Sentence examples for new contraction from inspiring English sources

Later, Mihet [9, 10] further studied the fixed point theory for the different contraction mappings in fuzzy metric spaces, and introduced some new contraction mappings, such as Edelstein fuzzy contractive mappings, fuzzy ψ-contraction of type, etc.

In this paper, motivated by the work of Jachymski [12] and Branciari [1], we introduce two new contraction conditions for mappings on complete metric spaces and, using these contractive conditions, obtain some fixed point theorems.

This comes despite a recent strengthening in sterling and worries about a new contraction in world trade as "currency wars" start to be waged across the world.

But according to those who study the new contraction game, the price tag for Pohlad if the Twins died would be $150 million, chipped in by the other owners.

The OECD's chief economist, Pier Carlo Padoan, said: "After five years of crisis, the global economy is weakening again", adding that the risk of a "major new contraction" could not be ruled out.

Updated at 9.01am GMT 8.53am GMT French GDP falls 0.1%: What the economists say Diego Iscaro of consultancy IHS: The new contraction in activity will definitely not help President Hollande to improve his popularity among the electorate - which currently stands at a record low.

Many mathematicians (e.g., [1, 2, 3, 4, 5, 6]) proved several fixed point theorems to explore some new contraction-type mappings in order to generalize the classical Banach Contraction Principle.

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

In this paper, motivated by the work of Jachymski [2] and Petruşel [8], we introduce new contractions for the mappings on complete metric space and prove some fixed-point theorems.

However, we see that, without required restrictive assumptions and with conclusions more profound than in Theorems 1.1 and 1.2 or in the papers cited, it is not clear how one could construct new spaces, deliver new contractions in these spaces, and prove new analogous theorems for such contractions.

In this manuscript, we introduce a new class of generalized ((psi,varphi ))-weak cyclic compatible contractions (Definition 2.1) and prove a coincidence point and a unique common fixed point theorem for these new contractions in a complete (G_{bd} -family ((X,d_{alpha })).