Sentence examples for modifying the normal from inspiring English sources

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.

Thus, defining and modifying the "normal" epigenetic landscape of cells of the immune system could have important clinical consequences for the diagnosis and treatment of transplanted patients.

XL "C" (calcium chloride 5 μL) applied topically to our ex vivo frog palate model, causes mucus "clumping" without modifying the normal physical appearance of the ciliated surface when compared with ciliated surface exposed to frog Ringer solution.

The chemical and biological properties of monensin A are related to their ability to form complexes with cations, especially sodium, and transport the complex formed through cell membranes, thus modifying the normal concentration gradient of Na+/K+ and thus leading to cell death [ 1– 4].

Ventricular dyssyncrony is an example of a condition that modifies the normal behavior of the cardiac muscle [2].

Introduction: Lung transplant (LT) recipients often receive antibiotic treatments and prophylaxis that may modify the normal respiratory microbiome [1].

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.

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.