Sentence examples similar to contraction established from inspiring English sources

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Here is a fixed point result for G-contraction established in [12].

In contrast to the Banach contraction principle, the Hicks and Rhodes theorem [2] does not guarantee the uniqueness of the fixed point of T. Recently, Ma et al. [3] introduced the notion of (C^ -valued metriC^ -valuednd, analogous to the Banach contraction principle, established a fixed point theoremetric(C^)-valued contraction mappingspaces

Hussain and Salimi [14] introduced some new type of contractions called α-GF-contractions and established Suzuki-Wardowski type fixed point theorems for such contractions.

Very recently, Eslamian and Abkar [14] (see also, Choudhury and Kundu [2]) introduced the concept of -weak contraction and established the following result.

When the contraction was established, the agent was added and the tension was then compared to the response to ET-1.

The contraction time established was 5 seconds to eccentric and concentric muscular action phase.

After the equilibration period, arteries were precontracted with noradrenaline (NA, 10 μM) and when a stable level of contraction was established, 2 μM ACh was applied to observe relaxation.

Beiranvand, Moradi, Omid, and Pazandeh [7] introduced the notion of a T-contraction and established a version of the Banach contraction principle.

Very recently, Hussain et al. (Fixed Point Theory Appl. 2015:185, 2015) introduced the concept of JS-contraction and established some fixed point theorems for such contractions.

In 2008 and 2009, Ćirić [1, 2] introduced new multivalued nonlinear contractions and established a few nice fixed point theorems for the multivalued nonlinear contractions, one of which is as follows.

Consequently, fixed point results involving a (mathcal{Z} -contraction are established in [12].

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