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Addition of 5 parts of GNP leads to ~40% and ~25% increase of stiffness in the PCL- and PLA-matrix systems, respectively, whereas the reinforcing effect is practically eliminated in the co-continuous systems due to GNP-induced lower continuity of PLA which enhances toughness.
The lower continuity of, in turn, implies the existence of such that converges to.
The burrow system of A. chlorotica is characterized by lower continuity, which however did not result in a lower soil diffusivity.
The lower continuity of F, in turn, implies the existence of u ¯ i j ∈ F ( P C ( x i j − γ k i j − 1 u i j ) ) such that u ¯ i j converges to u ¯.
A key result of this work is the confirmation that the distributions and dimensions of architectural elements are controlled by salt-related faults and topography, with higher dimensional variability and lower continuity of sand-prone elements occurring in the vicinity of salt ridges.
In contrast, patients with poorer mental health reported lower continuity.
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Among many approaches for dealing with the lower semicontinuity, continuity and Hölder continuity of the solution mapping for a parametric vector equilibrium problem in general metric spaces, the scalarization method is of considerable interest.
Taking the upper limit on both sides of (7) and using (8), (9), the upper semi-continuity of α, the lower semi-continuity of β and the continuity of ψ, we obtain ψ ( r ) ≤ α ( r ) − β ( r ), which by (3) implies that r = 0.
Zhong and Huang [35] also derived a sufficient and necessary condition (Hg)' for the Hausdorff lower semi-continuity and Hausdorff continuity of the solution mapping to a parametric weak vector variational inequalities in reflexive Banach spaces.
In this article, we establish sufficient conditions for the solution sets of parametric generalized quasi-variational relation problems with the stability properties such as the upper semicontinuity, lower semi-continuity, the Hausdorff lower semicontinuity, continuity, Hausdorff continuity, and closedness.
Sequential lower semi-continuity and hemi-continuity are evident; moreover, monotonicity, coercitivity and a certain growth condition hold.
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