Note that for the past 30 years or so, the studies of the iterative processes for the approximation of fixed points of nonexpansive mappings and fixed points of some of their generalizations have been flourishing areas of research for many mathematicians (see for more details [1, 4]).
But a larger number of angular intervals will result in a more complex decision process and the approximation is useful only if it is amenable to efficient implementation.
In this paper, it is our purpose to introduce an iterative process for the approximation of a common fixed point of a finite family of multi-valued Bregman relatively nonexpansive mappings.
As confirmed experimentally the hypothesis of active participation of the polyoxyethylene chain in the cyanoethylation process allowed the approximation of the coordination numbers of the alkali cations with the phase-transfer catalyst (GLYME-n-PN) in the class of "homogeneous" dicyanoethylated polyethyleneglycols (n = 3, 6, 9, 12, 16, 20).
Therefore on the basis of the extraction equilibrium and mass balance of the mixer-settler extraction process, here we developed a mathematic expression of the aqueous phase backmixing in a two-component separation process, and obtained a quantitative analysis of the backmixing effect on the purification process by the approximations according to certain hypotheses.
This paper investigates various methods for controlling a nonlinear process based on the approximation of the original nonlinear system.
These small errors are introduced by the manufacturing process and by the approximation of the optimum mistuning pattern by patterns of a few discrete blade frequencies.
The rest of the paper deals with the convergence analysis of iteration process (1.1) for the approximation of common fixed points of a finite family of total asymptotically nonexpansive mappings.
When the sequential procedure omitted those pairs from the approximation process, an accurate estimate was obtained for each of the single-mutant fitness measurements (see Figure S1).
And as we go through that process, of course, there's a process whereby we let the approximation go to the representation of a smooth curve.
