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"The Spanish economy is immersed in a period of deep contraction, where the unemployment rate, unless measures are taken, will rise to a very worrying level," the Bank of Spain's governor, Miguel Ángel Fernández Ordóñez, said Friday, according to Reuters.
While still below the 50 mark that divides growth and contraction, where it has been since February last year, it has risen for the third straight month.The good news, in other words, is that the euro-zone economy continues to shrink, albeit at a slower pace.
for all,, and Thus, for, is a -weak contraction, where.
Let (f : M to M) be a φ-probabilistic contraction where (varphiinPsi).
From Theorem 3.2, T is an α-ψ contraction, where α is defined by (3.2).
Let (f : X to X) be a φ-fuzzy contraction where (varphiinPsi).
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However, f is a Meir-Keeler α-contraction, where α ( x, y ) = { 1, x, y ∈ [ 1 2, 2 ], 0, otherwise.
We shall show that it is a G-λ-contraction where (lambda(x)=r^{2}) for all (xin X).
Let (T: Xto X) be a probabilistic φ-contraction, where (varphiinboldsymbol{Phi} _{mathbf{w}^) satisfies (varphi(t)>0) for all (t>0).
Particularly, in [1], Radenović obtained a fixed point theorem for non-cyclic φ-contraction, where φ is comparison function, and raised the following question.
Any mapping T : X → P b, c l ( X ) is trivially a q-G-set-valued quasi-contraction, where G = ( V ( G ), E ( G ) ) = ( X, Δ ).
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