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Introduction: Lung transplant (LT) recipients often receive antibiotic treatments and prophylaxis that may modify the normal respiratory microbiome [1].
Growth regulators are new generation of agrochemicals; when added in small amount as foliar sprays, they modify the normal growth, from seed germination to senescence in crop plants.
Therefore, many authors try to modify the normal Mann iterative process to have strong convergence for nonexpansive mappings; see, e.g., [10 24] and the references therein.
Attempts to modify the normal Mann iteration method (1.2) for nonexpansive mappings so that strong convergence is guaranteed have recently been made; see, for example, [2 9].
We modify the normal Mann iterative process to have strong convergence for a finite family nonexpansive mappings in the framework of Banach spaces without any commutative assumption.
Consequently, in order to obtain strong convergence, one has to modify the normal Mann's iteration algorithm; the so-called hybrid projection iteration method is such a modification.
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Ventricular dyssyncrony is an example of a condition that modifies the normal behavior of the cardiac muscle [2].
Recently, Qin and Su [18] studied the problem of modifying the normal Mann iterative process to have strong convergence for m-accretive operators.
We also remark here that many authors have been instigating the problem of modifying the normal Mann iteration process to have strong convergence for κ-strictly pseudocontractive mappings; see [24 27] and the references therein.
Q is sunny and nonexpansive; ∥ Q x − Q y ∥ 2 ≤ 〈 x − y, j ( Q x − Q y ) 〉, ∀ x, y ∈ E ; 〈 x − Q x, j ( y − Q x ) 〉 ≤ 0, ∀ x ∈ E, y ∈ C. In this paper, we investigate the problem of modifying the normal Mann iteration process for a family of κ-strictly pseudocontractive mappings.
In contrast, Prnp knockout or downregulation modifies the normal macroscopic and transcriptional behaviour of the stem cell during differentiation, confirming the participation of PRNP in early embryogenesis [19].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com