisingly it looks as though there might be 'double beating' occurring, a distinct type of contraction which has never been considered before.

In 1969, Kannan [2] initiated a new type of contraction mapping, which is called the Kannan-contraction type.

In 1968, Kannan [2, 3] introduced a new type of contraction mapping, which is called the Kannan-contraction type.

In this article, we introduce a new type of contraction and prove certain coincidence point theorems which generalize some known results in this area.