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.
Recently, Qin and Su [18] studied the problem of modifying the normal Mann iterative process to have strong convergence for m-accretive operators.
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].
Its main limitation is that it required direct soft tissue injections via a lateral incision and an anteromedial arthrotomy, which can modify the normal anatomy.
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.
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.
Since the Mann iterative algorithm only has weak convergence in infinite dimension spaces, many authors tried to modify the normal Mann iteration algorithm to have strong convergence for nonexpansive mappings.
