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In this context, we modified the iterative MLAA (Maximum-Likelihood reconstruction of Attenuation and Activity) algorithm to improve the resulting emission image from the PET/MR system.
Panyanak [13] proved some results using Ishikawa type iteration process without the condition T p = { p } on the mapping T. Based on the above lemma, Song and Wang [14] modified the iterative algorithm due to Panyanak [13] and improved the results presented therein.
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In this paper, to overcome the difficulties, a modified chaos control (MCC) is applied to the AMV iterative procedure through modifying the iterative step of the chaotic dynamics analysis.
An improvement on this dynamic condensation technique is proposed in this paper to modify the iterative transformation matrix and achieve faster convergence.
In this paper, we have overcome these shortcomings by modifying the iterative scheme.
In the case, we have to modify the iterative scheme (1.8) in order to make it well-defined.
Specifically, we modify the iterative linear MMSE channel estimator of [21] in such a way that it can operate in a turbo fashion.
This also explains why we needed to modify the iterative update rules to implement the NMFD model our preliminary experiments conducted with and without initialization showed that the cost function converged, but the NMF dereverberation was not successful.
Motivated and inspired by the above results, Cai and Hu [22] introduced the hybrid projection algorithm to modify the iterative processes (1.10), (1.11), and (1.12) to have strong convergence for a finite family of relatively weak quasi-nonexpansive mappings in Banach spaces.
We thus modify the iterative scheme (1.8) and prove a strong convergence result for the split common fixed point problem for a uniformly asymptotically regular nonexpansive semigroup and a total asymptotically pseudocontractive mapping in infinitely dimensional Hilbert spaces without any further compactness-type condition assumed.
Question Can we modify the iterative scheme (1.8) so that strong convergence is guaranteed for a split common fixed point problem involving a uniformly asymptotically regular nonexpansive semigroup and a total asymptotically pseudocontractive mapping in infinitely dimensional Hilbert spaces without any compactness-type condition assumed?
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