Then we obtain some existence results for the abstract measure system by using the measure of noncompactness and a corresponding fixed point theorem.
In Section 4, by using the measure of noncompactness, we prove some random versions of Sadovskii's fixed point theorems in a vector separable Banach space.
Recently, by using the measure theory, Blot, Cieutat and Ezzinbi [19, 20] introduced the concepts of μ-pseudo almost periodicity and μ-pseudo almost automorphy which are generalization of weighted pseudo almost periodicity and weighted pseudo almost automorphy, respectively.
Recently, by using the measure theory, Chang [20] and Abdelkarim-Nidal Akdad [21] presented the notion of μ-(S^{p} -pseudo almoS^{p} -pseudo (almostμ-(S^{p})-pautomorphy is abbrneralization of a μ-pseudo almost automorphic function, respectively.
Here we have studied the filtering problem. Figure 4 illustrates the enhancement of the WL filter in relation to the SL one by using the measure Figure 4 Performance of filters.
If W ⊆ X is nonempty, bounded, closed and convex, the map F : W → 2 W is a closed α contraction map with F ( x ) a nonempty, convex and compact subset of W for each x ∈ W, then F has at least one fixed point in W. In this section, by using the measure of noncompactness and fixed point theorems, we give the existence results of the nonlocal initial value problem (1.1).
The closest results to the measured values were achieved by using the measured velocity values as the mean value of the profile.
The extracted peak areas of each transition from all internal standard peptides were obtained using Pinpoint software, and linear standard measurement curves were then constructed by using the measured peak areas and theoretical sample concentrations.
Reference [15] proposed an emergency EEAC based transient instability detection technique by using the measured trajectory.
