Let be a closed convex subset of a Hilbert space, be a strong pseudo-contraction with the coefficient.
What happens if the mapping f is a strong pseudo-contraction instead of a contraction?
Then, is a strong pseudo-contraction but not a strict pseudo-contraction.
"Sluggish economic performance was triggered by a strong contraction of private investment in the wake of increasing violence," Pinotti said.
Does Theorem 2.1 still holds if is a strong pseudo-contraction?
Since we do not know whether the mapping P C f, where f is a strong pseudo-contraction, has a unique fixed point or not, we cannot answer the above question easily based on Suzuki's results.
Since we don't know whether the mapping, where is a strong pseudo-contraction, has a unique fixed point or not, we can not get the desired results from Theorem S. Next, we give the second convergence theorem for the non-expansive semigroup by Moudafi's viscosity approximation methods with strong pseudo-contractions.
Theorem 7 Let A and B be two nonempty closed subsets of a complete metric space (X, d), and let ψ : ℝ+ → [0,1) be a stronger Meir-Keeler type mapping in X. Suppose f : A ∪ B → A ∪ B is a cyclic orbital stronger Meir-Keeler ψ-contraction. Then A ∩ B is nonempty and f has a unique fixed point in A ∩ B. Proof.
With respect to cardiac physiology, mouse heart is very different from human heart [1]: basal heart rate is 7 to 10 times higher, there is a strong dependence of contraction upon sarcoplasmic reticulum Ca2+ release, and different ion channel isoforms are present.
In particular, companies employing higher shares of white-collar, high-skilled, and permanent workers were less likely to experience a strong contraction of demand and credit.
